and EDMs: Energy Frontier 0 Connections M.J. Ramsey-Musolf U Mass - - PowerPoint PPT Presentation

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0νβ νββ and EDMs: Energy Frontier Connections

DBD Topical Collaboration Meeting, February 2017

M.J. Ramsey-Musolf

U Mass Amherst

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

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Goals For This Talk

• Provide some context for the heavy particle

exchange mechanism for 0νββ – decay

• Discuss some recent work on the interplay of

0νββ – decay and EDM searches with energy frontier searches

• Put the need for refined hadronic and nuclear

matrix element computations in the broader BSM context

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0νβ νββ-Decay: TeV Scale LNV

Benchmark Sensitivity: TeV LNV Dirac Majorana

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

• T. Peng, MRM, P. Winslow 1508.04444

~2018 >2024 Assume GERDA present limit & different Nuc/Had MEs

Future Reach: Higgs Portal CPV

CPV & 2HDM: Type II illustration λ6,7 = 0 for simplicity Present Future: dn x 0.1 dA(Hg) x 0.1 dThO x 0.1 dA(Ra) [10-27 e cm] Future: dn x 0.01 dA(Hg) x 0.1 dThO x 0.1 dA(Ra) ThO n Hg

sin αb : CPV scalar mixing

Inoue, R-M, Zhang: 1403.4257 Ra 4

Higgs Portal CPV: EDMs & LHC

CPV & 2HDM: Type II illustration λ6,7 = 0 for simplicity Present Future: dn x 0.1 dA(Hg) x 0.1 dThO x 0.1 dA(Ra) [10-27 e cm] Future: dn x 0.01 dA(Hg) x 0.1 dThO x 0.1 dA(Ra) ThO n Hg

sin αb : CPV scalar mixing

Inoue, R-M, Zhang: 1403.4257 Ra 5

Mh2 = 550 GeV

Chen, Li, RM preliminary

Run II Current dn LHC 100 fb-1 LHC 300 fb-1

Had & Nuc Uncertainties

CPV & 2HDM: Type II illustration λ6,7 = 0 for simplicity Present

sin αb : CPV scalar mixing

Inoue, R-M, Zhang: 1403.4257

Range of hadronic matrix elements Range of nuclear matrix elements

Challenge for Theory

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Outline

I. BSM Context

• II. LNV: 0νββ – Decay Mechanisms
• III. The “Standard Mechanism” : Lightning Review
• IV. TeV Scale LNV: 0νββ – Decay & the LHC
• V. EDMs & the LHC: Higgs Portal CPV
• VI. Summary
• VII. Back Up Slides: Sterile Neutrinos, 0νββ –

Decay Effective Theory

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• I. The BSM Context

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Questions for Fundamental Physics*

• What is the origin of matter (luminous & dark) ?
• Why are neutrino masses so small ?
• Are fundamental interactions “natural” ?

*Partial List

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Questions for Fundamental Physics*

• What is the origin of matter (luminous & dark) ?
• Why are neutrino masses so small ?
• Are fundamental interactions “natural” ?

Partners Partners

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Questions for Fundamental Physics*

• What is the origin of matter (luminous & dark) ?
• Why are neutrino masses so small ?
• Are fundamental interactions “natural” ?

Partners Partners

Higgs Mechanism Something else ?

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Questions for Fundamental Physics*

• What is the origin of matter (luminous & dark) ?
• Why are neutrino masses so small ?
• Are fundamental interactions “natural” ?

*Partial List

LNV Searches: 0 0νβ νββ Decay + …

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How “Natural” is mν ?

Dirac Mass: Majorana Mass: mν = y v v = 246 GeV ! y ~ 10-12 mν = y v2 / Λ v = 246 GeV & y ~ O O (1) ! Λ ~ 1014 GeV

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How “Natural” is mν ?

Dirac Mass: Majorana Mass: mν = y v v = 246 GeV ! y ~ 10-12 mν = y v2 / Λ v = 246 GeV & y ~ O O (1) ! Λ ~ 1014 GeV How reliable a guide is naturalness ?

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BSM Physics: Where Does it Live ?

Mass Scale Coupling MW

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BSM Physics: Where Does it Live ?

Mass Scale Coupling MW

BSM ?

SUSY, LNV, extended Higgs sector…

BSM ?

Sterile ν’s, axions, dark U(1)…

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BSM Physics: Where Does it Live ?

Mass Scale Coupling MW

BSM ?

SUSY, LNV, extended Higgs sector…

BSM ?

Sterile ν’s, axions, dark U(1)…

Is the mass scale associated with mν far above MW ? Near MW ? Well below MW ?

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Questions for Fundamental Physics*

• What is the origin of matter (luminous & dark) ?
• Why are neutrino masses so small ?
• Are fundamental interactions “natural” ?

*Partial List

Discovering answers requires studies at three frontiers: energy, intensity, & cosmic.

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Low-Energy / High-Energy Interplay

Discovery “Diagnostic” Low energy High energy & cosmology

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Low-Energy / High-Energy Interplay

Discovery “Diagnostic” Low energy High energy & cosmology

?

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• II. LNV: 0νβ

νββ – Decay Mechanisms

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0νβ νββ-Decay: LNV? Mass Term?

Dirac Majorana

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

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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.

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LNV Physics

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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.

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• 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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0νβ νββ-Decay: Mechanisms

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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• III. The “Standard Mechanism”

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0νβ νββ-Decay: “Standard” Mechanism

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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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.

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• 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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0νβ νββ-Decay: LNV? Mass Term?

Dirac Majorana

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

νL νL NR

H H

Low-energy eff theory

Λ = mN

Neutrinos and the Origin of Matter

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Γ(N ! `H) 6= Γ(N ! ¯ `H∗) (

• Heavy neutrinos decay out of equilibrium

in early universe

• Majorana neutrinos can decay to particles

and antiparticles

• Rates can be slightly different (CP violation)
• Resulting excess of leptons over anti-leptons

partially converted into excess of quarks over anti-quarks by Standard Model sphalerons

Neutrinos and the Origin of Matter

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Γ(N ! `H) 6= Γ(N ! ¯ `H∗) (

• Heavy neutrinos decay out of equilibrium

in early universe

• Majorana neutrinos can decay to particles

and antiparticles

• Rates can be slightly different (CP violation)
• Resulting excess of leptons over anti-leptons

partially converted into excess of quarks over anti-quarks by Standard Model sphalerons

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0νβ νββ-Decay: LNV? Mass Term?

Dirac Majorana

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

νL νL NR

H H

Low-energy eff theory

Λ = mN

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0νβ νββ-Decay Sensitivity

A(Z,N) ! A(Z+2, N-2) + e- e- ν ν 2ν DBD: A(Z,N) ! A(Z+2, N-2) + e- e- 0ν DBD:

If own antiparticle, can be emitted then absorbed during decay

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0νβ νββ-Decay Sensitivity

A(Z,N) ! A(Z+2, N-2) + e- e- ν ν 2ν DBD: A(Z,N) ! A(Z+2, N-2) + e- e- 0ν DBD:

If own antiparticle, can be emitted then absorbed during decay All three light neutrinos participate ! Rate governed by an effective mass

Im Re m m m

ee ee ee

(1) (3) (2)

| | | | | | e

e . .

ee

<m > 2iβ 2iα Individual contributions

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Why Might A “Ton-Scale” Exp’t See It?

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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Interpreting the Result

Three active light neutrinos

Effective DBD neutrino mass (eV)

Inverted Normal

Ton Scale

Full implications require information on lightest mass & hierarchy

Lightest neutrino mass (eV) ! Current generation Current generation

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• IV. TeV-Scale LNV: 0νβ

νββ – Decay & The LHC

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Why Might A “Ton-Scale” Exp’t See It?

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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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.

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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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0νβ νββ-Decay: TeV Scale LNV

Theory Challenge: matrix elements + mechanism

mν

EFF =

Uek

2mk e2iδ k

∑

e

−

e

−

χ

˜ e

−

u u d d

˜ e

−

e

−

e

−

ν M

W

−

W

−

u u d d

Mechanism: does light νM exchange dominate ?

How to calc effects reliably ? How to disentangle H & L ? O(1) for Λ ~ TeV

Dirac Majorana

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

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0νβ νββ-Decay: TeV Scale LNV

Theory Challenge: matrix elements + mechanism

mν

EFF =

Uek

2mk e2iδ k

∑

e

−

e

−

χ

˜ e

−

u u d d

˜ e

−

e

−

e

−

ν M

W

−

W

−

u u d d

LNV

Dirac Majorana

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

LNV at the LHC

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.

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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.

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SUSY: R Parity-Violation

Sfermion Gaugino q , l ~ ~ g , χ ~

u u d d e e

V ~ F ~ F ~ Majorana

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.

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SUSY: R Parity-Violation

Sfermion Gaugino q , l ~ ~ g , χ ~

u u d d e e

V ~ F ~ F ~ Majorana

LNV

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.

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SUSY: R Parity-Violation

u u d d e e

V ~ F ~ F ~

LNV

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.

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SUSY: R Parity-Violation

u u d d e e

V ~ F ~ F ~

LNV

0νβ νββ-Decay: TeV Scale LNV

Dirac Majorana

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

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Other Models: Back Up Slides

0νβ νββ-Decay: TeV Scale LNV

Dirac Majorana

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

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What can we learn from the LHC?

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-

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0νβ νββ-Decay: TeV Scale LNV

LHC Production & 0νββ-Decay Dirac Majorana

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

50

Helo et al, PRD 88.011901, 88.073011

76Ge τ (0ν)

LHC exclusion

0νβ νββ-Decay: TeV Scale LNV

d d u u e− e− F 0 S+ S+

d d u e− e− u

LHC: pp ! jj e-e- 0νββ - decay Dirac Majorana

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

Illustrative Simplified Model:

51

variant form:

Y -1/6 -1/3 1/2 1/2 0 -1/2

DT = ( S+ , S0 )

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:

52

Cj = gj variant form:

Y -1/6 -1/3 1/2 1/2 0 -1/2

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 53

Cj = gj variant form:

Y -1/6 -1/3 1/2 1/2 0 -1/2

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 54

Cj = gj variant form:

Y -1/6 -1/3 1/2 1/2 0 -1/2

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 ?

55

Simplified models

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

Effective operators:

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

0νβ νββ-Decay: TeV Scale LNV

Our reanalysis: Dirac Majorana

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

• Include backgrounds
• Incorporate QCD running
• Include long-distance contributions to nuclear matrix elements

57

• T. Peng, MJRM, P. Winslow, 1508.04444

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

58

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

59

0νβ νββ-Decay: TeV Scale LNV

Backgrounds: Dirac Majorana

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

48

• Charge flip
• Jet faking electron

e+ e+ e- e- ν ν W W b b t t g e+ transfers most of pT to conversion e- ; b’s not tagged ! apparent e- e- jj event

60

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

61

0νβ νββ-Decay: TeV Scale LNV

Backgrounds: Dirac Majorana

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

Jet fakes

62

0νβ νββ-Decay: TeV Scale LNV

Backgrounds: Dirac Majorana

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

Cuts

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• HT
• MET
• Mll

0νβ νββ-Decay: TeV Scale LNV

Backgrounds: Dirac Majorana

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

Cuts

64

0νβ νββ-Decay: TeV Scale LNV

Low energy: Dirac Majorana

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

Running

65

0νβ νββ-Decay: TeV Scale LNV

Low energy: Dirac Majorana

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

QCD Running

66

0νβ νββ-Decay: TeV Scale LNV

Low energy: Dirac Majorana

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

QCD Running

67

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

68

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

69

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

70

Helo et al Our work

0νβ νββ-Decay: TeV Scale LNV

71

Putting the pieces together

72

0νβ νββ-Decay: TeV Scale LNV

Benchmark Sensitivity: TeV LNV Dirac Majorana

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

• T. Peng, MRM, P. Winslow 1508.04444

73

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.

16

F S S

• T. Peng, MRM, P. Winslow 1508.04444

Present Tonne scale

74

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.

16

F S S

• T. Peng, MRM, P. Winslow 1508.04444

Present Tonne scale Nuc & had matrix elements

75

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.

16

F S S

• T. Peng, MRM, P. Winslow 1508.04444

Present Tonne scale LHC: ee jj

76

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.

16

F S S

• T. Peng, MRM, P. Winslow 1508.04444

Present Tonne scale

~2018 >2024

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

77

0νβ νββ-Decay: TeV Scale LNV & mν

Dirac Majorana

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

Implications for mν :

78

Signal mν (loop)

Ton Scale A hypothetical scenario

79

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.

16

F S S

• T. Peng, MRM, P. Winslow 1508.04444

Assume GERDA present limit & different Nuc/Had MEs

80

• V. EDMs & the LHC: Higgs Portal CPV

81

EDMs & SM Physics

dn ~ (10-16 e cm) x θQCD + dn

CKM

82

EDMs & SM Physics

dn ~ (10-16 e cm) x θQCD + dn

CKM

dn

CKM = (1 – 6) x 10-32 e cm

• C. Seng arXiv: 1411.1476

83

EDMs & BSM Physics

d ~ (10-16 e cm) x (υ / Λ)2 x sinφ x yf F

84

EDMs & BSM Physics

d ~ (10-16 e cm) x (υ / Λ)2 x sinφ x yf F

CPV Phase: large enough for baryogenesis ?

85

EDMs & BSM Physics

d ~ (10-16 e cm) x (υ / Λ)2 x sinφ x yf F

BSM mass scale: TeV ? Much higher ?

86

EDMs & BSM Physics

d ~ (10-16 e cm) x (υ / Λ)2 x sinφ x yf F

BSM dynamics: perturbative? Strongly coupled?

87

EDMs & BSM Physics

d ~ (10-16 e cm) x (υ / Λ)2 x sinφ x yf F

BSM dynamics: perturbative? Strongly coupled? Hadronic & atomic systems: reliable SM calc’s?

88

EDMs & BSM Physics

d ~ (10-16 e cm) x (υ / Λ)2 x sinφ x yf F

Need information from at least three “frontiers”

89

EDMs & BSM Physics

d ~ (10-16 e cm) x (υ / Λ)2 x sinφ x yf F

Need information from at least three “frontiers”

• Baryon asymmetry

Cosmic Frontier

• High energy collisions

Energy Frontier

• EDMs

Intensity Frontier

90

EDM/LHC Complementarity

The Higgs Portal

91

Higgs Portal CPV

CPV & 2HDM: Type I & II

f f f γ

H0/H+ W ± H⌥

V = λ1 2 (φ†

1φ1)2 + λ2

2 (φ†

2φ2)2 + λ3(φ† 1φ1)(φ† 2φ2) + λ4(φ† 1φ2)(φ† 2φ1) + 1

2 h λ5(φ†

1φ2)2 + h.c.

i −1 2 n m2

11(φ† 1φ1) +

h m2

12(φ† 1φ2) + h.c.

i + m2

22(φ† 2φ2)

• .

δ1 = Arg ⇥ λ⇤

5(m2 12)2⇤

, δ2 = Arg ⇥ λ⇤

5(m2 12)v1v⇤ 2

⇤

δ2 ⇡ 1

• λ5v1v2

m2

12

• 1 2
• λ5v1v2

m2

12

• δ1

λ6,7 = 0 for simplicity EWSB Inoue, R-M, Zhang: 1403.4257 92

Future Reach: Higgs Portal CPV

CPV & 2HDM: Type II illustration λ6,7 = 0 for simplicity Present Future: dn x 0.1 dA(Hg) x 0.1 dThO x 0.1 dA(Ra) [10-27 e cm] Future: dn x 0.01 dA(Hg) x 0.1 dThO x 0.1 dA(Ra) ThO n Hg

sin αb : CPV scalar mixing

Inoue, R-M, Zhang: 1403.4257 Ra 93

Higgs Portal CPV: EDMs & LHC

CPV & 2HDM: Type II illustration λ6,7 = 0 for simplicity Present Future: dn x 0.1 dA(Hg) x 0.1 dThO x 0.1 dA(Ra) [10-27 e cm] Future: dn x 0.01 dA(Hg) x 0.1 dThO x 0.1 dA(Ra) ThO n Hg

sin αb : CPV scalar mixing

Inoue, R-M, Zhang: 1403.4257 Ra

LHC Current

Dawson et al: 1503.01114

Mh2 = 400 GeV

94

Higgs Portal CPV: EDMs & LHC

CPV & 2HDM: Type II illustration λ6,7 = 0 for simplicity Present Future: dn x 0.1 dA(Hg) x 0.1 dThO x 0.1 dA(Ra) [10-27 e cm] Future: dn x 0.01 dA(Hg) x 0.1 dThO x 0.1 dA(Ra) ThO n Hg

sin αb : CPV scalar mixing

Inoue, R-M, Zhang: 1403.4257 Ra

LHC Future ?

Dawson et al: 1503.01114

Mh2 = 400 GeV

95

Higgs Portal CPV: EDMs & LHC

CPV & 2HDM: Type II illustration λ6,7 = 0 for simplicity Present Future: dn x 0.1 dA(Hg) x 0.1 dThO x 0.1 dA(Ra) [10-27 e cm] Future: dn x 0.01 dA(Hg) x 0.1 dThO x 0.1 dA(Ra) ThO n Hg

sin αb : CPV scalar mixing

Inoue, R-M, Zhang: 1403.4257 Ra 96

Mh2 = 550 GeV

Chen, Li, RM preliminary

Run II Current dn LHC 100 fb-1 LHC 300 fb-1

97

Low-Energy / High-Energy Interplay

Discovery “Diagnostic” Low energy High energy

?

Higgs Portal CPV

98

Hadronic & Nuclear Matrix Elements

99

Hadronic Matrix Elements

Engel, R-M, van Kolck ‘13

100

Hadronic Matrix Elements

Engel, R-M, van Kolck ‘13 (CEDM)

101

Hadronic Matrix Elements

Engel, R-M, van Kolck ‘13 (EDM) Update: Battacharya et al 2015

102

Nuclear Matrix Elements

Engel, R-M, van Kolck ‘13

Had & Nuc Uncertainties

CPV & 2HDM: Type II illustration λ6,7 = 0 for simplicity Present

sin αb : CPV scalar mixing

Inoue, R-M, Zhang: 1403.4257 103

Had & Nuc Uncertainties

CPV & 2HDM: Type II illustration λ6,7 = 0 for simplicity Present

sin αb : CPV scalar mixing

Inoue, R-M, Zhang: 1403.4257

Range of hadronic matrix elements Range of nuclear matrix elements

104

Had & Nuc Uncertainties

CPV & 2HDM: Type II illustration λ6,7 = 0 for simplicity Present

sin αb : CPV scalar mixing

Inoue, R-M, Zhang: 1403.4257

Range of hadronic matrix elements Range of nuclear matrix elements

Challenge for Theory

105

106

• VI. Summary & Outlook
• There exist a variety of well-motivated neutrino mass

mechanisms associated with LNV interactions ranging from low- to high-scales

• 0νββ-decay and LHC searches provide complementary

probes of TeV scale LNV

• EDM and LHC searches can provide complementary

probes of BSM CPV

• LHC results may provide a powerful diagnostic for

interpreting a non-zero 0νββ-decay and/or EDM observation

• Refined hadronic & nuclear ME computations are essential

to this inter-frontier complementarity

107

• VII. Back Up Slides

108

Why Might A “Ton-Scale” Exp’t See It?

Three active light neutrinos

Effective DBD neutrino mass (eV)

Inverted Normal

Lightest neutrino mass (eV) !

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.

109

LRSM: Type I See-Saw

WR WR NR e e

Mass: standard see-saw but TeV scale

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.

110

WR WR ΔR e e

LRSM: Type II See-Saw

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.

111

Scalar Leptoquarks

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

112

Why Might A “Ton-Scale” Exp’t See It?

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

113

Interpreting a Positive Result

Three active light neutrinos

Effective DBD neutrino mass (eV)

Inverted Normal

Ton Scale

Positive result would be consistent with 3 light active ν’s & IH or quasi-deg regime, but not definitive as to mechanism

Lightest neutrino mass (eV) ! Current generation Current generation

114

Interpreting a Positive Result

3+1 active light neutrinos

Effective DBD neutrino mass (eV)

Inverted Normal

Positive result would be consistent with 3+1 light active ν’s & NH, IH, or quasi-deg regime, but not definitive as to mechanism

Lightest neutrino mass (eV) ! Ton Scale Current generation Current generation Giunti & Zavanin, JHEP07 (2015) 171

115

Sterile Neutrinos & 0νββ-Decay

3 active light neutrinos

Effective DBD neutrino mass (eV) Lightest neutrino mass (eV) ! Giunti & Zavanin, JHEP07 (2015) 171

3+1 active light neutrinos

Lightest neutrino mass (eV) !

116

Sterile Neutrinos & 0νββ-Decay

3 active light neutrinos

Effective DBD neutrino mass (eV) Lightest neutrino mass (eV) ! Giunti & Zavanin, JHEP07 (2015) 171

3+1 active light neutrinos

Lightest neutrino mass (eV) !

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

117

Prezeau, MJRM, Vogel PRD 68 (2003) 034016

0ν ββ - decay in effective field theory

Operator classification

µ = MWEAK

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 = +

118

0ν ββ - decay in effective field theory

Operator classification

µ = MWEAK

ˆ O

1+ ab = q Lγ µτ aqL q Rγµτ bqR

qL → LqL qR → RqR L R = exp i ! θ

L R ⋅

! τ 2 P

L R

% & ' ( ) *

Chiral transformations: SU(2)L x SU(2)R

ˆ O

1+ ab ∈ (3L, 3R)

Parity transformations: qL $ qR 0ν ββ - decay: a = b = +

ˆ O

1+ ++ ↔ ˆ

O

1+ ++

119

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+ ++

120