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PV DIS: SUSY and Higher Twist

M.J. Ramsey-Musolf Caltech Wisconsin-Madison. PV DIS: SUSY and Higher Twist. S. Mantry, K. Lee, G. Sacco Caltech. Outline. PV DIS & new physics Model independent analysis SUSY effects

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PV DIS: SUSY and Higher Twist

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  1. M.J. Ramsey-Musolf Caltech Wisconsin-Madison PV DIS: SUSY and Higher Twist S. Mantry, K. Lee, G. Sacco Caltech

  2. Outline PV DIS & new physicsModel independent analysis SUSY effects PV DIS & Higher twist Puzzles from JLab data The twist expansion What does QCD predict? Q2-dependence, operator matrix elements General remarks

  3. I. PV DIS & New physics

  4. Model Independent Constraints Low energy effective PV eq interaction PV DIS eD asymmetry: leading twist

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

  6. Like QWp,e ~ 1 - 4 sin2qW Flavor-dependent Normalization Scale-dependent effective weak mixing Constrained by Z-pole precision observables Flavor-independent QW and SUSY Radiative Corrections Tree Level Radiative Corrections

  7. Vertex & External leg SUSY Radiative Corrections Propagator Box

  8. 1j1 1j1 SUSY RPV Effects

  9. e RPV Loops p Comparing AdDIS and Qwp,e

  10. 0nbb sensitivity l111/ ~ 0.06 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 Probing SUSY with PV eN Interactions

  11. 0nbb signal equivalent to degenerate hierarchy l111/ ~ 0.06 for mSUSY ~ 1 TeV Loop contribution to mn of inverted hierarchy scale Lepton Flavor & Number Violation

  12. II. PV DIS & Higher Twist

  13. Probing the strange sea with PV First look beyond the quark model Not surprising: ms / Lc ~ 0.15 Great success for the JLab mission World Data 4/24/06 GMs = 0.28 +/- 0.20 GEs = -0.006 +/- 0.016 ~3% +/- 2.3% of proton magnetic moment ~20% +/- 15% of isoscalar magnetic moment ~0.2 +/- 0.5% of Electric distribution Consistent withs-quark contributions to mP & JP but smaller than early theoretical expectations Preliminary Courtesy of Kent Pashke (U Mass)

  14. ~ 50% fluctuations about leading twist Alekhin NNLO MRST NNLO MRST NNLO with Barbieri Target Mass Corrections • Smooth transition from DIS (solid squares) to resonance region • Resonances oscillate about perturbative curves (quark-hadron duality in transverse channel) - all Q2 • Target mass corrections large and important Probing Higher Twist: Beyond the Parton Model 2xF1 Experimental Status Data from JLab E94-110 (nucl-ex/0410027, submitted to PRL) Courtesy C Keppel

  15. Where are theqq and qqg correlations ? n = 2 Cornwall-Norton Moments F2 F2, F1 in excellent agreement with NNLO + TM above Q2 = 2 GeV2 No (or canceling) higher twists Yet, dominated by large x and resonance region Remove known HT (a bit novel), the elastic, and there is no more down to Q2 = 0.5 GeV2 The case looks different for FL (data or curve?) 2xF1 FL

  16. twist 2 twist 4 Jaffe ‘97 Twist Expansion Light cone expansion: x2 ~ 0 Momentum sum rules Twist = d(n) - j Power corr:

  17. twist 2 twist 4 Twist Expansion Light cone expansion: x2 ~ 0 Momentum sum rules Twist = d(n) - j Power corr:

  18. Non singlet Singlet Singlet Twist Expansion: Q2 Evolution Twist two Singlet moments: 2 x 2 mixing only Twist four: correlations Operator mixing: basis size grows with n (for nth moment)

  19. DGLAP splitting function No known analog for twist four Need RGE & anom dim computation Anomalous dimension Twist Expansion : Q2 Evolution Equivalence to parton model: twist two

  20. Non singlet Singlet + … Singlet + … + … + … Flavor: isosinglet mixing + … Twist Expansion : Q2 Evolution Twist two Singlet moments: 2 x 2 mixing only Twist four: correlations Operator mixing: basis size grows with n (for nth moment)

  21. ~ 50% fluctuations about leading twist Alekhin NNLO MRST NNLO MRST NNLO with Barbieri Target Mass Corrections • Smooth transition from DIS (solid squares) to resonance region • Resonances oscillate about perturbative curves (quark-hadron duality in transverse channel) - all Q2 • Target mass corrections large and important Probing Higher Twist: Beyond the Parton Model 2xF1 Experimental Status Data from JLab E94-110 (nucl-ex/0410027, submitted to PRL) Courtesy C Keppel

  22. Are twist 4 matrix elements suppressed or canceling? • Need C(Q2) to unpack matrix elements from data • Complementary probes (PV DIS) could provide new insight >> 10 % ?? Where are theqq and qqg correlations ? n = 2 Cornwall-Norton Moments F2 F2, F1 in excellent agreement with NNLO + TM above Q2 = 2 GeV2 No (or canceling) higher twists Yet, dominated by large x and resonance region Remove known HT (a bit novel), the elastic, and there is no more down to Q2 = 0.5 GeV2 The case looks different for FL (data or curve?) 2xF1 FL

  23. Looking beyond the parton description PV Deep Ineslastic eD (J Lab 12 GeV) Early days of PVES to probe strangeness: Extensive theoretical work to ensure results would be intepretable and meaningful (many thanks to T.W. Donnelly) We can do the same for PV DIS Theoretical Challenges pQCD evolution of twist four moments Lattice QCD for t =4 matrix elements Organizing the program: what kinematics, complementarity with PC F1,2 , … ~0.4% Different PDF fits E=11 GeV q=12.50 Sacco, R-M preliminary Probing Higher Twist with PV

  24. III. General remarks • PV DIS provides a comprehensive probe of QCD beyond the parton model & possible deviations from the SM EW sector • Looking beyond the parton model is a natural continuation of the JLab strange quark searches • Rich set of challenges for theory & experiment: higher twist, CSB in pdfs, d/u… • Important complement to 12 GeV Moller that would be a focused and powerful probe of EW SM & possible new physics

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