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Precision Electroweak Physics and QCD at an EIC. M.J. Ramsey-Musolf Wisconsin-Madison. NPAC. Theoretical Nuclear, Particle, Astrophysics & Cosmology. http://www.physics.wisc.edu/groups/particle-theory/. LBL, December 2008. Questions.

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Precision Electroweak Physics and QCD at an EIC

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Precision electroweak physics and qcd at an eic

Precision Electroweak Physics and QCD at an EIC

M.J. Ramsey-Musolf

Wisconsin-Madison

NPAC

Theoretical Nuclear, Particle, Astrophysics & Cosmology

http://www.physics.wisc.edu/groups/particle-theory/

LBL, December 2008


Questions

Questions

  • What are the opportunities for probing the “new Standard Model” and novel aspects of nucleon structure with electroweak processes at an EIC?

  • What EIC measurements are likely to be relevant after a decade of LHC operations and after completion of the Jefferson Lab electroweak program?

  • How might a prospective EIC electroweak program complement or shed light on other key studies of neutrino properties and fundamental symmetries in nuclear physics?


Outline

Outline

  • Lepton flavor violation: e-+AK  - + A

  • Neutral Current Processes: PV DIS & PV Moller

  • Charged Current Processes: e-+AK ET + j

Disclaimer: some ideas worked out in detail; others need more research


Lepton number flavor violation

Lepton Number & Flavor Violation

Uncovering the flavor structure of the new SM and its relationship with the origin of neutrino mass is an important task. The observation of charged lepton flavor violation would be a major discovery in its own right.

  • LNV & Neutrino Mass

  • Mechanism Problem

  • CLFV as a Probe

  • K e Conversion at EIC ?


0nbb decay lnv mass term

mnEFF & neutrino spectrum

Theory Challenge: matrix elements+ mechanism

Long baseline

b-decay

?

Normal

Inverted

?

0nbb-Decay: LNV? Mass Term?

Dirac

Majorana


0nbb decay mechanism

Theory Challenge: matrix elements+ mechanism

O(1) for L ~ TeV

0nbb-Decay: Mechanism

Dirac

Majorana

Mechanism: does light nM exchange dominate ?

How to calc effects reliably ? How to disentangle H & L ?


0nbb decay interpretation

0nbb signal equivalent to degenerate hierarchy

Loop contribution to mn of inverted hierarchy scale

0nbb-Decay: Interpretation


Sorting out the mechanism

Sorting out the mechanism

  • Models w/ Majorana masses (LNV) typically also contain CLFV interactions

    RPV SUSY, LRSM, GUTs (w/ LQ’s)

  • If the LNV process of arises from TeV scale particle exchange, one expects signatures in CLFV processes

  • K e Conversion at EIC could be one probe


Clfv lnv the scale of new physics

Present universe

Early universe

!e: M1

?

?

Bm->e

R =

!e: M1 !R ~ 

Bm->eg

Weak scale

Planck scale

CLFV, LNV & the Scale of New Physics

MEG: Bmg ~ 5 x 10-14

2e: Bm->e ~ 5 x 10-17

Also PRIME


Lepton flavor number violation

0nbb decay

RPV SUSY

LRSM

Low scale LFV: R ~ O(1)

GUT scale LFV: R ~ O(a)

Lepton Flavor & Number Violation

Raidal, Santamaria; Cirigliano, Kurylov, R-M, Vogel

Tree Level

MEG: Bm->eg ~ 5 x 10-14

Logarithmic enhancements of R

2e: Bm->e ~ 5 x 10-17


Lepton flavor number violation1

BKe48 |A2e|2

M1 operator

|A2e|2 < 10-8

If |A2e|2 ~ |A1e|2

Penguin op

EIC:  ~ 10-5 fb

Log or tree-level enhancement:

|A1e|2 / |A2e|2 ~ | ln me / 1 TeV |2 ~ 100

Need ~ 1000 fb

Logarithmic enhancements of R

 Lepton Flavor & Number Violation

Raidal, Santamaria; Cirigliano, Kurylov, R-M, Vogel

Exp: B->eg ~ 1.1 x 10-7

EIC:  ~ 103 | A1e|2 fb


Clfv other probes

 CLFV & Other Probes

Doubly Charged Scalars

Ke(

Ke(

he hee

+ h he

+ h he

hee he

+ he h

+ he h

Exp: B->eg ~ 1.1 x 10-7

if RH; PV Moller if LH

All hab$ m if part of see-saw

LHC: BRs (in pair prod)

EIC:  ~ 103 | A1e|2 fb


Lfv with leptons hera

eqq eff op

LFV with  leptons: HERA

Leptoquark Exchange: Like RPV SUSY /w /

  • HW Assignment:

  • Induce Keat one loop?

  • Consistent with BKe? HERA limits look stronger

  • Connection w/ m & in GUTS ?

  • Applicable to other models that generate tree-level ops?

Veelken (H1, Zeus) (2007)

lq|2 < 10-4 (MLQ / 100 GeV)2


Lfv with leptons recent theory

qq eff op

lq|2 < 2 x 10-2 (MLQ / 100 GeV)2

LFV with  leptons: recent theory

Kanemura et al (2005)

SUSY Higgs Exchange

lq|2 < 10-4 (MLQ / 100 GeV)2 HERA


Neutral current probes pv

Neutral Current Probes: PV

  • Basics of PV electron scattering

  • Standard Model: What we know

  • New physics ? SUSY as illustration

  • Probing QCD


Pv electron scattering

“Weak Charge” ~ 0.1 in SM

Enhanced transparency to new physics

Small QCD uncertainties (Marciano & Sirlin; Erler & R-M)

QCD effects (s-quarks): measured (MIT-Bates, Mainz, JLab)

PV Electron Scattering

Parity-Violating electron scattering


Effective pv e q interaction q w

Weak Charge:

Nu C1u + Nd C1d

Proton:

QWP = 2 C1u + C1d = 1-4 sin2W ~ 0.1

Electron:

QWe = C1e = -1+4 sin2W ~ - 0.1

Effective PV e-q interaction & QW

Low energy effective PV eq interaction


Q w and radiative corrections

Flavor-dependent

Large logs in 

Sum to all orders with running sin2W & RGE

sin2

Normalization

Scale-dependent effective weak mixing

Constrained by Z-pole precision observables

Flavor-independent

QW and Radiative Corrections

Tree Level

Radiative Corrections


Weak mixing in the standard model

JLab Future

SLAC Moller

Z0 pole tension

Parity-violating electron scattering

Scale-dependence of Weak Mixing

Weak Mixing in the Standard Model


Pves new physics

Semi-leptonic only

Moller only

1j1

1j1

hee

hee

PVES & New Physics

SUSY

Z/ Bosons

Leptoquarks

Doubly Charged Scalars

Radiative Corrections

RPV


Pves apv probes of susy

Moller (ee)

RPV: No SUSY DM Majorana n s

SUSY Loops

Q-Weak (ep)

d QWP, SUSY / QWP, SM

d QWe, SUSY / QWe, SM

Hyrodgen APV or isotope ratios

gm-2

12 GeV

6 GeV

E158

Global fit: MW, APV, CKM, l2,…

Kurylov, RM, Su

PVES & APV Probes of SUSY


Effective pv e q interaction pvdis

Weak Charge:

Nu C1u + Nd C1d

Proton:

QWP = 2 C1u + C1d = 1-4 sin2W ~ 0.1

Electron:

QWe = C1e = -1+4 sin2W ~ - 0.1

Effective PV e-q interaction & PVDIS

Low energy effective PV eq interaction

PV DIS eD asymmetry: leading twist


Model independent constraints

Model Independent Constraints

P. Reimer, X. Zheng


Comparing a d dis and q w p e

e

RPV

Loops

p

Comparing AdDIS and Qwp,e


Pves new physics the lhc

~ few 100 GeV & large tan

Moller: ~ 2.5% on APV

PVDIS: ~ 0.5% on APV

Need L ~ 1033 - 1034

< 1.5 TeV Masses

1j1

1j1

hee

hee

PVES, New Physics, & the LHC

SUSY

Z/ Bosons

Leptoquarks

Doubly Charged Scalars

Radiative Corrections

RPV


Deep inelastic pv beyond the parton model sm

Higher Twist: qq and qqg correlations

e-

e-

*

Z*

X

N

Charge sym in pdfs

d(x)/u(x): large x

Electroweak test: e-q couplings & sin2qW

Deep Inelastic PV: Beyond the Parton Model & SM


Pvdis qcd

Higher Twist (J Lab)

CSV (J Lab, EIC)

d/u (J Lab, EIC)

+

PVDIS & QCD

Low energy effective PV eq interaction

PV DIS eD asymmetry: leading twist


Pvdis csv

Londergan & Murdock

PVDIS & CSV

  • Direct observation of parton-level CSV would be very exciting!

  • Important implications for high energy collider pdfs

  • Could explain significant portion of the NuTeV anomaly

Few percent A/A

Adapted from K. Kumar


Pvdis d x u x x k 1

SU(6):

d/u~1/2

Valence Quark:

d/u~0

Perturbative QCD:

d/u~1/5

PVDIS & d(x)/u(x): xK1

Adapted from K. Kumar

A/A ~ 0.01

Very sensitive to d(x)/u(x)

PV-DIS off the proton

(hydrogen target)


C odd sd structure functions

C-odd

C-odd

C-Odd SD Structure Functions

Anselmino, Gambino, Kalinowski ‘94


Target spin asymmetries

Target Spin Asymmetries

Polarized Long & trans target spin asymmetries (parity even)

Unpolarized Long & trans target spin asymmetry (parity odd)

Bilenky et al ‘75; Anselmino et al ‘94


Pves at an eic

JLab Future

SLAC Moller

EIC PVDIS ?

Z0 pole tension

EIC Moller ?

Parity-violating electron scattering

Scale-dependence of Weak Mixing

PVES at an EIC


Charged current processes

Charged Current Processes

  • The NuTeV Puzzle

  • HERA Studies

  • W Production at an EIC ? CC/NC ratios ?


Weak mixing in the standard model1

JLab Future

SLAC Moller

Z0 pole tension

nucleus deep inelasticscattering

Scale-dependence of Weak Mixing

Weak Mixing in the Standard Model


The nutev puzzle

SUSY Loops

Wrong sign

RPV SUSY

The NuTeV Puzzle

Paschos-Wolfenstein


Other new cc physics

CC Structure Functions: more promising?

Other New CC Physics?

Low-Energy Probes

Nuclear & neutron decay

O / OSM ~ 10-3

Pion leptonic decay

O / OSM ~ 10-4

O / OSM ~ 10-2

Polarized -decay

HERA W production

O / OSM ~ 10-1

A. Schoning (H1, Zeus)


Summary

Summary

  • Precision studies and symmetry tests are poised to discovery key ingredients of the new Standard Model during the next decade

  • There may be a role for an EIC in the post-LHC era

  • Promising: PV Moller & PV DIS for neutral currents

  • Homework: Charged Current probes -- can they complement LHC & low-energy studies?

  • Intriguing: LFV with eK conversion:


Back matter

Back Matter

  • Precision studies and symmetry tests with neutrons are poised to discovery key ingredients of the new Standard Model during the next decade

  • Physics “reach” complements and can even exceed that of colliders: dn~10-28 e-cm ; O/OSM ~ 10-4

  • Substantial experimental and theoretical progress has set the foundation for this era of discovery

  • The precision frontier is richly interdisciplinary: nuclear, particle, hadronic, atomic, cosmology


Pves probes of rpv susy

0nbb sensitivity

m

LNV Probes of RPV:

l111/ ~ 0.06 for mSUSY ~ 1 TeV

lk31 ~ 0.02 for mSUSY ~ 1 TeV

m->eg

m->e

LFV Probes of RPV:

LFV Probes of RPV:

l12k ~ 0.3 for mSUSY ~ 1 TeV & dQWe/ QWe ~ 5%

lk31 ~ 0.03 for mSUSY ~ 1 TeV

lk31 ~ 0.15 for mSUSY ~ 1 TeV

PVES Probes of RPV SUSY


Probing leptoquarks with pves

SU(5) GUT: m, prot

LQ 2 15H

Dorsner & Fileviez Perez, NPB 723 (2005) 53

Fileviez Perez, Han, Li, R-M 0810.4238

Probing Leptoquarks with PVES

General classification: SU(3)C xSU(2)L x U(1)Y

Q-Weak sensitivities:


Probing leptoquarks with pves1

Probing Leptoquarks with PVES

SU(5) GUT:

mvia type II see saw

LQ 2 15H

Fileviez Perez, Han, Li, R-M 0810.4238


Probing leptoquarks with pves2

4% QWp (MLQ=100 GeV)

Probing Leptoquarks with PVES

PV Sensitivities

Fileviez Perez, Han, Li, R-M 0810.4238


Z pole tension

W. Marciano

Z Pole Tension

The Average: sin2θw = 0.23122(17)

⇒ mH = 89 +38-28 GeV

⇒ S = -0.13 ± 0.10

3σ apart

Rules out Technicolor!

Favors SUSY!

ALR

AFB (Z→ bb)

(also APV in Cs)

(also Moller @ E158)

sin2θw = 0.2322(3)

mH = 480 +350-230 GeV

S= +0.55 ± 17

sin2θw = 0.2310(3)

mH = 35 +26-17 GeV

S= -0.11 ± 17

Rules out SUSY!

Favors Technicolor!

Rules out the SM!

  • Precision sin2W measurements at colliders very challenging

  • Neutrino scattering cannot compete statistically

  • No resolution of this issue in next decade

K. Kumar


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