Higgs sector signatures of neutrino mass models Miha Nemev ek (IJS) - - PowerPoint PPT Presentation

Higgs sector signatures

• f neutrino mass models

Miha Nemevšek (IJS)

“Neutrinos at the High Energy Frontier” workshop

UMass, ACFI, July 18th 2017

Higgs ’64 Weinberg ’67

Mass origin

L number conserved Neutrinos massless

Ly = y f L h fR Γh→ff ∝ m2

f

mf = y v

Higgs era: discovery of mass origin

Particle mass [GeV]

1 −

10 1 10

2

10

v

V

m

V

κ

• r

v

F

m

F

κ

4 −

10

3 −

10

2 −

10

1 −

10 1 W t Z b µ τ

ATLAS+CMS SM Higgs boson ] fit ε [M, 68% CL 95% CL

Run 1 LHC CMS and ATLAS

ATLAS & CMS ’16 mass in GeV coupling

µ τ b W Z t

Neutrino Mass origin

Neutral fermions

mM νT Cν 0ν2β

Implication is LNV

Majorana ’37 Racah, Furry ’37

Lepton number violation searches

mesons nuclei

Higgs

top ...

energy

W, Z W 0, Z0

MeV GeV TeV 125 GeV

π, K, D, B

0ν2β

µ

eV

neutrinos

ν − ν

• sc.

LNV?

τ

Lepton number violation searches

W, Z π, K, D, B µ τ

mesons nuclei top ...

energy

W 0, Z0

MeV GeV TeV 125 GeV

0ν2β

eV

neutrinos

ν − ν

• sc.

Higgs

LNV

Majorana ’37 Racah, Furry ’37

EFT: no light states

Weinberg ’79

Λ v

Neutral fermions

0ν2β

colliders, mesons, Higgs

mν = ˜ y v2 Λ Γh→νν ∝ m2

ν

˜ y LHLH Λ

Implication of LNV

mM νT Cν

Higgs and Neutrino Mass origin

type III ruled out

Mν = −M T

D m−1 S MD

Γh→νS ∝ M 2

D

type I

Γh→SS ∝ M 2

D

✓MD mS ◆2

Ambiguous relation Fine-tuned, ‘inverse’ LNV mode forbidden

Pilaftsis ’91 Casas-Ibarra ’01 Dev, Franceschini, Mohapatra ’12 Cely, Ibarra, Molinaro, Petcov ’12 talk by Das Delphi ’91, CMS ’15

Higgs and Neutrino Mass origin

Pilaftsis ’91 Casas-Ibarra ’01

Mν = −M T

D m−1 S MD

Γh→νS ∝ M 2

D

Γh→SS ∝ M 2

D

✓MD mS ◆2

type I

Higgs and Neutrino Mass origin

Ambiguous relation Fine-tuned, ‘inverse’ LNV mode forbidden

Delphi ’91, CMS ’15 Dev, Franceschini, Mohapatra ’12 Cely, Ibarra, Molinaro, Petcov ’12 talk by Das

type III ruled out

Delphi ’91, CMS ’15 Pilaftsis ’91 Casas-Ibarra ’01 Dev, Franceschini, Mohapatra ’12 Cely, Ibarra, Molinaro, Petcov ’12

Mν = −M T

D m−1 S MD

Γh→νS ∝ M 2

D

Γh→SS ∝ M 2

D

✓MD mS ◆2

Ambiguous relation Fine-tuned, ‘inverse’ LNV mode forbidden

type I type III ruled out type II

no LNV

mν = Y∆vL Γh→νν ∝ m2

ν

v2

Higgs and Neutrino Mass origin

Neutrino Mass origin

Seesaw

Left-Right GUTs Horizontal symmetry

Minkowski ’77 Mohapatra, Senjanović ’79

SU(2)L × SU(2)R × U(1)B−L SO(10) SU(5)

Gell-Mann, Ramond, Slansky ’79 Glashow ’79

N ∈ 16F N ∈ LR ∆L ∈ 15H

Yanagida ’79

SU(n)F

Left-Right

Spontaneous parity breaking

∆L(3, 1, 2), Φ(2, 2, 0), ∆R(1, 3, 2) P : QL ↔ QR, LL ↔ LR ∆L ↔ ∆R, Φ → Φ†

{

Minimal model

Pati, Salam ’74 Mohapatra, Pati ’75 Senjanović, Mohapatra ’75 Minkowski ’77 Mohapatra, Senjanović ’79 talk by Rabi

Left-Right

Spontaneous parity breaking

∆L(3, 1, 2), Φ(2, 2, 0), ∆R(1, 3, 2) P : QL ↔ QR, LL ↔ LR ∆L ↔ ∆R, Φ → Φ†

{

hΦi = ✓ v ◆ h∆Ri = ✓ vR ◆ mixing: V ∈ λ (Φ†Φ)2 + α(Φ†Φ)(∆†

R∆R) + ρ (∆† R∆R)2

h − ∆ θ ' ✓ α 2 ρ ◆ ✓ v vR ◆ . .44

same for -symmetry C

Minimal model

Φ = ✓φ0

1

φ+

2

φ−

1

φ0

2

◆ ∆R = ✓∆+/ √ 2 ∆++ ∆0 −∆+/ √ 2 ◆

R

Pati, Salam ’74 Mohapatra, Pati ’75 Senjanović, Mohapatra ’75 Minkowski ’77 Mohapatra, Senjanović ’79

see appendix for φ0

2, ∆L, ∆++ R

talk by Rabi

talk by Rabi

Pati, Salam ’74 Mohapatra, Pati ’75 Senjanović, Mohapatra ’75

Spontaneous parity breaking

∆L(3, 1, 2), Φ(2, 2, 0), ∆R(1, 3, 2)

Minimal model

Left-Right

m∆ in GeV 2σ

300 400 500 600 700 800 900 1000 0.0 0.2 0.4 0.6 0.8

mH2@GeVD »sinΘ»

Falkowski, Gross, Lebedev ’15

50 100 150 200 250 0.0 0.2 0.4 0.6 0.8

mH2@GeVD »sinΘ»

| sin θ|

Future collider

• utlook

Buttazzo, Sala, Tesi ’15

| sin θ| < .34

e.g. Falkowski, Gross, Lebedev ’15

same for -symmetry C

Left-Right

Spontaneous parity breaking Minimal model

∆L(3, 1, 2), Φ(2, 2, 0), ∆R(1, 3, 2) P : QL ↔ QR, LL ↔ LR ∆L ↔ ∆R, Φ → Φ†

{

hΦi = ✓ v ◆ h∆Ri = ✓ vR ◆ mixing: V (∆L, Φ, ∆R) V ∈ λ (Φ†Φ)2 + α(Φ†Φ)(∆†

R∆R) + ρ (∆† R∆R)2

h − ∆

early

Beal, Bander, Soni ’82, ...

to

*barring strong CP MWR > 1.6 TeV MWR & 3 TeV * Maiezza, MN ’14 Zhang et al. ’07, Maiezza, MN, Nesti, Senjanović ’10 Bertolini, Nesti, Maiezza ’14 θ ' ✓ α 2 ρ ◆ ✓ v vR ◆ . .44

Indirect flavor limits

Pati, Salam ’74 Mohapatra, Pati ’75 Senjanović, Mohapatra ’75 Minkowski ’77 Mohapatra, Senjanović ’79

talk by Rabi

mN, mν

LN = Y∆ LT

R ∆R LR

Γ∆→NN ∝ mN

2

MN = Y∆ vR

mass in GeV coupling

WR ZLR N1 N2

‘Higgs‘ origin of Majorana neutrinos

Neutrino mass origin

X & Y Coll. 2???

‘Majorana’ Higgses

h, ∆

⇒

Γ∆→NN ∝ c2

θ mN 2

Γh→NN ∝ s2

θ mN 2

‘Majorana’ Higgses

∆ N N h N N mh = 125 GeV m∆ =?

Majorana connections

N ℓ± W ∓∗

R

j j

Neutrino mass origin LNV decays

h, ∆ N N ℓ±

j j j j

ℓ±

∆L = 0, 2

0ν2β

n n W p να e W e p VLeα VLeα n n WR p Nα e WR e p VReα VReα

mee

ν =

X

ν

VL

2mν

mee

N = p2 M 4 WL

MWR4 X

N

VR2 mN

Majorana LNV connections

Tello, MN, Nesti, Senjanović, Vissani ’10

lightest in eV in eV

|mee

ν |

in eV

|mN

ee|

Mohapatra, Senjanović ’79, ’80 Vissani ’99

Standard New physics

Tello, MN, Senjanović ’12

includes LFV and triplets Dirac mass predicted in LR

lightest in eV

mν mν talk by Rabi

Majorana LNV connections

LHC

p p WR eR N eR WR j j

ATLAS: Ferrari et al. ’00 CMS: Gninenko et al. ’07

no missing energy reach of 5-6 TeV at 14 TeV Measure directly

)

1.64` 2 3 4 1000 1500 2000 2500 3000 1 5 10 50 100 500 1000 MWR @GeVD MNe @GeVD

CMS

e + Missing Energy e + Displaced Vertex e + jetêEM activity tN~1 mm tN~5 m 0n2bHHML

D0: dijets

L=33.2pb-1

minv

eRjj = mN

MN, Nesti, Senjanović, Zhang ’10

missing E channel di-jet channel

ATLAS 1703.09127

MW 0 > 5.11 TeV

ATLAS CONF-2017-016

MW 0 > 4.7 TeV MN

Keung, Senjanović, ’83

talks by Rabi, Das

Neutrino jets

Mitra et al. ’16 MD = iMN p MN −1Mν

Unambiguous seesaw

MN, Senjanović, Tello ’12

Majorana LNV connections

LHC

p p WR eR N eR WR j j

ATLAS: Ferrari et al. ’00 CMS: Gninenko et al. ’07

no missing energy reach of 5-6 TeV at 14 TeV measure directly tag different flavors 6 channels / N

)

MN

1.64` 2 3 4 1000 1500 2000 2500 3000 1 5 10 50 100 500 1000 MWR @GeVD MNe @GeVD

CMS

e + Missing Energy e + Displaced Vertex e + jetêEM activity tN~1 mm tN~5 m 0n2bHHML

D0: dijets

L=33.2pb-1

minv

eRjj = mN

MN, Nesti, Senjanović, Zhang ’10

µ e

CMS PAS-EXO-12-017 CMS 1210.2402 ATLAS 1203.54203 CMS-EXO-16-023, 12.9 fb-1 (13 TeV) MWR,Nτ > 3.2 TeV CMS-EXO-16-023 e and mu CMS-EXO-16-016, 2.2 fb-1 (13 TeV)

MWR,Nτ > 2.3 TeV

Keung, Senjanović, ’83

X & Y Coll. 2??? mass in GeV coupling

WR ZLR N1 N2 N1 N2

mN < mh 2

10 20 30 40 50 60 0.5 1.0 5.0 10.0 mN in GeV G Hh Æ N NL G Ih Æ b bM â104

MWR = 3 TeV 30% 20% 10%

Gunion et al. Snowmass ’86 Graesser ’07

EFT SM+h+N Γh→NN ∝ s2

θ mN 2

Γh→NN Γh→bb ' θ2 3 ✓mN mb ◆2 ✓ MW MWR ◆2

‘Majorana’ SM Higgs

h N N

decays h

‘Right-handed’ Higgs

decays ∆

sθ = 5% 10%

to SM via mixing radiative loops

(SM, WR, ∆++

L,R)

Γ∆→γγ = m3

∆

64π ⇣ α 4π ⌘2 |F∆|2 Γ∆→ff = s2

θ Γh→ff (mh → m∆)

Displaced photons Dev, Mohapatra, Zhang ’16,

‘Right-handed’ Higgs

Region of interest for

20 GeV . m∆ . 170 GeV ∆ → NN

Decay length

cτ 0

N ' 0.1 mm

✓40 GeV mN ◆5 ✓ MWR 5 TeV ◆4

Leads to two DV with LNV

`± j j `± j DV

decays ∆

• resol. O(10) µm

‘Right-handed’ Higgs

single pair & associated

ˆ σgg→∆S ' c2

θ

64π(1 + δ∆S) ˆ s ⇣αs 4π ⌘2 v2

hS∆

(ˆ s m2

h)2 + ˆ

sΓ2

h

|Fb + Ft|2 p βˆ

s∆S

large rate for not very significant

σgg→∆∆ ' σgg→h Brh→∆∆ m∆ < mh/2

production ∆

(accidental cancellation)

Anastasiou et al. ’16

N3LO

σ(gg → ∆) = s2

θ σ(gg → h)

σ(pp → V ∆) = s2

θ σ(pp → V h)

Tri-linear Higgs couplings

20 50 100 200 500 1000 100 200 500 1000 2000 5000 mD in GeV doubly charged vi in GeV

h DR

++ DR

• D DR

++ DR

• D DR

++ DR

• -Hflip qL

20 50 100 200 500 1000 0.1 1 10 100 mD in GeV neutral vi in GeV

h h h h h D h D D D D D h D D Hflip qL

2 x 2 matrix, mixing suppressed by flavor and h∆Li

vhhh = 3g 2 m2

h

 c3

θ

MW − √ 2 s3

θ

MWR

• vhh∆ = g

4s2θ

• m2

∆ + 2m2 h

 cθ MW + √ 2 sθ MWR

• θ→0

− − − → 0 vh∆∆ = g 4s2θ

• m2

∆ + 2m2 h

 sθ MW − √ 2 cθ MWR

• θ→0

− − − → 0 v∆∆∆ = 3g 2 m2

∆

 s3

θ

MW + √ 2 c3

θ

MWR

• + corrections due

to H mixing cancellation

tree level

10.0 5.0 20.0 3.0 15.0 7.0 0.01 0.05 0.10 0.50 1.00 5.00 10.00 MWR in TeV neutral vi

H0+1L

mD

mD= 100 GeV

h h D h D D D D D

Tri-linear Higgs couplings

loop corrections, ~top in the hhh vertex of the SM

v(1)

hhh ' c(1)

✓ 1 + 17 3 1 r++ ◆ ✓ v vR ◆2 v v(1)

hh∆ ' c(1) 11

✓ v vR ◆ v v(1)

h∆∆ ' c(1) (4 + 10 r++) v

v(1)

∆∆∆ ' c(1)

8 + 16 r2

++

• vR

c(1) = 1 √ 2(4π)2 ✓mH vR ◆4 , r++ = ✓m∆++,∆0,+,++

L

mH ◆2

20 50 100 200 500 1000 10 20 50 100 200 500 1000 mD in GeV neutral vi

H0+1L in GeV

MWR= 4 TeV

h h h h h D h D D D D D

upper bound v(1)

∆∆∆ ≤

✓7 3 ◆ vtree level

∆∆∆

from vacuum stability Linde ’76, Weinberg ’76 Mohapatra ’86 Basecq, Wyler ’89 decouple with vR

mH = 17 TeV r++ = 0.3

pair & associated

ˆ σgg→∆S ' c2

θ

64π(1 + δ∆S) ˆ s ⇣αs 4π ⌘2 v2

hS∆

(ˆ s m2

h)2 + ˆ

sΓ2

h

|Fb + Ft|2 p βˆ

s∆S

σgg→∆∆ ' σgg→h Brh→∆∆ leads to

production ∆

pp → NNNN

suppressed ∆∗

Anastasiou et al. ’16

N3LO

σgg→h

20 50 100 200 500 0.1 1 10 100 mD in GeV sggÆDBrDÆNN in fb

10 13 16 20 25 32 40 50 63 80 100 126 159 200 sq

2 sggÆh

cq

2 GD

Gh sggÆh

s = 13 TeV MWR = 4 TeV sq = H5,10,20L%

∆ N N ℓ±

j j j j

ℓ±

10% 20% 5% sθ mN ∆L = 0, 2

single signals ∆

10 50 20 30 15 0.5 1.0 5.0 10.0 50.0 mD in GeV sggÆhBrhÆDDBrDÆNN

2

in fb

s = 13 TeV MWR = 11 TeV sq = H5,10,20L%

5 6 8 9 12 14 18 22 27

h ∆ ∆ N N N N

j j

ℓ±

1

j j

ℓ±

2

ℓ±

3

j j

ℓ±

4

j j

mN ∆L = 0, 2, 4

pair

10% 20% 5% sθ

signals ∆

LHC projections

(Higgs mediated LNV)

h N N ℓ±

j j j j

ℓ±

p p ∆L = 0, 2

}

mN

}

mh

no missing energy ggF production σgg→h ' 45 pb

Brh→NN ' 10−3 Γh→NN ∝ s2

θ mN 2

‘Majorana’ Higgses at LHC

WR WR

soft products

pT ' mh/6 ⇠ 20 GeV

small couplings, no tuning light jets only V q

L = V q R

Kiers et al. ’02, Zhang et al. ’07 Maiezza et al. ’10, Senjanović, Tello ’14

low background (LNV)

Anastasiou et al. ’14

N3LO

∆L0 : ∆L2 : ∆L4 = 3 : 4 : 1 ∆L = 0, 2, 4 ∆L = 0, 2

‘Majorana’ Higgses at LHC

similar to (same-sign) multi-leptons

h → NN

h ∆ ∆ N N N N

j j

ℓ±

1

j j

ℓ±

2

ℓ±

3

j j

ℓ±

4

j j

∆ N N ℓ±

j j j j

ℓ±

24 = 16 possibilities R#`

∆L ⇒ R2 2, R3 3, R4 2, R4 4

ggF of CP even scalar

Anastasiou et al. ’16

∆L = 0, 2, 4 ∆L = 0, 2

‘Majorana’ Higgses at LHC

h ∆ ∆ N N N N

j j

ℓ±

1

j j

ℓ±

2

ℓ±

3

j j

ℓ±

4

j j

∆ N N ℓ±

j j j j

ℓ±

adaptation

https://sites.google.com/site/leftrighthep/

LRSM Feyncalc

Roitgrund, Eilam, Bar-shalom 1401.3345

MadGraph5 Pythia6 Delphes3 MadAnalysis5

Detector simulation

Modified Delphes3 ATLAS card leptons jets

ATLAS-CONF-2016-024 1603.05598

electrons muons reconstruction efficiencies

pvarcone20

T

< 0.06(0.15) pvarcone30

T

< 0.06(0.15)

electrons muons tight (loose) isolation mono & di-lepton triggers

ATL-DAQ-PUB-2016-001

anti-kT

pj min

T

= 20 GeV ∆R = 0.4 nj = 1, 2, 3

missing energy

/ ET ' 15 GeV

fakes select

806 4 5 26 1241 87 147 16 1.5 2651 313 0.5 0.7 3 400 21 129 7 0.2 782 112 0.2 0.1 0.7 174 8.4 63 4 0.05 284 60 0.1 0.04 0.3 80 4 56 2 0.03 106 35 0.03 0.03 0.2 25 2 36 2 80 0.7 0.1 0.9 0.05 0.001 2

fakes select

670 4 6 32 750 133 68 16 2 1676 130 0.5 0.9 3.5 200 32 33 6 0.3 391 57 0.2 0.2 1 95 17 16 3 0.1 152 32 0.1 0.1 0.5 51 9 12 2 0.05 49 17 0.04 0.04 0.2 23 5 8 1 0.01 40 1.4 0.4 1 0.15 0.005 3

tt tt tth ttZ ttW WZ Wh ZZ Zh WWjj tth ttZ ttW WZ Wh ZZ Zh WWjj / ET pT mT minv / ET pT mT minv

all contain missing energy

• ne prompt, one displaced lepton

Backgrounds

lT e lT µ `±`± + nj

Selection

/ ET < 30 GeV / ET pT (`1) < 55 GeV mT

`/ pT < 30 GeV

pT mT minv m`` < 80 GeV m`/

pT < 60 GeV

lT ` lT ` > 0.1 mm

Selection criteria

0.0 0.2 0.4 0.6 0.8 1.0 0.0 0.5 1.0 1.5 Α dNêN

Wjjj ` ν` j j

conversion rate

εj→`(pT , η) pT ` = (1 − α)pT jet P(α) = 1 N e

(α−µ)2 2σ2

softened momentum

Curtin, Galloway, Wacker ’13 Izaguirre, Shuve, ’15

Backgrounds

jet fakes

prompt lepton + jets

`± + / ET + j + j + j

prompt + softer fake lepton + jets `± + `±

f + /

ET + j + j

j → `f

Backgrounds

jet fakes

200 400 600 800 1000 5 10 15 20 meejj in GeV Entries/20 GeV

e±e± channel High-mass

100 200 300 400 500 600 5 10 15 20 25 30 me2 jj in GeV Entries/20 GeV

e±e± channel High-mass

50 100150200250300350400 5 10 15 20 Leading lepton pT in GeV Entries/10 GeV

e±e± channel High-mass

200 400 600 800 1000 2 4 6 8 10 12 mμμjj in GeV Entries/20 GeV

μ±μ± channel High-mass

100 200 300 400 500 600 2 4 6 8 10 12 14 mμ2 jj in GeV Entries/20 GeV

μ±μ± channel High-mass

50 100 150 200 250 300 5 10 15 Leading lepton pT in GeV Entries/10 GeV

μ±μ± channel High-mass

100 150 200 250 300 350 400 2 4 6 8 10 meejj in GeV Entries/20 GeV

e±e± channel Low-mass

100 200 300 400 2 4 6 8 10 12 me2 jj in GeV Entries/20 GeV

e±e± channel Low-mass

20 40 60 80 100 120 2 4 6 8 10 12 14 Leading lepton pT in GeV Entries/10 GeV

e±e± channel Low-mass

50 100 150 200 250 2 4 6 8 10 12 Entries/10 GeV

μ±μ± channel Low-mass

100 200 300 400 500 2 4 6 8 10 12

μμ

Entries/20 GeV

μ±μ± channel Low-mass

100 200 300 400 2 4 6 8 10 12

μ

Entries/20 GeV

μ±μ± channel Low-mass

tt + j + jj Wjjj jjjj V V + j + jj

data from CMS mumu 1501.05566 ee, emu 1603.02248

α = 0.75 σ = 0.25 ε(j → e) = 5 × 10−4 ε(j → µ) = 3 × 10−4

*overestimated for Q mis-id *

fakes select

806 4 5 26 1241 87 147 16 1.5 2651 313 0.5 0.7 3 400 21 129 7 0.2 782 112 0.2 0.1 0.7 174 8.4 63 4 0.05 284 60 0.1 0.04 0.3 80 4 56 2 0.03 106 35 0.03 0.03 0.2 25 2 36 2 80 0.7 0.1 0.9 0.05 0.001 2

fakes select

670 4 6 32 750 133 68 16 2 1676 130 0.5 0.9 3.5 200 32 33 6 0.3 391 57 0.2 0.2 1 95 17 16 3 0.1 152 32 0.1 0.1 0.5 51 9 12 2 0.05 49 17 0.04 0.04 0.2 23 5 8 1 0.01 40 1.4 0.4 1 0.15 0.005 3

tt tt tth ttZ ttW WZ Wh ZZ Zh WWjj tth ttZ ttW WZ Wh ZZ Zh WWjj / ET pT mT minv / ET pT mT minv

all contain missing energy

`±`± + nj

• ne prompt, one displaced lepton

Backgrounds

lT e lT µ

Signal features

characteristic mass peaks displaced angular separation soft leptons

Sensitivity

1.5 2 3 5 7 10 15 20 10 15 20 30 40 50 60 70 MWR in TeV mN in GeV

n 2 b {{ j j j j

1cm 10 cm 1m

W'Æ {n search 5s 3s 2s s = 13 TeV L = 100 fb-1

s i n q = 1 % sinq = 40%

10 20 30 40 50 0. 0.1 0.2 0.3 MWR =10TeV MWR =3TeV

mN sin q

5s 3s 2s

h → NN

Maiezza, MN, Nesti ’14

Sensitivity

h → ∆∆ → NNNN

electrons muons SM background ~zero (ttZ, tth, WZZ, V V V V, tttt, V V tt)

@ 3σ, sθ = 0.2

bit less feasible backgrounds

• ptimal

spectacular ∆L = 4

}

∆L ' 3 geometric & kinematic acceptance

Sensitivity

h → ∆∆ → NNNN

displaced 0.01 mm - >1m discovery reach beyond direct searches connection to 0ν2β Combined h → NN

∆ → NN ∆∆ → NNNN

GERDA, Neutrino ’16 KamLAND-Zen ’16

Leptonic colliders

Leptonic colliders

Dominant production modes

e+e− → Zh, Z∆ e+e− → ννh, νν∆ ps ' 500 GeV

LEP LEP low energy and luminosity

Leptonic colliders

Dominant production modes

e+e− → Zh, Z∆ e+e− → ννh, νν∆ ps ' 500 GeV

ILC, CLIC, CEPC, FCC-ee, ? high energy and/or luminosity no triggers, good energy resolution low pT

LNV Higgs candidates

Spontaneous B-L

SU(2)L × U(1)R × U(1)B−L

Graesser ’07 Caputo, Hernandez, Lopez-Pavon ’17

EFT from SM + h + N SM + h + N + singlet scalar

Shoemaker, Petraki, Kusenko ’10

RPV Susy

Banks, Carpenter Fortin ’08

h → ν4ν4

Pilaftsis ’92 Carpenter ’11 LNV disfavored needs post-LHC revision

• ther

m˜

l ' m˜ ν

No-go for vanilla see-saw(s) Fourth generation

Summary

Improvements LFV and tau final states, displaced em-jets, include ∆L = 0 improved detector simulation, vertexing, sophisticated searches (MVA, BDT), backgrounds from data leptonic colliders promising Conclusions Higgs sectors are a new frontier for neutrino mass models Sensitive probe of the origin of neutrino mass within LRSM No-go for vanilla see-saw(s)

Thank you

Appendix slides

100 50 200 30 150 70 0.001 0.005 0.010 0.050 0.100 0.500 1.000 mD in GeV sppÆWR D in fb

3 TeV 4 TeV 5 TeV WR ∆ WR N N N

j j

ℓ±

1

j j

ℓ±

2

j j

ℓ±

3

ℓ±

4

WR ∆ WR N N

j j

ℓ±

1

j j

ℓ±

2

j j

∆L = 0, 2, 4 ∆L = 0, 2

strahlung, fusion small production ∆

WR

no mixing required higher

Br(∆ → NN) = O(1) m∆

3DV, trigger, no bckg 2DV, boost

13 14

√s in TeV

MWR = 3, 4, 5 TeV

Neutrino Mass at LHC

Keung, Senjanović ’83

LNV @ hadron colliders Unambiguous seesaw

MN, Senjanović, Tello ’12

}

MD = iMN p MN −1Mν

minv

`jj = mN

flavor measures , VR MN = V T

R mNVR

MN, Nesti, Senjanović, Zhang ’11

1.64` 2 3 4 1000 1500 2000 2500 3000 1 5 10 50 100 500 1000 MWR @GeVD MNe @GeVD

CMS

e + Missing Energy e + Displaced Vertex e + jetêEM activity tN~1 mm tN~5 m 0n2bHHML

D0: dijets

L=33.2pb-1

in TeV in TeV mN MWR

Neutrino Mass at LHC

LNV @ hadron colliders

}

MD = iMN p MN −1Mν

minv

`jj = mN

flavor measures , VR MN = V T

R mNVR

Low energies: , eEDM, LFV 0ν2β

Tello, MN, Nesti, Senjanović, Vissani ’10

lightest in eV mν lightest in eV mν in eV |mee

ν |

in eV |mN

ee|

MWR = 3.5 TeV mN = .5 TeV

1.64` 2 3 4 1000 1500 2000 2500 3000 1 5 10 50 100 500 1000 MWR @GeVD MNe @GeVD

CMS

e + Missing Energy e + Displaced Vertex e + jetêEM activity tN~1 mm tN~5 m 0n2bHHML

D0: dijets

L=33.2pb-1

in TeV in TeV mN MWR Mohapatra, Senjanović ’79, ’80

Unambiguous seesaw

Keung, Senjanović ’83 MN, Senjanović, Tello ’12 MN, Nesti, Senjanović, Zhang ’11

Tello, MN, Nesti, Senjanović, Vissani ’10 Mohapatra, Senjanović ’79, ’80 Keung, Senjanović ’83 MN, Senjanović, Tello ’12

Neutrino Mass at LHC

LNV @ hadron colliders

}

MD = iMN p MN −1Mν flavor measures , VR

minv

`jj = mN

MN = V T

R mNVR

lightest in eV in eV in eV mν lightest in eV mν |mee

ν |

|mN

ee|

MWR = 3.5 TeV mN = .5 TeV

[TeV]

R

W

M

1 1.5 2 2.5 3

[TeV]

e N

M

0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4

R W

> M

e N

M

(8 TeV)

• 1

19.7 fb

CMS

Observed Expected

in TeV in TeV

mN MWR Unambiguous seesaw Low energies: , eEDM, LFV 0ν2β

Majorana vs. Dirac

SM a predictive theory of charged fermion mass origin

unique

Type I/III seesaw

Lν = MD νL h N + MN NN + h.c. LD = mf v f L h fR Γh→ff ∝ mf

2

Mν = −M T

Dm−1 N MD = −

⇣ m−1/2

N

MD ⌘T ⇣ m−1/2

N

MD | {z }

O×S

⌘ fixed cancels out S = i p Mν O MD = i√mN O p Mν ambiguous, possibly large

mass in GeV

µ τ b

W Z t

coupling

not predictive...

Majorana vs. Dirac

Left-Right

LW = g √ 2`R / W

− RVRN

gauge interaction defines the basis MN = V T

R mNVR

LR symmetry constrains the Dirac mass MD = M T

D

MD = iMN q M −1

N Mν

seesaw gives

104 0.001 0.01 0.1 1 104 0.001 0.01 0.1 1 lightest neutrino mass in eV de in 1027

e cm normal ⇤LR⇥104, vL⇥0

MN, Senjanović, Tello ’12

10 20 50 100 200 500 1000 10-6 10-5 10-4 0.001 0.01 mN in GeV BR of N

N Æ {± WL

°

N Æ n Z N Æn h MWR=6 TeV MWR=3 TeV

e E D M LHC

1.5 2 3 5 7 10 15 20 10 15 20 30 40 50 60 70 MWR in TeV mN in GeV

0n2b {{ j j j j

1cm 10 cm 1m

W'Æ {n search 5s 3s 2s s = 13 TeV L = 100 fb-1

sinq = 10% sinq = 40%

10 20 30 40 50 0. 0.1 0.2 0.3 MWR =10TeV MWR =3TeV

mN sin q

5s 3s 2s

KS search

CMS 1407.3683

dijet search

CMS 1501.04198

GERDA I & II

GERDA I 1307.4720

search

CMS 1408.2745

/ E

*

* NME uncertainty

small mixing large mixing decay length ``jj = jj = 0ν2β = W 0 → `⌫ =

H

Φ ' ✓ h H+ χ− H + IA ◆ Tree-level FCNCs All couplings computable with and m2

H,A,H+ ' α3v2 R

Senjanović, Senjanović ’80, ...

+ H, A, H+ q q q0 q0 WR WL P C scalar scattering unitarity

Maiezza, MN, Nesti ’16 Maiezza, MN, Nesti, Senjanović ’10 Senjanović, Tello ’14

light requires large WR α3 (conservative) perturbativity Veff V ∈ α3 ⇣ Φ†Φ ⌘⇣ ∆†

R∆R

⌘

m2

∆++

L

− m2

∆+

L

M 2

W

= m2

∆+

L − m2

∆0

L

M 2

W

= ✓ mH MWR ◆2 > 0

• blique parameters

lightest, missing energy at LHC ∆0

L

cascades dominate for large mass splittings

Melfo, MN, Nesti, Senjanović, Zhang ’11

partial cancellation with decouple with competes with direct searches sθ

Colliders

m∆L

S & T

∆L

Maiezza, MN, Nesti ’16

m2

∆++

R

= 4 ρ2 v2

R + α3 v2

partial cancellation with decouples with competes with direct searches vR sθ tree-level stability ρ2 > 0

h ∆++

R , . . .

γ γ, Z

data from CMS, ATLAS γγ γZ correlated, subdominant

∆++

R

Maiezza, MN, Nesti ’16

V h → γγ, γZ