All Quiet on CP- violating front? * Dr. David Delepine Universidad - - PowerPoint PPT Presentation

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All Quiet on CP- violating front? * Dr. David Delepine Universidad - - PowerPoint PPT Presentation

All Quiet on CP- violating front? * Dr. David Delepine Universidad de Guanajuato (*) All quiet on the Western front written by Erich Maria Remarque Plan Generalities on CP Violation (CPV) CP violation in Standard Model:


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All Quiet on CP- violating front?*

  • Dr. David Delepine

Universidad de Guanajuato

(*) “All quiet on the Western front” written by Erich Maria Remarque

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Plan

  • Generalities on CP Violation (CPV)
  • CP violation in Standard Model:
  • Strong-T violation
  • CKM mixing matrix
  • PNMS mixing matrix : Maximal CP violation in neutrinos?
  • CP violation in Intensity frontier: D mesons case
  • CP violation in Cosmos Frontier: Baryogenesis as an

example

  • Conclusion
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  • B. McKellar,AIP Conf. Proc. 1657, 030001 (2015); doi: 10.1063/1.4915151

Ø In 1956, T.D. Lee and C.N.Yang proposed that weak interactions are not invariant under parity symmetry (Nobel Prize 1957) Ø In 1957 C.S.Wu proved it in the beta decay of polarized

60Co

Ø In 1964, Cronin, Fitch found evidence of CP violation in neutral K meson decay. (Nobel Prize 1980)

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Classification of CPV (I)

If CP is converved

Direct CPV Indirect CPV Interference CPV

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CP violation in mixing (Indirect CPV)

q Similar to semileptonic decays: q if which means

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CP violation in Decays (direct CPV)

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CPV in interference between decays with and without mixing.

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CPV in Standard Model (I)

u Strong T-violation:

θ = θ0 + argdet(MuM d)

Electric Dipole Moment of neutron

θ <10−10

General Yukawa coupling QCD Axial Anomaly

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CPV in Standard Model (II)

  • Yukawa couplings and CKM mixing matrix:

Lcc = g 2 u LVγ µdLW +

µ + d LV †γ µuLW − µ

( )

Condition to have CP violation in SM:

a) mui ≠ mu j, mdi ≠ md j (i ≠ j) b) J ≡ Im V

11V21 *V22V 12 *

( ) ≠ 0

Unitarity of the V matrix

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Cabibbo Kobayashi Maskawa (I)

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Cabibbo Kobayashi Maskawa (II)

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Future: Cabibbo Kobayashi Maskawa (I)

  • J. Charles et al., Phys.

Rev D 89, 033016 (2014)

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Future: Cabibbo Kobayashi Maskawa (II)

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PNMS mixing matrix (I):

  • E. Lisi, talk given at Moriond 2015 (March 2015)

Maximum CP violation seems to be favoured by T2K and Daya Bay results.

sinδ ∼ −1

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Bei-Zhen Hu, talk given at Moriond 2015

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Other observables: Observables sensitive to Majorana Phases

ΔL = 2

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CPV in D mesons (I):

  • D mesons decays can be classified as :
  • Cabibbo Favour Decays (CF):
  • no CPV within SM o extremely suppressed
  • Simple Cabibbo Suppressed (SCS):
  • CPV within SM of order 10-4
  • Doube Suppressed Cabibbo (DSC):
  • no CPV within SM o extremely suppressed

D0 → K +K −, π +π −

D0 → K −π +,D+ → K −π +π +

D0 → K +π −,D0 → K +π −π 0

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CPV in D mesons (II):

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CPV in Simple Cabibbo Suppressed (I)

D0 → K +K −, π +π −

slow mixing rate of charm mesons

LHCb, JHEP04(2015)043

AΓ(KK) = −0.35 ± 0.62 ± 0.12

( )×10

−3,

AΓ(ππ) = 0.33±1.06 ± 0.14

( )×10

−3

LHCb 2013

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CPV in Simple Cabibbo Suppressed (II)

aCP

ind = 0.058 ± 0.040

( )%

ΔaC P

dir = −0.257 ± 0.104

( )%

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CPV in Cabibbo Favour Decays (I)

D0 → K −π +, D+ → K −π +π +

CPV form SM induced by radiatives corrections:

CPV in SM <<< 1

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CPV in Cabibbo Favour Decays (II) :

  • Non-manifest Left- Rigth model: ACP up to 10%
  • Models with charged Higgs exchange:

CPV IN CF = SMOKING GUN FOR NEW PHYSICS

D.D, G. Faisel and C. Ramirez, Phys.Rev. D87 (2013) 7, 075017 NEW LHCb Results LHCb, JHEP04(2015)043

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CPV in Cabibbo Favour Decays (III) :

CP Asymmetry with a toy model where a weak phase is added to a2 amplitude D.D., G. Faisel, C. Ramirez, arXiv: 1409.3611 [hep-ph]

  • V. M. Abazov et al. [D0 Collaboration], Phys. Rev. D 90, no.

11, 111102 (2014)

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CPV in Cabibbo Favour Decays (IV) :

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CPV in Cabibbo Favour Decays (V) :

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Baryon Asymmetry of the Universe (I) Planck: 5.7 ×10−10 ≤ η ≤ 6.7 ×10−10

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Baryon Asymmetry of the Universe (II)

Antiproton cosmic ray flux as measured by AMS-02 and other experimental collaborations. The observed antiproton flux is consistent with secondary production that is due to collisions of baryons, leptons or photons in the interstellar medium

Rolf Kappl and Martin Wolfgang Winkler. The Cosmic Ray Antiproton

Background for AMS-02. JCAP, 1409(09):051, 2014.

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Baryon Asymmetry of the Universe (III)

Sakharov’s conditions (1967):

u to be out of thermal equilibrium u to have C and CP violation u to violate Baryon number

SM has B+L violations through sphalerons, has CP violation but Higgs mass too high to have a strong enough first order electroweak phase transition.

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Baryogenesis: beyond the SM (I)

  • Leptogenesis:

to produce an asymmetry in left-handed lepton at very high energy and to convert it into a baryon asymmetry through sphalerons processes.

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Baryogenesis: beyond the SM (II)

  • Supersymmetric models with light stops

Right handed top squark is lighter than the top quark

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Baryogenesis and Dark Matter

η ∼θCP

Baryogenesis ¡from ¡Strong ¡Viola2on ¡and ¡the ¡QCD ¡Axion, ¡Geraldine ¡Servant ¡ ¡ Phys.Rev.LeA. ¡113 ¡(2014) ¡17, ¡171803 ¡ ¡

Cold Electroweak baryogenesis scenario with candidate to Dark Matter

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Conclusions:

  • Possible maximal CP violation in neutrino sector
  • LHCb and B factories will strongly improved at short term our

experimental data on CPV

Strong constraints on New Physics Models

  • The Baryon Asymmetry of the Universe is the only

proof that we need CPV beyond Standard Models: Astro-particules Physics: the New Chalenge for CPV

  • New Scenarii for baryogenesis linked to Dark matter

problems.

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  • Thanks !