-Decay & Colliders I M.J. Ramsey-Musolf U Mass Amherst - - PowerPoint PPT Presentation

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TeV Scale LNV: 0 -Decay & Colliders I M.J. Ramsey-Musolf U Mass Amherst http://www.physics.umass.edu/acfi/ Collaborators: Tao Peng, Peter Winslow; V. Cirigliano, M. Graesser, M. Horoi, P. Vogel ACFI Neutrino Workshop July 2017

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1

TeV Scale LNV: 0νβ νββ-Decay & Colliders I

ACFI Neutrino Workshop July 2017

M.J. Ramsey-Musolf

U Mass Amherst

http://www.physics.umass.edu/acfi/

Collaborators: Tao Peng, Peter Winslow; V. Cirigliano, M. Graesser, M. Horoi, P. Vogel

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This talk: beyond the “poster child”

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3

This talk: beyond the “poster child”

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4

Themes for This Talk

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Low-Energy / High-Energy Interplay

Discovery “Diagnostic” Low energy High energy

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Low-Energy / High-Energy Interplay

Discovery “Diagnostic” Low energy High energy

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7

Low-Energy / High-Energy Interplay

Discovery “Diagnostic” Low energy High energy

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SLIDE 8

8

Low-Energy / High-Energy Interplay

Discovery “Diagnostic” Low energy High energy

?

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SLIDE 9

9

0νβ νββ-Decay: LNV? Mass Term?

e− e−

A Z,N

( )

A Z − 2,N + 2

( )

Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

36

LNV Physics

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SLIDE 10

10

0νβ νββ-Decay: LNV? Mass Term?

e− e−

A Z,N

( )

A Z − 2,N + 2

( )

Impact of observation

Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

36

  • Total lepton number not

conserved at classical level

  • New mass scale in nature, Λ
  • Key ingredient for standard

baryogenesis via leptogenesis

LNV Physics

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SLIDE 11

11

Ton Scale Experiments

  • J. Wilkerson INT DBD Program June 2017
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SLIDE 12

12

0νβ νββ-Decay: LNV? Mass Term?

e− e−

A Z,N

( )

A Z − 2,N + 2

( )

Impact of observation

Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

12

  • Total lepton number not

conserved at classical level

  • New mass scale in nature, Λ
  • Key ingredient for standard

baryogenesis via leptogenesis

LNV Physics What’s inside ?

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SLIDE 13

LNV: Discoverable at the Energy Frontier

CMS ATLAS

LHC International Linear Collider Future Circular e+e- & pp Future Circular e+e- & pp

Thanks: S. Gascon- Shotkin 13

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SLIDE 14

14

Outline

I. The “Standard Mechanism”: High Scale LNV

  • II. TeV Scale LNV
  • III. Simplified Models: Connecting DBD &

Colliders

  • IV. Summary
  • V. Sub Weak Scale LNV (back up)
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15

  • I. “St’d Mechanism”: High Scale LNV
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SLIDE 16

16

LNV Mass Scale & 0νβ νββ-Decay

A(Z,N) ! ! A(Z+2, N-2) + e- e-

Underlying Physics

  • 3 light neutrinos only: source of neutrino

mass at the very high see-saw scale

  • 3 light neutrinos with TeV scale source of

neutrino mass

  • > 3 light neutrinos
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17

LNV Mass Scale & 0νβ νββ-Decay

A(Z,N) ! ! A(Z+2, N-2) + e- e-

Underlying Physics

  • 3 light neutrinos only: source of neutrino

mass at the very high see-saw scale

  • 3 light neutrinos with TeV scale source of

neutrino mass

  • > 3 light neutrinos
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18

0νβ νββ-Decay: LNV? Mass Term?

e− e− ν M

W − W − A Z,N

( )

A Z − 2,N + 2

( )

“Standard” Mechanism

Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

18

  • Light Majorana mass generated

at the conventional see-saw scale: Λ ~ 1012 – 1015 GeV

  • 3 light Majorana neutrinos

mediate decay process

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19

High Scale LNV

Three active light neutrinos

Effective DBD neutrino mass (eV)

Inverted Normal

Current generation Current generation Ton Scale Lightest neutrino mass (eV) !

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20

Details

See F. Deppisch talk….

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21

  • II. TeV Scale LNV
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22

LNV Mass Scale & 0νβ νββ-Decay

A(Z,N) ! ! A(Z+2, N-2) + e- e-

Underlying Physics

  • 3 light neutrinos only: source of neutrino

mass at the very high see-saw scale

  • 3 light neutrinos with TeV scale source of

neutrino mass

  • > 3 light neutrinos

Two parameters: Effective coupling & effective heavy particle mass

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23

0νβ νββ-Decay: LNV? Mass Term?

e− e−

A Z,N

( )

A Z − 2,N + 2

( )

TeV LNV Mechanism

Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

23

F S S

  • Majorana mass generated at

the TeV scale

  • Low-scale see-saw
  • Radiative mν
  • mMIN << 0.01 eV but 0νββ-signal

accessible with tonne-scale exp’ts due to heavy Majorana particle exchange

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SLIDE 24

TeV LNV & Leptogenesis

Energy Scale (GeV) 1012 10 3 10 2 10-1

Standard thermal lepto Fast ΔL = 2 int: erase L

24 Deppisch et al ‘14, ‘15

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TeV LNV & Leptogenesis

Energy Scale (GeV) 1012 10 3 10 2 10-1

Standard thermal lepto Electroweak, resonant lepto, WIMPY baryo, ARS lepto… Post-sphaleron, cold…

Baryogenesis alternatives

25

Fast ΔL = 2 int: erase L

Deppisch et al ‘14, ‘15

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SLIDE 26

0νβ νββ-Decay: TeV Scale LNV

General Classification: Helo et al, PRD 88.011901, 88.073011 Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

26

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SLIDE 27

0νβ νββ-Decay: TeV Scale LNV

General Classification: Helo et al, PRD 88.011901, 88.073011 Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

27

SUSY: R Parity-Violation

Sfermion Gaugino q , l ~ ~ g , χ ~

u u d d e e

V ~ F ~ F ~ Majorana

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SLIDE 28

0νβ νββ-Decay: TeV Scale LNV

General Classification: Helo et al, PRD 88.011901, 88.073011 Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

28

LRSM: Low-scale See-Saw

WR WR NR e e

Mass: standard see-saw but TeV scale + many other diagrams

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SLIDE 29

0νβ νββ-Decay: TeV Scale LNV

LHC Production & 0νββ-Decay Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

29

Helo et al, PRD 88.011901, 88.073011

76Ge τ (0ν)

LHC exclusion

LHC: SS Dilepton + Dijet

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30

  • III. Simplified Models

LNV Dog Race

MRM

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0νβ νββ-Decay: TeV Scale LNV

d d u u e− e− F 0 S+ S+

LHC: pp ! jj e-e-

d d u e− e− u

0νββ - decay Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

TeV Scale LNV

Can it be discovered with combination of 0νβ νββ & LHC searches ?

31

Simplified models

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32

Simplified Models: Illustrative Case

  • General considerations for collider - 0νβ

νββ decay interface

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SLIDE 33

33

Simplified Models: Illustrative Case

S: (1, 2, ½) F: (1, 0, 0) Majorana

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SLIDE 34

0νβ νββ-Decay: TeV Scale LNV

Helo et al claim: Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

  • Fig. 11

MeffðSÞ ¼ ðm4

Smc Þ1=5;

g

; geffðSÞ ¼ ðg1g2Þ1=2:

34

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SLIDE 35

0νβ νββ-Decay: TeV Scale LNV

Helo et al claim: Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

  • Fig. 11

MeffðSÞ ¼ ðm4

Smc Þ1=5;

g

; geffðSÞ ¼ ðg1g2Þ1=2:

EXO exclusion Future Xe: T1/2 > 1027 yr 35

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SLIDE 36

0νβ νββ-Decay: TeV Scale LNV

Helo et al claim: Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

LHC: pp ! jj e-e-

  • Fig. 11

MeffðSÞ ¼ ðm4

Smc Þ1=5;

g

; geffðSÞ ¼ ðg1g2Þ1=2:

EXO exclusion Future Xe: T1/2 > 1027 yr 300 fb-1 : < 3 events 36

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SLIDE 37

0νβ νββ-Decay: TeV Scale LNV

d d u u e− e− F 0 S+ S+

LHC: pp ! jj e-e-

d d u e− e− u

0νββ - decay Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

TeV Scale LNV

Comparing 0νββ & LHC sensitivities (our work):

  • LHC backgrounds
  • Running effective op’s to low

energy

  • Matching onto hadronic d.o.f.
  • Long range NME

contributions

37

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SLIDE 38

0νβ νββ-Decay: TeV Scale LNV

Backgrounds: Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

  • Charge flip
  • Jet faking electron

38

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SLIDE 39

0νβ νββ-Decay: TeV Scale LNV

Backgrounds: Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

  • Charge flip
  • Jet faking electron

e+ e+ e- Z e+ transfers most of pT to conversion e- ; Z / γ* + jets ! apparent e- e- jj event e- g g

39

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SLIDE 40

0νβ νββ-Decay: TeV Scale LNV

Backgrounds: Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

Bin in η and apply charge flip prob

40

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SLIDE 41

0νβ νββ-Decay: TeV Scale LNV

Backgrounds: Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

Jet fakes (e.g., π+ looks like e+ )

41

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SLIDE 42

0νβ νββ-Decay: TeV Scale LNV

Backgrounds: Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

Cuts

42

  • HT
  • MET
  • Mll

41

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SLIDE 43

0νβ νββ-Decay: TeV Scale LNV

Backgrounds: Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

Cuts

43

  • T. Peng, MRM, P. Winslow 1508.04444
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SLIDE 44

0νβ νββ-Decay: TeV Scale LNV

Low energy: Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

Matching

44

d d u u e− e− F 0 S+ S+

d d u e− e− u Match onto Oeff at ΛBSM

0νββ-decay as fu g geff = C1(Λ)1/4 . We use a prospec

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SLIDE 45

0νβ νββ-Decay: TeV Scale LNV

Low energy: Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

Running

45

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SLIDE 46

0νβ νββ-Decay: TeV Scale LNV

Low energy: Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

QCD Running

46

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SLIDE 47

0νβ νββ-Decay: TeV Scale LNV

Low energy: Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

QCD Running Assuming Ck = 1 at µ = 5 GeV ! Effective DBD amplitude for O1 substantially weaker for given LHC constraints

47

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SLIDE 48

0νβ νββ-Decay: TeV Scale LNV

Low energy: Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

Nuclear Matrix Elements: Long Range Effects Exploit Chiral Symmetry & EFT ideas

48

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SLIDE 49

0νβ νββ-Decay: TeV Scale LNV

Low energy: Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

Nuclear Matrix Elements: Long Range Effects Exploit Chiral Symmetry & EFT ideas

49

Helo et al Our work

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SLIDE 50

0ν ββ - decay in effective field theory

N N π π e− e− N N π e− e− N N e− e−

Tractable nuclear operators Systematic operator classification

50

Prezeau, MJRM, Vogel PRD 68 (2003) 034016

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SLIDE 51

0ν ββ - decay in effective field theory

Operator classification

L(q,e) = GF

2

Λββ C j(µ) ˆ O

j ++ e

Γjec + h.c.

j=1 14

∑

ˆ O

1+ ab = q Lγ µτ aqL q Rγµτ bqR

e.g. 0ν ββ - decay: a = b = +

51

Prezeau, MJRM, Vogel PRD 68 (2003) 034016

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SLIDE 52

0ν ββ - decay in effective field theory

Operator classification

52

Prezeau, MJRM, Vogel PRD 68 (2003) 034016

Match onto hadronic

  • perators using chiral

transformation properties

See also M. Graesser 1606.04549

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SLIDE 53

0ν ββ - decay in effective field theory

N N π π e− e− N N π e− e− N N e− e−

KNNNN p0 KπNN p−1 Kππ p−2

53

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SLIDE 54

0ν ββ - decay in effective field theory

N N π π e− e− N N π e− e− N N e− e−

KNNNN p0 KπNN p−1 Kππ p−2

O (p-2) for O (p0) for

ˆ O

1+ ++

ˆ O

3+ ++

54

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SLIDE 55

0ν ββ - decay in effective field theory

N N π π e− e− N N π e− e− N N e− e−

KNNNN p0 KπNN p−1 Kππ p−2

O (p-2) for O (p0) for

ˆ O

1+ ++

ˆ O

3+ ++

55

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SLIDE 56

0ν ββ - decay in effective field theory

N N π π e− e− N N π e− e− N N e− e−

KNNNN p0 KπNN p−1 Kππ p−2

O (p-2) for O (p0) for

ˆ O

1+ ++

ˆ O

3+ ++

56 Illustrative model, RPV SUSY LRSM, No WL-WR mixing LRSM, WL-WR mixing

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SLIDE 57

0ν ββ - decay in effective field theory

N N π π e− e− N N π e− e− N N e− e−

KNNNN p0 KπNN p−1 Kππ p−2

O (p-2) for O (p0) for

ˆ O

1+ ++

ˆ O

3+ ++

57

Hadronic matrix elements: M. Graesser talk

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SLIDE 58

58

Rate

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SLIDE 59

59

Rate

Hadronic matrix element Nuclear matrix element Phase space

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SLIDE 60

60

Putting Pieces Together

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SLIDE 61

61

0νβ νββ-Decay: TeV Scale LNV

e− e−

A Z,N

( )

A Z − 2,N + 2

( )

Benchmark Sensitivity: TeV LNV Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

60

F S S

  • T. Peng, MRM, P. Winslow 1508.04444

Present Tonne scale

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SLIDE 62

62

0νβ νββ-Decay: TeV Scale LNV

e− e−

A Z,N

( )

A Z − 2,N + 2

( )

Benchmark Sensitivity: TeV LNV Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

61

F S S

  • T. Peng, MRM, P. Winslow 1508.04444

Present Tonne scale Nuc & had matrix elements

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SLIDE 63

63

0νβ νββ-Decay: TeV Scale LNV

e− e−

A Z,N

( )

A Z − 2,N + 2

( )

Benchmark Sensitivity: TeV LNV Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

62

F S S

  • T. Peng, MRM, P. Winslow 1508.04444

Present Tonne scale LHC: ee jj

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SLIDE 64

64

0νβ νββ-Decay: TeV Scale LNV

e− e−

A Z,N

( )

A Z − 2,N + 2

( )

Benchmark Sensitivity: TeV LNV Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

63

F S S

  • T. Peng, MRM, P. Winslow 1508.04444

Present Tonne scale

~2018 >2024

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SLIDE 65

0νβ νββ-Decay: TeV Scale LNV & mν

Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

Implications for mν :

Controls mν

Schecter-Valle: non-vanishing Majorana mass at (multi) loop level Simplified model: possible (larger) one loop Majorana mass

65

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SLIDE 66

0νβ νββ-Decay: TeV Scale LNV & mν

Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

Implications for mν :

66

Signal mν (loop)

Ton Scale A hypothetical scenario

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SLIDE 67

67

0νβ νββ / LHC Interplay: Matrix Elements

e− e−

A Z,N

( )

A Z − 2,N + 2

( )

Benchmark Sensitivity: TeV LNV Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

66

F S S

  • T. Peng, MRM, P. Winslow 1508.04444

Assume GERDA present limit & different Nuc/Had MEs

slide-68
SLIDE 68

68

0νβ νββ / LHC Interplay: Matrix Elements

e− e−

A Z,N

( )

A Z − 2,N + 2

( )

Benchmark Sensitivity: TeV LNV Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

67

F S S

  • T. Peng, MRM, P. Winslow 1508.04444

Assume GERDA present limit & different Nuc/Had MEs

C h a l l e n g e

slide-69
SLIDE 69

69

LNV: pp at 100 TeV

Cut based analysis Machine learning

  • M. Graesser, T. Peng,

MJRM, P. Winslow in prog…

P r e l i m i n a r y

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SLIDE 70

70

  • V. Summary
  • LNV interactions responsible for mν may live at any

scale from the conventional see-saw scale to the sub-GeV scale

  • TeV scale LNV is theoretically well-motivated and

would have important implications for baryogenesis if it exists

  • 0νβ

νββ-decay and collider searches provide complementary probes of this scenario

  • Fully exploiting this inter-frontier interface requires

careful analysis of backgrounds, running, matching, and nuclear physics dynamics

slide-71
SLIDE 71

71

Back Up Slides

slide-72
SLIDE 72

72

  • IV. Sub Weak Scale LNV
slide-73
SLIDE 73

73

LNV Mass Scale & 0νβ νββ-Decay

A(Z,N) ! ! A(Z+2, N-2) + e- e-

Underlying Physics

  • 3 light neutrinos only: source of neutrino

mass at the very high see-saw scale

  • 3 light neutrinos with TeV scale source of

neutrino mass

  • > 3 light neutrinos
slide-74
SLIDE 74

74

LNV Mass Scale & 0νβ νββ-Decay

Effective DBD neutrino mass (eV) ! Lightest neutrino mass (eV) !

3 light ν’s 3 + 1 light ν’s 3 light ν’s 3 + 1 light ν’s

Ton Scale

slide-75
SLIDE 75

Sub Weak Scale LNV

75

  • P. Mermod

Mixing UαN

  • E. Izzaguire & B. Shuve
slide-76
SLIDE 76

Sub Weak Scale LNV

76

  • P. Mermod

Mixing UαN

  • E. Izzaguire & B. Shuve

BAU from Leptogenesis

  • Drewes et al ‘16
  • Lower bound < 10-10
slide-77
SLIDE 77

Sub Weak Scale LNV

77

  • P. Mermod
  • E. Izzaguire & B. Shuve

Mixing UαN

Excluded See also: Helo, Kovalenko & Hirsch

slide-78
SLIDE 78

Sub Weak Scale LNV

78

  • P. Mermod

Mixing UαN

  • Displaced LJ + µ
  • 3 resolved prompt leptons
  • E. Izzaguire & B. Shuve

Excluded

slide-79
SLIDE 79

Displaced Lepton Jets

79 ATLAS JHEP11 (2014) 88

  • H. Russell, CERN LLP

workshop, April 17

slide-80
SLIDE 80

Displaced Lepton Jets

80 ATLAS JHEP11 (2014) 88

  • H. Russell, CERN LLP

workshop, April 17

slide-81
SLIDE 81

81

Models

slide-82
SLIDE 82

0νβ νββ-Decay: TeV Scale LNV

General Classification: Helo et al, PRD 88.011901, 88.073011 Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

82

slide-83
SLIDE 83

0νβ νββ-Decay: TeV Scale LNV

General Classification: Helo et al, PRD 88.011901, 88.073011 Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

83

SUSY: R Parity-Violation

Sfermion Gaugino q , l ~ ~ g , χ ~

u u d d e e

V ~ F ~ F ~ Majorana

slide-84
SLIDE 84

0νβ νββ-Decay: TeV Scale LNV

General Classification: Helo et al, PRD 88.011901, 88.073011 Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

84

SUSY: R Parity-Violation

Sfermion Gaugino q , l ~ ~ g , χ ~

u u d d e e

V ~ F ~ F ~ Majorana

LNV

slide-85
SLIDE 85

0νβ νββ-Decay: TeV Scale LNV

General Classification: Helo et al, PRD 88.011901, 88.073011 Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

85

SUSY: R Parity-Violation

u u d d e e

V ~ F ~ F ~

LNV

slide-86
SLIDE 86

0νβ νββ-Decay: TeV Scale LNV

General Classification: Helo et al, PRD 88.011901, 88.073011 Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

86

SUSY: R Parity-Violation

u u d d e e

V ~ F ~ F ~

LNV

slide-87
SLIDE 87

0νβ νββ-Decay: TeV Scale LNV

General Classification: Helo et al, PRD 88.011901, 88.073011 Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

87

SUSY: R Parity-Violation

u u d d e e

V ~ F ~ F ~

LNV

slide-88
SLIDE 88

0νβ νββ-Decay: TeV Scale LNV

General Classification: Helo et al, PRD 88.011901, 88.073011 Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

88

LRSM: Type I See-Saw

WR WR NR e e

Mass: standard see-saw but TeV scale

slide-89
SLIDE 89

0νβ νββ-Decay: TeV Scale LNV

General Classification: Helo et al, PRD 88.011901, 88.073011 Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

L = g 2hij ⇥¯ LCiε∆LLj⇤ + (L ↔ R) + h.c.

89

WR WR ΔR e e

LRSM: Type II See-Saw

slide-90
SLIDE 90

0νβ νββ-Decay: TeV Scale LNV

General Classification: Helo et al, PRD 88.011901, 88.073011 Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

90

Scalar Leptoquarks

Mass: like RPV SUSY (loop) NLDBD: need Majorana fermion

slide-91
SLIDE 91

0νβ νββ-Decay: TeV Scale LNV

Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

91

What can we learn from the LHC?

slide-92
SLIDE 92

0νβ νββ-Decay: TeV Scale LNV

LHC Production Dirac Majorana

Lmass = y ¯ L ˜ HνR + h.c. Lmass = y Λ ¯ LcHHTL + h.c.

LHC: pp ! jj e-e- LHC: pp ! jjj e-e-

92