Time-integrated CP violation in beauty at LHCb Moriond Electroweak - - PowerPoint PPT Presentation

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Time-integrated CP violation in beauty at LHCb Moriond Electroweak - - PowerPoint PPT Presentation

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Time-integrated CP violation in beauty at LHCb Moriond Electroweak 2019 Emilie Bertholet on behalf of the LHCb collaboration What am I going to talk about? Morion EW 2019 Emilie Bertholet (LPNHE, Paris) eberthol@cern.ch 2 What am I

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SLIDE 1

Time-integrated CP violation in beauty at LHCb

Emilie Bertholet on behalf of the LHCb collaboration

Moriond Electroweak 2019

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SLIDE 2

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 2

What am I going to talk about?

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SLIDE 3

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 2

What am I going to talk about?

γ γ α α

d

m ∆

K

ε

K

ε

s

m ∆ &

d

m ∆

ub

V β sin 2

(excl. at CL > 0.95) < 0 β
  • sol. w/ cos 2
excluded at CL > 0.95 α β γ

ρ

  • 1.0
  • 0.5

0.0 0.5 1.0 1.5 2.0

η

  • 1.5
  • 1.0
  • 0.5

0.0 0.5 1.0 1.5

excluded area has CL > 0.95 Summer 18

CKM

f i t t e r

ρ

  • 1
  • 0.5

0.5 1 1.5 2

η

  • 1.5
  • 1
  • 0.5

0.5 1 1.5

α β γ

ρ

  • 1
  • 0.5

0.5 1 1.5 2

η

  • 1.5
  • 1
  • 0.5

0.5 1 1.5

γ γ α α

d

m ∆

K

ε

K

ε

d

m ∆ &

s

m ∆

cb

/V

ub

V ν τ → + B β sin2

< 0 β
  • sol. w/ cos2
(excl. at CL > 0.95) excluded area has CL > 0.95 e x c l u d e d a t C L > . 9 5 FPCP 2007

CKM

f i t t e r

CKM triangle measurements: Update of the LHCb combination

  • f the CKM angle γ
slide-4
SLIDE 4

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 2

What am I going to talk about?

γ γ α α

d

m ∆

K

ε

K

ε

s

m ∆ &

d

m ∆

ub

V β sin 2

(excl. at CL > 0.95) < 0 β
  • sol. w/ cos 2
excluded at CL > 0.95 α β γ

ρ

  • 1.0
  • 0.5

0.0 0.5 1.0 1.5 2.0

η

  • 1.5
  • 1.0
  • 0.5

0.0 0.5 1.0 1.5

excluded area has CL > 0.95 Summer 18

CKM

f i t t e r

ρ

  • 1
  • 0.5

0.5 1 1.5 2

η

  • 1.5
  • 1
  • 0.5

0.5 1 1.5

α β γ

ρ

  • 1
  • 0.5

0.5 1 1.5 2

η

  • 1.5
  • 1
  • 0.5

0.5 1 1.5

γ γ α α

d

m ∆

K

ε

K

ε

d

m ∆ &

s

m ∆

cb

/V

ub

V ν τ → + B β sin2

< 0 β
  • sol. w/ cos2
(excl. at CL > 0.95) excluded area has CL > 0.95 e x c l u d e d a t C L > . 9 5 FPCP 2007

CKM

f i t t e r

CKM triangle measurements: Update of the LHCb combination

  • f the CKM angle γ

Polarisation puzzle: B0→ρ0K*(892)0 amplitude analysis

Longitudinal Polarization Fraction in Charmless B Decays

LHCb Belle BABAR Our Avg. HFLAV May 2018 fL K∗0e+e− λλK∗0 ppK∗+ ppK∗0 ρ+ρ− ρ+ρ0 ρ0ρ0 ωρ+ a+

1 a− 1

K∗0K∗0 K K∗+ρ− K∗+ρ0 K∗0ρ0 K∗0ρ+ ωK∗0 ωK∗+ ωK∗

2(1430)+

ωK∗

2(1430)0

φK∗0 φK∗+ φK1(1270)+ φK∗

2(1430)0

φK∗

2(1430)+

0.0 0.7 1.4

slide-5
SLIDE 5

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 2

What am I going to talk about?

γ γ α α

d

m ∆

K

ε

K

ε

s

m ∆ &

d

m ∆

ub

V β sin 2

(excl. at CL > 0.95) < 0 β
  • sol. w/ cos 2
excluded at CL > 0.95 α β γ

ρ

  • 1.0
  • 0.5

0.0 0.5 1.0 1.5 2.0

η

  • 1.5
  • 1.0
  • 0.5

0.0 0.5 1.0 1.5

excluded area has CL > 0.95 Summer 18

CKM

f i t t e r

ρ

  • 1
  • 0.5

0.5 1 1.5 2

η

  • 1.5
  • 1
  • 0.5

0.5 1 1.5

α β γ

ρ

  • 1
  • 0.5

0.5 1 1.5 2

η

  • 1.5
  • 1
  • 0.5

0.5 1 1.5

γ γ α α

d

m ∆

K

ε

K

ε

d

m ∆ &

s

m ∆

cb

/V

ub

V ν τ → + B β sin2

< 0 β
  • sol. w/ cos2
(excl. at CL > 0.95) excluded area has CL > 0.95 e x c l u d e d a t C L > . 9 5 FPCP 2007

CKM

f i t t e r

CKM triangle measurements: Update of the LHCb combination

  • f the CKM angle γ

Polarisation puzzle: B0→ρ0K*(892)0 amplitude analysis Large localised ACP in B to 3 hadrons modes: B±→π±K-K+

Dalitz plot analysis

Longitudinal Polarization Fraction in Charmless B Decays

LHCb Belle BABAR Our Avg. HFLAV May 2018 fL K∗0e+e− λλK∗0 ppK∗+ ppK∗0 ρ+ρ− ρ+ρ0 ρ0ρ0 ωρ+ a+

1 a− 1

K∗0K∗0 K K∗+ρ− K∗+ρ0 K∗0ρ0 K∗0ρ+ ωK∗0 ωK∗+ ωK∗

2(1430)+

ωK∗

2(1430)0

φK∗0 φK∗+ φK1(1270)+ φK∗

2(1430)0

φK∗

2(1430)+

0.0 0.7 1.4

B± → K±K+K− B± → K±π+π− B± → π±π+π− B± → π±K+K−

slide-6
SLIDE 6

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch

What am I going to talk about?

γ γ α α

d

m ∆

K

ε

K

ε

s

m ∆ &

d

m ∆

ub

V β sin 2

(excl. at CL > 0.95) < 0 β
  • sol. w/ cos 2
excluded at CL > 0.95 α β γ

ρ

  • 1.0
  • 0.5

0.0 0.5 1.0 1.5 2.0

η

  • 1.5
  • 1.0
  • 0.5

0.0 0.5 1.0 1.5

excluded area has CL > 0.95 Summer 18

CKM

f i t t e r

ρ

  • 1
  • 0.5

0.5 1 1.5 2

η

  • 1.5
  • 1
  • 0.5

0.5 1 1.5

α β γ

ρ

  • 1
  • 0.5

0.5 1 1.5 2

η

  • 1.5
  • 1
  • 0.5

0.5 1 1.5

γ γ α α

d

m ∆

K

ε

K

ε

d

m ∆ &

s

m ∆

cb

/V

ub

V ν τ → + B β sin2

< 0 β
  • sol. w/ cos2
(excl. at CL > 0.95) excluded area has CL > 0.95 e x c l u d e d a t C L > . 9 5 FPCP 2007

CKM

f i t t e r

Longitudinal Polarization Fraction in Charmless B Decays

LHCb Belle BABAR Our Avg. HFLAV May 2018 fL K∗0e+e− λλK∗0 ppK∗+ ppK∗0 ρ+ρ− ρ+ρ0 ρ0ρ0 ωρ+ a+

1 a− 1

K∗0K∗0 K K∗+ρ− K∗+ρ0 K∗0ρ0 K∗0ρ+ ωK∗0 ωK∗+ ωK∗

2(1430)+

ωK∗

2(1430)0

φK∗0 φK∗+ φK1(1270)+ φK∗

2(1430)0

φK∗

2(1430)+

0.0 0.7 1.4

B± → K±K+K− B± → K±π+π− B± → π±π+π− B± → π±K+K−

CKM triangle measurements: Update of the LHCb combination

  • f the CKM angle γ

Polarisation puzzle: B0→ρ0K*(892)0 amplitude analysis Large localised ACP in B to 3 hadrons modes: B±→π±K-K+

Dalitz plot analysis

ACP in baryons: CP asymmetries in Λb0 and Ξb0 to phhh

2

slide-7
SLIDE 7

Update of the LHCb combination of the CKM angle γ

LHCb-CONF-2018-002

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SLIDE 8

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch

γ from tree decays: B→ Dh (h=K, K*, π, ππ ...)

Interference between a b → c (favoured) and b → u (suppressed) transitions

Asup Afav = rDh

B eδDh

B ±γ

where r is the ratio

  • f magnitudes

and δ is the strong phase difference

4

The CKM angle γ

γ = arg(− VudV*

ub

VcdV*

cb

)

Afav ∝ VcbVus Asup ∝ VubVcs

Vcb Vub The angle γ can be measured from tree (SM benchmark) and loop decays (NP searches). Theoretically very clean Can be obtained via time-dependent or time-integrated methods (GLW, ADS...). Low branching ratios for those modes. ⇒ The best precision on γ is obtained by combining measurements from many decay modes.

slide-9
SLIDE 9

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 5

LHCb combination

0.2 0.4 0.6 0.8 1

CL − 1

50 100 150

] ° [ γ

68.3% 95.5%

LHCb

Preliminary

decays

s

B decays B decays

+

B Combination

B decay D decay Method Ref. Dataset

†

Status since last com- bination [3] B+ → DK+ D → h+h GLW [14] Run 1 & 2 Minor update B+ → DK+ D → h+h ADS [15] Run 1 As before B+ → DK+ D → h+ππ+π GLW/ADS [15] Run 1 As before B+ → DK+ D → h+hπ0 GLW/ADS [16] Run 1 As before B+ → DK+ D → K0

Sh+h

GGSZ [17] Run 1 As before B+ → DK+ D → K0

Sh+h

GGSZ [18] Run 2 New B+ → DK+ D → K0

SK+π

GLS [19] Run 1 As before B+ → D⇤K+ D → h+h GLW [14] Run 1 & 2 Minor update B+ → DK⇤+ D → h+h GLW/ADS [20] Run 1 & 2 Updated results B+ → DK⇤+ D → h+ππ+π GLW/ADS [20] Run 1 & 2 New B+ → DK+π+π D → h+h GLW/ADS [21] Run 1 As before B0 → DK⇤0 D → K+π ADS [22] Run 1 As before B0 → DK+π D → h+h GLW-Dalitz [23] Run 1 As before B0 → DK⇤0 D → K0

Sπ+π

GGSZ [24] Run 1 As before B0

s → D⌥ s K±

D+

s → h+hπ+

TD [25] Run 1 Updated results B0 → D⌥π± D+ → K+ππ+ TD [26] Run 1 New

† −1

In agreement with world averages (CKMfitter, UTfit, HFLAV). Supersedes the previous LHCb measurement. Most precise determination of γ from a single experiment to date.

γ = (74.0+5.0

−5.8)∘ LHCb combination

Strategy similar to previous combinations. Frequentist treatment. This combination includes new and updated measurements.

40 50 60 70 80 90 100 110

)

  • (

γ

2 1 3 2 1 4 2 1 5 2 1 6 2 1 7 2 1 8 2 1 9

LHCb

Preliminary

LHCb-CONF-2018-002

Run 2 measurements were performed with an integrated luminosity of 2fb-1 @13TeV. Analyses with the full 6fb-1 dataset still to come.

slide-10
SLIDE 10

B0→ρ0K*(892)0 amplitude analysis

Run 1 data (3fb-1)

First full amplitude analysis

  • f this mode !

arXiv:1812.07008

slide-11
SLIDE 11

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 7

Overview

B0

b

d d s d d K∗0 ρ0 g W + u, c, t B0

b

d d u u s ρ0 K∗0 W +

Doubly Cabibbo suppressed Tree Gluonic-penguin

d d B0 ¯ b ¯ s ¯ u, ¯ c, ¯ t W + Z, γ ¯ u, ¯ d u, d ρ0 K∗0

Electoweak-penguin Dominant contribution

(π+π-)(Κ-π+) final state: leading order diagrams

Polarisation puzzle: large polarisation fractions expected in B→ VV decays (due to quark helicity conservation and the V-A nature of the weak interaction). → holds for tree dominated decays (eg. ρρ ) → fail for penguin dominated decays (eg. ΦΦ) 4 particles in the final state → angular analysis The sign of the EW-penguin contribution depends on the helicity eigenstate. Theoretical works predict enhanced direct CPV due to interference with B0→ωK*.

arXiv:hep-ph/0502139

slide-12
SLIDE 12

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 8

Amplitude Analysis of B→ VV Decays

d5Γ d cos θππd cos θKπdϕdmππdmKπ ∝ Φ4(mππ, mKπ) ∑

i

AiRi(mππ, mKπ,)gi(θππ, θKπ, ϕ)

2

B0 K+ π− π+ π− θKπ θππ φ

5-dimensional decay-rate

Amplitudes

S- and P-waves combinations: VV, VS, SV, SS. VV final state has 3 polarisations: longitudinal (L), parallel (||), and transverse (⏊). Polarisation fractions

Observables

CP-average of the polarisation fractions CP-asymmetries of the polarisation fractions Phase difference with respect to the reference channel: ρ(Kπ) Triple Product Asymmetries (TPA)

λ = L, ||, ⊥

˜ fλ

VV = 1

2 (fλ

VV + ¯

fλ

VV)

Aλ

VV =

¯ fλ

VV − fλ VV

¯ fλ

VV + fλ VV

δ0

VV = (δ0 VV − δρ(Kπ))

Contribution (ππ) (Kπ) Scalar f0(500), f0(980), f0(1300) K∗

0(1430)0+NR

Vector ω, ρ0(770) K∗(892)0

A1

T = f⊥ fL sin(δ⊥ − δL)

A2

T = f⊥ f|| sin(δ⊥ − δ||)

Ak

T−true = (Ak T − ¯

Ak

T)/2

Ak

T−fake = (Ak T + ¯

Ak

T)/2

k = 1,2

}

f λ

V V =

|Aλ

V V |2

|AL

V V |2 + |A|| V V |2 + |A⊥ V V |2

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slide-13
SLIDE 13

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 9

5200 5250 5300 5350 5400 5450 5500

]

2

c [MeV/ )

−

π

+

K

−

π

+

π ( m

1 −

10 1 10

2

10

3

10

)

2

c Yield / ( 7 MeV/

sample B )

−

π

+

K )(

−

π

+

π ( → B )

−

π

+

K )(

−

π

+

π ( →

s

B Combinatorial bkg

LHCb

5200 5250 5300 5350 5400 5450 5500

]

2

c [MeV/ )

+

π

−

K

+

π

−

π ( m

1 −

10 1 10

2

10

3

10

)

2

c Yield / ( 7 MeV/

sample B )

+

π

−

K )(

+

π

−

π ( → B )

+

π

−

K )(

+

π

−

π ( →

s

B Combinatorial bkg

LHCb

Analysis strategy

Candidate selection

Trigger + selection based of the topology of the decay Particle identification (PID) → reduce cross-feeds Multivariate analysis (MVA) → reduce combinatorial Invariant mass windows: 300 < m(ππ) < 1100 MeV/c2 and 750 < m(Kπ) < 1200 MeV/c2

Fit to the 4-body ππΚπ mass spectrum

Inject simulated events with negative weights to cancel Bs0→K*(892)0K ̅ *(892)0 Use the sPlot technique to obtain background subtracted data samples

Amplitude analysis

5D model (angular analysis) 14 amplitudes (Isobar model)

Dominant systematics

VV: B0→a1(1260)-K+ pollution S-waves: parameters related to the mass propagators and resolution effects

Fit to the invariant mass distributions of candidates

arXiv:1812.07008

slide-14
SLIDE 14

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 10

More results in the backup

Selected results

˜ fL

ωK* = 0.68 ± 0.017 ± 0.16

AL

ρK* = − 0.62 ± 0.09 ± 0.09

Large CP asymmetry: first significant observation (5σ) of CP asymmetry in angular distributions of B→VV decays

The longitudinal polarisation fraction and CP asymmetry for ω0K* are also measured

˜ fL

ρK* = 0.164 ± 0.015 ± 0.022

AL

ωK* = − 0.13 ± 0.27 ± 0.13 arXiv:1812.07008

Triple Products Asymmetries are found to be below 5% which is consistent with SM prediction. arXiv:hep-ph/0303159

LHCb Belle BABAR Our Avg. HFLAV May 2018 fL K∗0e+e− λλK∗0 ppK∗+ ppK∗0 ρ+ρ− ρ+ρ0 ρ0ρ0 ωρ+ a+

1 a− 1

K∗0K∗0 K∗+K∗0 K∗+ρ− K∗+ρ0 K∗0ρ0 K∗0ρ+ ωK∗0 ωK∗+ ωK∗

2(1430)+

ωK∗

2(1430)0

φK∗0 φK∗+ φK1(1270)+ φK∗

2(1430)0

φK∗

2(1430)+

0.0 0.7 1.4

Small longitudinal polarisation fraction

⇒ hint for a relevant contribution from the EW penguin diagram.

Longitudinal polarisation fraction in charmless B decays

slide-15
SLIDE 15

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 10

More results in the backup

Selected results

˜ fL

ωK* = 0.68 ± 0.017 ± 0.16

AL

ρK* = − 0.62 ± 0.09 ± 0.09

Large CP asymmetry: first significant observation (5σ) of CP asymmetry in angular distributions of B→VV decays

The longitudinal polarisation fraction and CP asymmetry for ω0K* are also measured

˜ fL

ρK* = 0.164 ± 0.015 ± 0.022

AL

ωK* = − 0.13 ± 0.27 ± 0.13 arXiv:1812.07008

Triple Products Asymmetries are found to be below 5% which is consistent with SM prediction. arXiv:hep-ph/0303159

LHCb Belle BABAR Our Avg. HFLAV May 2018 fL K∗0e+e− λλK∗0 ppK∗+ ppK∗0 ρ+ρ− ρ+ρ0 ρ0ρ0 ωρ+ a+

1 a− 1

K∗0K∗0 K∗+K∗0 K∗+ρ− K∗+ρ0 K∗0ρ0 K∗0ρ+ ωK∗0 ωK∗+ ωK∗

2(1430)+

ωK∗

2(1430)0

φK∗0 φK∗+ φK1(1270)+ φK∗

2(1430)0

φK∗

2(1430)+

0.0 0.7 1.4

Small longitudinal polarisation fraction

⇒ hint for a relevant contribution from the EW penguin diagram.

Longitudinal polarisation fraction in charmless B decays

slide-16
SLIDE 16

B±→π±K-K+ Dalitz Plot analysis

Performed for the first time !

Run 1 data (3fb-1)

LHCb-PAPER-2018-051 (in preparation)

slide-17
SLIDE 17

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 12

dΓ = 1 (2π3) 1 32M 2 |A|2dm2

12dm2 23

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Isobar parameters weak + strong interaction ⇒ sensitive to CPV Lineshape strong dynamics ⇒ no CPV

Experimental parametrisation of the DP: Isobar Model

Information about the resonant structure. Direct access to phases. Branching ratios, direct and indirect (local) CP asymmetries.

Quasi-two body approach. The total amplitude of the decay is described as a coherent sum of partial amplitudes:

Why Dalitz plot analysis?

A(m2

12, m2 23) = nRes

∑

j=1

cjFj(m2

12, m2 23)

slide-18
SLIDE 18

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 13

Analysis Overview

B+ B-

Analysis strategy

Candidates selection: loose preselection + MVA + PID. Fit to the πKK invariant mass to extract the yields. Amplitude analysis using the isobar model.

B+ and B- selected candidates

Previous LHCb analysis found large localised CP asymmetries in B→ hhh modes (h = π, K). Not always clearly related to any resonance. Could be explained by long distance effects such as hadronic ππ ↔ KK re-scattering.

LHCb-PAPER-2018-051

  • Phys. Rev. D 90, 112004 (2014)
slide-19
SLIDE 19

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch

Analysis Overview

B+ B-

NB+ = 2052 ± 102 NB- = 1566 ± 84

CPV !

Analysis strategy

Candidates selection: loose preselection + MVA + PID. Fit to the πKK invariant mass to extract the yields. Amplitude analysis using the isobar model. Previous LHCb analysis found large localised CP asymmetries in B→ hhh modes (h = π, K). Not always clearly related to any resonance. Could be explained by long distance effects such as hadronic ππ ↔ KK re-scattering.

≠

B+ and B- selected candidates

13

LHCb-PAPER-2018-051

  • Phys. Rev. D 90, 112004 (2014)
slide-20
SLIDE 20

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch

Accounts for the ππ ↔ KK re- scattering (1.0 GeV <mKK< 1.5 GeV) Phenomenological description of the partonic interaction that produces the final state.

14

{

{

(πK) (KK)

Results

LHCb-PAPER-2018-051

Phys.Rev. D71 (2005) 074016

  • Phys. Rev. D 92, 054010 (2015)
slide-21
SLIDE 21

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch

Accounts for the ππ ↔ KK re- scattering (1.0 GeV <mKK< 1.5 GeV) Phenomenological description of the partonic interaction that produces the final state.

{

{

(πK) (KK)

Dominant contribution from the non-resonant component. Small contribution from Φ(1020). Strong destructive interferences.

Projection in the low m2KK region

Results

LHCb-PAPER-2018-051

Phys.Rev. D71 (2005) 074016

  • Phys. Rev. D 92, 054010 (2015)

Observables

ACP,i = | ¯ ci|2 − |ci|2 | ¯ ci|2 + |ci|2

FFi = ∬ (|ciFi|2 + | ¯ ci ¯ Fi|2 ) dm2

π±K∓dm2 K+K−

∬ (|A|2 + | ¯ A|2 ) dm2

π±K∓dm2 K+K−

14

slide-22
SLIDE 22

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch

Accounts for the ππ ↔ KK re- scattering (1.0 GeV <mKK< 1.5 GeV) Phenomenological description of the partonic interaction that produces the final state.

{

{

(πK) (KK)

Dominant contribution from the non-resonant component. Small contribution from Φ(1020). Strong destructive interferences. Large ACP in the re-scattering region.

Observables

ACP,i = | ¯ ci|2 − |ci|2 | ¯ ci|2 + |ci|2

FFi = ∬ (|ciFi|2 + | ¯ ci ¯ Fi|2 ) dm2

π±K∓dm2 K+K−

∬ (|A|2 + | ¯ A|2 ) dm2

π±K∓dm2 K+K−

Projection in the low m2KK region

Results

LHCb-PAPER-2018-051

Phys.Rev. D71 (2005) 074016

  • Phys. Rev. D 92, 054010 (2015)

14

slide-23
SLIDE 23

CP asymmetries in Λb0 and Ξb0 to phhh (in a nutshell)

Run 1 data (3fb-1)

LHCb-PAPER-2018-044 (in preparation)

slide-24
SLIDE 24

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 16

Analysis in a nutshell

CPV in baryon decays

Only direct CPV. Theory predicts about 20% CPV for some charmless Λb decays. Phys. Rev. D 91, 116007 (2015) CPV not observed in the baryon sector so far. Copious production at LHCb of b-baryons ⇒ good for precision measurements.

Selected results

ACP integrated over the whole phase-space. Low invariant-mass regions. Quasi 2- or 3-body decay regions.

18 CP asymmetries measured in total: no significant CPV

  • bserved in any of

the measurements.

LHCb-PAPER-2018-044

slide-25
SLIDE 25

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 17

Summary and prospects

LHCb γ combination is dominating the world average and we expect to improve the precision in the coming years: 1.5° in 2025 and 0.35° degree with upgrade II. The B0→ρ0K*(892)0 amplitude analysis results gives an insight on the polarisation puzzle and the role of the EW-penguin. Results from B0→K*K ̅ * are about to appear. The B±→π±K-K+ DP analysis shows that a re-scattering component may explain the large localised CP-asymmetries that are observed in B→hhh decays. Imminent results from B→πππ will also add information on these asymmetries. The CP-asymmetries measured in Λb0 and Ξb0 to phhh are compatible with zero. This result may shed a light on the local CP-asymmetry seen in Λb0→pπππ using TPA.

Bonus: results from B+→J/Ψ ρ+ (run 1) Most precise results to date!

Very broad program of searches for CP-asymmetries at LHCb. The addition of more data will increase the sensitivity to the CP observables and give access to more decay channels.

arXiv:1808.08865

ℬ(B+ → J/ψρ+) = (3.81+0.25

−0.24 ± 0.35) × 10−5

𝒝CP(B+ → J/ψρ+) = − 0.045+0.056

−0.057 ± 0.008

slide-26
SLIDE 26

Thank you for your attention!

slide-27
SLIDE 27

BACKUP

slide-28
SLIDE 28

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch

CP parity changes the sign of the weak phase. 3 different types of CPV

  • CPV in mixing: neutral meson oscillations
  • CPV in interference between mixing and decay
  • CPV in decay: |Af| different from |A

̅ f̅| → this talk To have access to CPV we need: at least 2 interfering amplitudes as well as non-zero strong and weak phase differences.

28

CP violation

ACP = Γ(i → f ) − Γ(¯ i → ¯ f ) Γ(i → f ) + Γ(¯ i → ¯ f ) ∝ sin(δ1 − δ2)sin(ϕ1 − ϕ2) A(i → f ) = |A|eiδeiϕ ¯ A(¯ i → ¯ f ) = |A|eiδe−iϕ CP

}

Covered in ???'s talk [link]

slide-29
SLIDE 29

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch

3x3 complex unitary CKM matrix

  • 3 angles
  • 1 phase (only source of CPV in SM)

Wolfenstein parametrisation

  • 3rd order development in λ = |Vus|
  • λ ≈ 0.23, A ≈ 0.8, ρ ≈ 0.14, η ≈ 0.35

⇒ Unexplained hierarchy between the transitions.

VCKM = Vud Vus Vub Vcd Vcs Vcb Vtd Vts Vtb

29

CKM formalism

Transitions between quarks in the SM can be expressed in the Cabibbo–Kobayashi–Maskawa (CKM) matrix [put a date].

= 1 − λ2/2 λ Aλ3(ρ − iη) −λ 1 − λ2/2 Aλ2 Aλ3(1 − ρ − iη) −Aλ2 1 + O(λ4)

0.2 0.4 0.6 0.8 1

ρ

0.2 0.4 0.6

η

contours hold 68%, 95% CL

HFLAV

Moriond 2018

γ β α Using the unitarity relation from the 1st and 3rd column we can from the so-called Unitarity triangle. VCKM may not be unitary in presence of New Physics. To test unitarity and self-consistency we need to

  • ver-constrain the Unitarity triangle by performing

multiple measurements of its angles and sides.

γ = (73.5+4.2

−5.1) ∘

β = (67.8+0.7

−0.7) ∘

α = (84.9+5.1

−4.5) ∘

slide-30
SLIDE 30

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 30

LHCb γ combination

Decay Parameters Source Ref. D0 – D0 -mixing xD , yD HLFAV [29] D → K+π rKπ

D

, δKπ

D

HLFAV [29] D → h+h Adir

CP (KK) , Adir CP (ππ)

HLFAV [29] D → K±π⌥π+π δK3π

D

, κK3π

D

, rK3π

D

CLEO+LHCb [30] D → π+ππ+π Fππππ CLEO [31] D → Kππ0 δK2π

D

, κK2π

D

, rK2π

D

CLEO+LHCb [30] D → h+hπ0 Fπππ0 , FKKπ0 CLEO [31] D → K0

SK+π

δKSKπ

D

, κKSKπ

D

, rKSKπ

D

CLEO [32] D → K0

SK+π

rKSKπ

D

LHCb [33] B0 → DK⇤0 κDK⇤0

B

, ¯ RDK⇤0

B

, ¯ ∆DK⇤0

B

LHCb [23] B+ → DK⇤+ κDK⇤+

B

LHCb [20] B0

s → D⌥ s K±

φs HFLAV [29] B0 → D⌥π± β HFLAV [29] B0 → D⌥π± rD⌥π±

B

See text [26]

External inputs used in the combination Confidence intervals and central values for the parameters of interest

Quantity Value 68.3% CL 95.5% CL γ [] 74.0 [68.2, 79.0] [61.6, 83.7] rDK

B

0.0989 [0.0939, 0.1040] [0.0891, 0.1087] δDK

B

[] 131.2 [125.3, 136.3] [118.3, 140.9] rD⇤K+

B

0.191 [0.153, 0.236] [0.121, 0.287] δD⇤K+

B

[] 331.6 [321.4, 339.8] [309, 346] rDK⇤+

B

0.092 [0.059, 0.110] [0.034, 0.126] δDK⇤+

B

[] 40 [20, 132] [5, 155] rDK⇤0

B

0.221 [0.174, 0.265] [0.123, 0.309] δDK⇤0

B

[] 187 [167, 210] [148, 239] rDKππ

B

0.081 [0.054, 0.106] [0.000, 0.125] δDKππ

B

[] 351.4 [314.0, 359.8] [180, 360] rD⌥

s K±

B

0.301 [0.215, 0.391] [0.14, 0.49] δD⌥

s K±

B

[] 355 [339, 372] [321, 390] δD⌥π±

B

[] 17 [0, 46] [0, 76]

slide-31
SLIDE 31

Emilie Bertholet (LPNHE, Paris) eberthol@cern.ch 90th LHCb week December 2018 31

B0→ρ0K*(892)0

Fit projections on the helicity angles

1 − 0.5 − 0.5 1

π K

θ cos

50 100 150 200 250 300 350

Yield / ( 0.067 ) LHCb

B0

0.5 − 0.5

ππ

θ cos

50 100 150 200 250 300 350

Yield / ( 0.053 ) LHCb

B0

2 4 6

[rad] φ

50 100 150 200 250

Yield / ( 0.21 rad ) LHCb

B0

1 − 0.5 − 0.5 1

π K

θ cos

50 100 150 200 250 300 350

Yield / ( 0.067 ) LHCb

B ̅ 0

0.5 − 0.5

ππ

θ cos

50 100 150 200 250 300 350

Yield / ( 0.053 ) LHCb

B ̅ 0

2 4 6

[rad] φ

50 100 150 200 250

Yield / ( 0.21 rad ) LHCb

B ̅ 0

Total PDF. + interf.

*

K ω +

*

K ρ = VV ) + interf. π K ( ω ) + π K ( ρ = VS + interf.

*

K

3

S +

*

K

2

S +

*

K

1

S = SV ) + interf. π K (

3

S ) + π K (

2

S ) + π K (

1

S = SS (1370) f (980) and f (500), f ≡

3

S ,

2

S ,

1

S Where:

slide-32
SLIDE 32

Emilie Bertholet (LPNHE, Paris) eberthol@cern.ch 90th LHCb week December 2018 32

B0→ρ0K*(892)0

Fit projections on the invariant masses

800 900 1000 1100

]

2

c [MeV/

π K

m

50 100 150 200 250 300 350 400

)

2

c Yield / ( 8 MeV/ LHCb

B0

400 600 800 1000

]

2

c [MeV/

ππ

m

50 100 150 200 250 300

)

2

c Yield / ( 13 MeV/ LHCb

B0

800 900 1000 1100

]

2

c [MeV/

π K

m

50 100 150 200 250 300 350 400

)

2

c Yield / ( 8 MeV/ LHCb

B ̅ 0

400 600 800 1000

]

2

c [MeV/

ππ

m

50 100 150 200 250 300

)

2

c Yield / ( 13 MeV/ LHCb

B ̅ 0

Total PDF. + interf.

*

K ω +

*

K ρ = VV ) + interf. π K ( ω ) + π K ( ρ = VS + interf.

*

K

3

S +

*

K

2

S +

*

K

1

S = SV ) + interf. π K (

3

S ) + π K (

2

S ) + π K (

1

S = SS (1370) f (980) and f (500), f ≡

3

S ,

2

S ,

1

S Where:

slide-33
SLIDE 33

Emilie Bertholet (LPNHE, Paris) eberthol@cern.ch 90th LHCb week December 2018 33

B0→ρ0K*(892)0

Yields obtained from the mass fit

Final State Year Trigger B0 B0

s

Combinatorial ( π+π− )( K+π− ) 2011 TIS 985 ± 34 20 ± 9 249 ± 23 TOSnoTIS 615 ± 27 7 ± 5 134 ± 17 2012 TIS 2451 ± 54 62 ± 13 487 ± 35 TOSnoTIS 1422 ± 41 30 ± 9 250 ± 24 Final State Year Trigger B0 B0

s

Combinatorial ( π+π− )( K−π+ ) 2011 TIS 1013 ± 34 4 ± 7 204 ± 22 TOSnoTIS 620 ± 26 6 ± 4 69 ± 12 2012 TIS 2521 ± 53 46 ± 13 437 ± 32 TOSnoTIS 1439 ± 40 12 ± 7 220 ± 23 i State Parity Ai gi(θππ, θKπ, φ) Ri(mππ, mKπ) 1 V V 1 A0

ρK∗

cos θππ cos θKπ Mρ(mππ)MK∗(mKπ) 2 V V 1 A||

ρK∗ 1 √ 2 sin θππ sin θKπ cos φ

Mρ(mππ)MK∗(mKπ) 3 V V −1 A⊥

ρK∗ i √ 2 sin θππ sin θKπ sin φ

Mρ(mππ)MK∗(mKπ) 4 V V 1 A0

ωK∗

cos θππ cos θKπ Mω(mππ)MK∗(mKπ) 5 V V 1 A||

ωK∗ 1 √ 2 sin θππ sin θKπ cos φ

Mω(mππ)MK∗(mKπ) 6 V V −1 A⊥

ωK∗ i √ 2 sin θππ sin θKπ sin φ

Mω(mππ)MK∗(mKπ) 7 V S 1 Aρ(Kπ)

1 √ 3 cos θππ

Mρ(mππ)M(Kπ)(mKπ) 8 V S 1 Aω(Kπ)

1 √ 3 cos θππ

Mω(mππ)M(Kπ)(mKπ) 9 SV 1 Af0(500)K∗

1 √ 3 cos θKπ

Mf0(500)(mππ)MK∗(mKπ) 10 SV 1 Af0(980)K∗

1 √ 3 cos θKπ

Mf0(980)(mππ)MK∗(mKπ) 11 SV 1 Af0(1370)K∗

1 √ 3 cos θKπ

Mf0(1370)(mππ)MK∗(mKπ) 12 SS 1 Af0(500)(Kπ)

1 3

Mf0(500)(mππ)M(Kπ)(mKπ) 13 SS 1 Af0(980)(Kπ)

1 3

Mf0(980)(mππ)M(Kπ)(mKπ) 14 SS 1 Af0(1370)(Kπ)

1 3

Mf0(1370)(mππ)M(Kπ)(mKπ)

Contributions to the total amplitude

slide-34
SLIDE 34

Emilie Bertholet (LPNHE, Paris) eberthol@cern.ch 90th LHCb week December 2018 34

B0→ρ0K*(892)0

Parameter CP average, ˜ f CP asymmetry, A |A0

ρK∗|2

0.32 ± 0.04 ± 0.07 −0.75 ± 0.07 ± 0.17 |A||

ρK∗|2

0.70 ± 0.04 ± 0.08 −0.049 ± 0.053 ± 0.019 |A⊥

ρK∗|2

0.67 ± 0.04 ± 0.07 −0.187 ± 0.051 ± 0.026 |A0

ωK∗|2

0.019 ± 0.010 ± 0.012 −0.6 ± 0.4 ± 0.4 |A||

ωK∗|2

0.0050 ± 0.0029 ± 0.0031 −0.30 ± 0.54 ± 0.28 |A⊥

ωK∗|2

0.0020 ± 0.0019 ± 0.0015 −0.2 ± 0.9 ± 0.4 |Aω(Kπ)|2 0.026 ± 0.011 ± 0.025 −0.47 ± 0.33 ± 0.45 |Af0(500)K∗|2 0.53 ± 0.05 ± 0.10 −0.06 ± 0.09 ± 0.04 |Af0(980)K∗|2 2.42 ± 0.13 ± 0.25 −0.022 ± 0.052 ± 0.023 |Af0(1370)K∗|2 1.29 ± 0.09 ± 0.20 −0.09 ± 0.07 ± 0.04 |Af0(500)(Kπ)|2 0.174 ± 0.021 ± 0.039 0.30 ± 0.12 ± 0.09 |Af0(980)(Kπ)|2 1.18 ± 0.08 ± 0.07 −0.083 ± 0.066 ± 0.023 |Af0(1370)(Kπ)|2 0.139 ± 0.028 ± 0.039 −0.48 ± 0.17 ± 0.15 f 0

ρK∗

0.164 ± 0.015 ± 0.022 −0.62 ± 0.09 ± 0.09 f ||

ρK∗

0.435 ± 0.016 ± 0.042 0.188 ± 0.037 ± 0.022 f ⊥

ρK∗

0.401 ± 0.016 ± 0.037 0.050 ± 0.039 ± 0.015 f 0

ωK∗

0.68 ± 0.17 ± 0.16 −0.13 ± 0.27 ± 0.13 f ||

ωK∗

0.22 ± 0.14 ± 0.15 0.26 ± 0.55 ± 0.22 f ⊥

ωK∗

0.10 ± 0.09 ± 0.09 0.3 ± 0.8 ± 0.4

ωK∗

± ± ± ± Parameter CP average, 1

2(δB + δB) [rad]

CP difference, 1

2(δB − δB) [rad]

δ0

ρK∗

1.57 ± 0.08 ± 0.18 0.12 ± 0.08 ± 0.04 δ||

ρK∗

0.795 ± 0.030 ± 0.068 0.014 ± 0.030 ± 0.026 δ⊥

ρK∗

−2.365 ± 0.032 ± 0.054 0.000 ± 0.032 ± 0.013 δ0

ωK∗

−0.86 ± 0.29 ± 0.71 0.03 ± 0.29 ± 0.16 δ||

ωK∗

−1.83 ± 0.29 ± 0.32 0.59 ± 0.29 ± 0.07 δ⊥

ωK∗

1.6 ± 0.4 ± 0.6 −0.25 ± 0.43 ± 0.16 δω(Kπ) −2.32 ± 0.22 ± 0.24 −0.20 ± 0.22 ± 0.14 δf0(500)K∗ −2.28 ± 0.06 ± 0.22 −0.00 ± 0.06 ± 0.05 δf0(980)K∗ 0.39 ± 0.04 ± 0.07 0.018 ± 0.038 ± 0.022 δf0(1370)K∗ −2.76 ± 0.05 ± 0.09 0.076 ± 0.051 ± 0.025 δf0(500)(Kπ) −2.80 ± 0.09 ± 0.21 −0.206 ± 0.088 ± 0.034 δf0(980)(Kπ) −2.982 ± 0.032 ± 0.057 −0.027 ± 0.032 ± 0.013 δf0(1370)(Kπ) 1.76 ± 0.10 ± 0.11 −0.16 ± 0.10 ± 0.04 δ||−⊥

ρK∗

3.160 ± 0.035 ± 0.044 0.014 ± 0.035 ± 0.026 δ||−0

ρK∗

−0.77 ± 0.09 ± 0.06 −0.109 ± 0.085 ± 0.034 δ⊥−0

ρK∗

−3.93 ± 0.09 ± 0.07 −0.123 ± 0.085 ± 0.035 δ||−⊥

ωK∗

−3.4 ± 0.5 ± 0.7 0.84 ± 0.52 ± 0.16 δ||−0

ωK∗

−1.0 ± 0.4 ± 0.6 0.57 ± 0.41 ± 0.17 δ⊥−0

ωK∗

2.4 ± 0.5 ± 0.8 −0.28 ± 0.51 ± 0.24

Amplitude fit results

slide-35
SLIDE 35

Emilie Bertholet (LPNHE, Paris) eberthol@cern.ch 90th LHCb week December 2018 35

B0→ρ0K*(892)0

Comparison of the results with theory predictions δ||−0,⊥−0

VV

≡ (δ||,⊥

VV − δ0 VV)

}

Observable QCDF [?] pQCD [?] This work f 0

ρK∗

CP average 0.22+0.03+0.53

−0.03−0.14

0.65+0.03+0.03

−0.03−0.04

0.164 ± 0.015 ± 0.022 CP asymmetry −0.30+0.11+0.61

−0.11−0.49

0.0364+0.0120

−0.0107

−0.62 ± 0.09 ± 0.09 f ⊥

ρK∗

CP average 0.39+0.02+0.27

−0.02−0.07

0.169 +0.027

−0.018

0.401 ± 0.016 ± 0.037 CP asymmetry − −0.0771+0.0197

−0.0186

0.050 ± 0.039 ± 0.015 δ||−0

ρK∗

CP average [rad] −0.7 +0.1+1.1

−0.1−0.8

−1.61 +0.02

−3.06

−0.77 ± 0.09 ± 0.06 CP difference [rad] 0.30+0.09+0.38

−0.09−0.33

−0.001+0.017

−0.018

−0.109 ± 0.085 ± 0.034 δ||−⊥

ρK∗

CP average [rad] ≡ π 3.15 +0.02

−4.30

3.160 ± 0.035 ± 0.044 CP difference [rad] ≡ 0 −0.003+0.025

−0.024

0.014 ± 0.035 ± 0.026

slide-36
SLIDE 36

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 36

B±→π±K−K+

Inclusive CP asymmetries measured for 4 B→hhh modes by LHCb

arXiv:1408.5373

B± → K±K+K− B± → K±π+π− B± → π±π+π− B± → π±K+K−

Raw asymmetry in DP bins

Large localised CP asymmetries in these modes.

Better understanding of these effects requires amplitude analyses.

In the 1.0 GeV <mKK(ππ)< 1.5 GeV region

positive (negative) for ππ (KK)

⇒

⇒ Long distance ππ ↔ KK re-scattering?

In the mππ < 1.0GeV region

crosses 0 around ρ(770) mass Related to the real part of the long- distance interaction between S- and P- waves contributions to ππ? ⇒

slide-37
SLIDE 37

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch

Re-scattering function

Re-scattering region: 1.0 GeV <mKK< 1.5 GeV

where Asource has the same expression as the polar form factor.

accounts for the ππ ↔ KK transition amplitude.

37

NR: Polar form factor

Phenomenological description of the partonic interaction that produces the final state

where Λ accounts for the hard-momentum structure of the mesons (set to 1GeV/c2).

∝ 1 1 + (

mij Λ ) 2

Arescatt = Asource fscattering fsacttering = 1 − η2e2iδ

inelasticity phase shift

B±→π±K−K+

slide-38
SLIDE 38

Emilie Bertholet (LPNHE, Paris) eberthol@cern.ch 90th LHCb week December 2018 38

B±→π±K−K+

Projections on the high m2(πK) region Projections on the low m2(πK) region

slide-39
SLIDE 39

Emilie Bertholet (LPNHE, Paris) eberthol@cern.ch 90th LHCb week December 2018 39

Λb0, Ξb0→ phhh

control channels → cancel detection and production asymmetries (at first order).

ΔACP = Acharmless

CP

− Acontrol

CP

ACP integrated over the whole phase-space Low invariant-mass regions Quasi 2- or 3-body decay regions

slide-40
SLIDE 40

Emilie Bertholet (LPNHE, Paris) Morion EW 2019 eberthol@cern.ch 3

The LHCb detector

Single-arm forward spectrometer covering the pseudo-rapidity range 2<η<5 designed for the study of B and D mesons.

  • Int. J. Mod. Phys. A 30,

1530022 (2015)

Data sample

Run 1: 2011 (@ 7 TeV), 2012 (@ 8 TeV) Run 2: 2015 to 2018 (@ 13 TeV) ∫ ℒ = 3fb−1 ∫ ℒ ≈ 6fb−1

A few numbers

Δp/p ≈ 0.5% - 1% τ ≈ 45 fs

Very good PID efficiency: eg. εID(K) ≈ 95% Low misID rates: eg. εID(π→K) ≈ 5%