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

2. 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?

3. Outline Lepton flavor violation: e - +A K  - + A Neutral Current Processes: PV DIS & PV Moller Charged Current Processes: e - +A K E T + j Disclaimer: some ideas worked out in detail; others need more research

4. Lepton Number & Flavor Violation LNV & Neutrino Mass  Mechanism Problem CLFV as a Probe  K e Conversion at EIC ? 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.

5.  -Decay: LNV? Mass Term? Dirac Majorana  -decay Long baseline ? ? Theory Challenge: matrix elements+ mechanism m EFF & neutrino spectrum NormalInverted

6.  -Decay: Mechanism Dirac Majorana Theory Challenge: matrix elements+ mechanism Mechanism: does light M exchange dominate ? How to calc effects reliably ? How to disentangle H & L ? O(1) for  ~ TeV

7.  -Decay: Interpretation  signal equivalent to degenerate hierarchy Loop contribution to m of inverted hierarchy scale

8. 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

9. CLFV, LNV & the Scale of New Physics Present universeEarly universe Weak scalePlanck scale MEG:   ~ 5 x 10 -14  2e: B  ->e ~ 5 x 10 -17 ?? R = B  ->e B  ->e  Also PRIME  !e  : M1  !e  : M1 ! R ~ 

10. Lepton Flavor & Number Violation MEG: B  ->e  ~ 5 x 10 -14  2e: B  ->e ~ 5 x 10 -17 Logarithmic enhancements of R Raidal, Santamaria; Cirigliano, Kurylov, R- M, Vogel 0  decay RPV SUSY LRSM Tree Level Low scale LFV: R ~ O(1) GUT scale LFV: R ~ O 

11.  Lepton Flavor & Number Violation Exp: B  ->e  ~ 1.1 x 10 -7 EIC:  ~ 10 3 | A 1  e | 2 fb Raidal, Santamaria; Cirigliano, Kurylov, R- M, Vogel Logarithmic enhancements of R |A 2  e | 2 < 10 -8 EIC:  ~ 10 -5 fb If |A 2  e | 2 ~ |A 1  e | 2 Log or tree-level enhancement: |A 1  e | 2 / |A 2  e | 2 ~ | ln m e / 1 TeV | 2 ~ 100 B  Ke   48    |A 2  e | 2 Need ~ 1000 fb M1 operator Penguin op

12.  CLFV & Other Probes Exp: B  ->e  ~ 1.1 x 10 -7 EIC:  ~ 10 3 | A 1  e | 2 fb h  e h ee + h  h  e + h  h  e  if RH; PV Moller if LH  Ke(   Doubly Charged Scalars  Ke(   h ee h e  + h e  h  + h e  h  All h ab $ m if part of see- saw LHC:     BRs (in pair prod)

13. LFV with  leptons: HERA Veelken (H1, Zeus) (2007) Leptoquark Exchange: Like RPV SUSY /w /  eqq eff op  lq | 2 < 10 -4 (M LQ / 100 GeV) 2 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?

14. LFV with  leptons: recent theory Kanemura et al (2005)  qq eff op SUSY Higgs Exchange  lq | 2 < 2 x 10 -2 (M LQ / 100 GeV) 2  lq | 2 < 10 -4 (M LQ / 100 GeV) 2 HERA

15. Neutral Current Probes: PV Basics of PV electron scattering Standard Model: What we know New physics ? SUSY as illustration Probing QCD

16. PV Electron Scattering Parity-Violating 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)

17. Effective PV e-q interaction & Q W Low energy effective PV eq interaction Weak Charge: N u C 1u + N d C 1d Proton: Q W P = 2 C 1u + C 1d = 1-4 sin 2  W ~ 0.1 Electron: Q W e = C 1e = -1+4 sin 2  W ~ - 0.1

18. Q W and Radiative Corrections Tree Level Radiative Corrections sin 2 Flavor-independent Normalization Scale-dependent effective weak mixing Flavor-dependent Constrained by Z-pole precision observables Large logs in  Sum to all orders with running sin 2  W & RGE

19. Weak Mixing in the Standard Model Scale-dependence of Weak Mixing JLab Future SLAC Moller Parity-violating electron scattering Z 0 pole tension

20. PVES & New Physics …  1j1 Radiative Corrections RPV SUSYZ / BosonsLeptoquarks Doubly Charged Scalars  h ee Semi-leptonic only Moller only

21. PVES & APV Probes of SUSY  Q W P, SUSY / Q W P, SM RPV: No SUSY DM Majorana s SUSY Loops  Q W e, SUSY / Q W e, SM g  -2  12 GeV  6 GeV E158 Q-Weak (ep)Moller (ee)  Kurylov, RM, Su Hyrodgen APV or isotope ratios Global fit: M W, APV, CKM,  l 2,…

22. Effective PV e-q interaction & PVDIS Low energy effective PV eq interaction PV DIS eD asymmetry: leading twist Weak Charge: N u C 1u + N d C 1d Proton: Q W P = 2 C 1u + C 1d = 1-4 sin 2  W ~ 0.1 Electron: Q W e = C 1e = -1+4 sin 2  W ~ - 0.1

23. Model Independent Constraints P. Reimer, X. Zheng

24. Comparing A d DIS and Q w p,e e p RPV Loops

25. PVES, New Physics, & the LHC …  1j1 Radiative Corrections RPV SUSYZ / BosonsLeptoquarks Doubly Charged Scalars  h ee < 1.5 TeV Masses ~ few 100 GeV & large tan  Moller: ~ 2.5% on A PV PVDIS: ~ 0.5% on A PV Need L ~ 10 33 - 10 34

26. Deep Inelastic PV: Beyond the Parton Model & SM e-e- N X e-e- Z*Z* ** d(x)/u(x): large x Electroweak test: e-q couplings & sin 2  W Higher Twist: qq and qqg correlations Charge sym in pdfs

27. PVDIS & QCD Low energy effective PV eq interaction PV DIS eD asymmetry: leading twist Higher Twist (J Lab) CSV (J Lab, EIC) d/u (J Lab, EIC) +

28. 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 Londergan & Murdock Few percent  A/A Adapted from K. Kumar

29. PVDIS & d(x)/u(x): xK1 Adapted from K. Kumar SU(6):d/u~1/2 Valence Quark:d/u~0 Perturbative QCD:d/u~1/5 PV-DIS off the proton (hydrogen target) Very sensitive to d(x)/u(x)  A/A ~ 0.01

30. C-Odd SD Structure Functions C-odd Anselmino, Gambino, Kalinowski ‘94

31. 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

32. PVES at an EIC Scale-dependence of Weak Mixing JLab Future SLAC Moller Parity-violating electron scattering EIC PVDIS ? Z 0 pole tension EIC Moller ?

33. Charged Current Processes The NuTeV Puzzle HERA Studies W Production at an EIC ? CC/NC ratios ?

34. Weak Mixing in the Standard Model Scale-dependence of Weak Mixing JLab Future SLAC Moller  nucleus deep inelasticscattering Z 0 pole tension

35. The NuTeV Puzzle Paschos-Wolfenstein SUSY Loops RPV SUSY Wrong sign

36. Other New CC Physics? Low-Energy Probes Nuclear & neutron  decay Pion leptonic decay Polarized  -decay  O / O SM ~ 10 -3  O / O SM ~ 10 -4  O / O SM ~ 10 -2 HERA W production  O / O SM ~ 10 -1 A. Schoning (H1, Zeus) CC Structure Functions: more promising?

37. 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:

38. 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: d n ~10 -28 e-cm ;  O/O SM ~ 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

39. PVES Probes of RPV SUSY 111 / ~ 0.06 for m SUSY ~ 1 TeV  sensitivity k31 ~ 0.15 for m SUSY ~ 1 TeV  ->e  LFV Probes of RPV: k31 ~ 0.03 for m SUSY ~ 1 TeV  ->e LFV Probes of RPV: 12k ~ 0.3 for m SUSY ~ 1 TeV &  Q W e / Q W e ~ 5% k31 ~ 0.02 for m SUSY ~ 1 TeV m LNV Probes of RPV:

40. Probing Leptoquarks with PVES General classification: SU(3) C x SU(2) L x U(1) Y Q-Weak sensitivities: SU(5) GUT: m ,  prot LQ 2 15 H Dorsner & Fileviez Perez, NPB 723 (2005) 53 Fileviez Perez, Han, Li, R-M 0810.4238

41. Probing Leptoquarks with PVES SU(5) GUT: m  via type II see saw LQ 2 15 H Fileviez Perez, Han, Li, R-M 0810.4238

42. Probing Leptoquarks with PVES PV Sensitivities Fileviez Perez, Han, Li, R-M 0810.4238 4% Q W p (M LQ =100 GeV)

43. Z Pole Tension ⇒ m H = 89 +38 -28 GeV ⇒ S = -0.13 ± 0.10 A LR A FB (Z→ bb) sin 2 θ w = 0.2310(3) ↓ m H = 35 +26 -17 GeV S= -0.11 ± 17 sin 2 θ w = 0.2322(3) ↓ m H = 480 +350 -230 GeV S= +0.55 ± 17 Rules out the SM! Rules out SUSY! Favors Technicolor! Rules out Technicolor! Favors SUSY! (also APV in Cs) (also Moller @ E158) W. Marciano The Average: sin 2 θ w = 0.23122(17) 3σ apart Precision sin 2  W measurements at colliders very challenging Neutrino scattering cannot compete statistically No resolution of this issue in next decade K. Kumar