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PVES & The New St’d Model

PVES & The New St’d Model. M.J. Ramsey-Musolf Wisconsin-Madison. NPAC. Theoretical Nuclear, Particle, Astrophysics & Cosmology. http://www.physics.wisc.edu/groups/particle-theory/. INT, November 2008. Outline. Brief Context SUSY Z’ Leptoquarks Doubly Charged Scalars

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PVES & The New St’d Model

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  1. PVES & The New St’d Model M.J. Ramsey-Musolf Wisconsin-Madison NPAC Theoretical Nuclear, Particle, Astrophysics & Cosmology http://www.physics.wisc.edu/groups/particle-theory/ INT, November 2008

  2. Outline • Brief Context • SUSY • Z’ • Leptoquarks • Doubly Charged Scalars • QWP, APV Isotope Ratios, & Box Graphs

  3. Probing Fundamental Symmetries beyond the SM: Use precision low-energy measurements to probe virtual effects of new symmetries & compare with collider results • Precision measurements predicted a range for mt before top quark discovery • mt >> mb ! • mt is consistent with that range • It didn’t have to be that way • Precision Frontier: • Precision ~ Mass scale • Look for pattern from a variety of measurements • Identify complementarity with collider searches • Special role: SM suppressed processes Radiative corrections Direct Measurements Stunning SM Success Precision & Energy Frontiers J. Ellison, UCI

  4. Muons • gm-2 • mA->eA Nuclei & Charged Leptons PV Electron Scattering • Q-Weak • 12 GeV Moller • PV DIS Weak Decays • n decay correlations • nuclear b decay • pion decays • muon decays

  5. Muons Weak Decays • gm-2 • mA->eA • n decay correlations • nuclear b decay • pion decays • muon decays • Essential Role for Theory • Precise SM predictions (QCD) • Sensitivity to new physics & complementarity w/ LHC Nuclei & Charged Leptons: Theory PV Electron Scattering • Q-Weak • 12 GeV Moller • PV DIS • Substantially reduced QCD uncertainty in sin2qW running • QCD uncertainties in ep box graphs quantified • Comprehensive analysis of new physics effects

  6. 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

  7. 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

  8. 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

  9. Like QWp,e ~ 1 - 4 sin2qW Flavor-dependent Normalization Scale-dependent effective weak mixing Constrained by Z-pole precision observables Flavor-independent C2q and Radiative Corrections Tree Level Radiative Corrections

  10. QWP = 0.0716 QWe = 0.0449 Experiment SUSY Loops E6 Z/ boson RPV SUSY Leptoquarks SM SM New Physics: Comparing PV Observables

  11. SUSY • MSSM • Radiative Corrections • RPV & Lepton Number Violation • LFV,  Decay, & Neutrino Mass R-M & Su, Phys. Rep. 456 (2008) 1

  12. Supersymmetry Fermions Bosons sfermions gauginos No new coupling constants Two Higgs vevs Higgsinos Supersymmetric Higgs mass,  Charginos, neutralinos Minimal Supersymmetric Standard Model (MSSM)

  13. SUSY Breaking Superpartners have not been seen Theoretical models of SUSY breaking Visible World Hidden World Flavor-blind mediation How is SUSY broken? SUSY must be a broken symmetry

  14. Superpartners have not been seen Theoretical models of SUSY breaking Gaugino mass ~ 100 new parameters 40 new CPV phases Flavor mixing parameters Triscalar interactions One solution: af ~ Yf Sfermion mass O(1) CPV phases & flavor mixing ruled out by expt: “SUSY CP” & “SUSY flavor” problems How is SUSY broken? MSSM SUSY Breaking

  15. If nature conserves vertices have even number of superpartners • Lightest SUSY particle is stable viable dark matter candidate • Proton is stable • Superpartners appear only in loops SUSY and R Parity Consequences

  16. Vertex & External leg Kurylov, RM, Su SUSY Radiative Corrections Propagator Box

  17. muon decay The  parameter: Weak mixing: Can impose constraints from global fits to EWPO via S,T,U-dependence of these quantities Universal Corrections G.B. Propagators

  18. Correlated Radiative Corrections total

  19. dksusy T dmVB S Pgg+PgZ e-anapole Correlated Radiative Corrections

  20. “Superpotential” : a convenient way to derive supersymmetric interactions by taking derivatives w.r.t. scalar fields Li, Qi SU(2)L doublets Ei, Ui, Di SU(2)L singlets R-Parity Violation (RPV) L=1 WRPV = ijk LiLjEk + ijk LiQjDk +/i LiHu + ijkUiDjDk B=1 proton decay: Set ijk =0

  21. No SUSY DM: LSP unstable • Neutrinos are Majorana 12k 1j1 12k 1j1 L=1 L=1 Four-fermion Operators

  22. 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

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

  24. Present universe Early universe ? ? Bm->e R = Bm->eg Weak scale Planck scale Lepton Flavor & Number Violation MEG: Bm->eg ~ 5 x 10-14 Mu2e: Bm->e ~ 5 x 10-17 Also PRIME

  25. 0nbb decay Light nM exchange ? m->eg m->e LFV Probes of RPV: LFV Probes of RPV: Heavy particle exchange ? lk11/ ~ 0.09 for mSUSY ~ 1 TeV lk11/ ~ 0.008 for mSUSY ~ 1 TeV Low scale LFV: R ~ O(1) GUT scale LFV: R ~ O(a) Lepton Flavor & Number Violation Raidal, Santamaria; Cirigliano, Kurylov, R-M, Vogel MEG: Bm->eg ~ 5 x 10-14 Logarithmic enhancements of R Mu2e: Bm->e ~ 5 x 10-17

  26. 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

  27. 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

  28. New Z Bosons • E6 Paradigm • PVES Sensitivity • LHC Probes (Petriello & Quackenbush) • PV Moller vs LHC • Erler & R-M, Prog. Nuc. Part. Phys. 54 (2005) 351 • R-M, Phys. Rev. C60 (1999) 015501 • Petriello & Quackenbush (in prog)

  29. Probing Z’ with PVES Heterotic string motivated Z’

  30. Probing Z’ with PVES PV Sensitivities

  31. Probing Z’ with PVES: Kinetic Mixing Erler & Langacker PRL 84:212 (2000) PV Sensitivities 1 90% CL

  32. Probing Z’ : PVES & LHC Petriello & Quackenbush

  33. Probing Z’ : PVES & LHC Petriello & Quackenbush

  34. Probing Z’ : PVES & LHC Petriello & Quackenbush

  35. Probing Z’ : PVES & LHC Petriello & Quackenbush

  36. Leptoquarks: “Last Resort” • General Classification • PVES Sensitivity • GUT Example: LQ’s & m • LHC & Low Energy Probes • R-M, Phys. Rev. C60 (1999) 015501 • Erler, Kurylov, R-M, Phys Rev. D68 (2003) 034016 • Fileviez Perez, Han, Li, R-M, 0810.4238

  37. 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:

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

  39. 4% QWp (MLQ=100 GeV) Probing Leptoquarks with PVES PV Sensitivities Fileviez Perez, Han, Li, R-M 0810.4238

  40. LHC & Low Energy Probes LQ & backgrounds Flavor tagging & hierarchy Fileviez Perez, Han, Li, R-M 0810.4238

  41. LHC & Low Energy Probes Rare Processes Leading channel Fileviez Perez, Han, Li, R-M 0810.4238

  42. Lepton Number Violation • Doubly Charged Scalars: LRSM & SU(5) • Moller Sensitivity • Decay

  43. ++ (also LRSM) Decay PV Moller hee hee PVES &  Decay See saw & doubly charged Higgs

  44. QWP, APV Isotope Ratios, & Boxes

  45. Conclusions PVES & APV are key tools in the search for the new Standard Model at the precision frontier • SUSY • Z’ • Leptoquarks • Doubly Charged Scalars Important to compare results from a variety of experiments and continue to push the state of the art (theory & expt) in the LHC era

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