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Stuart Raby

Testing an SO(10) SUSY GUT + Family Symmetry. Stuart Raby. 2009 Workshop on Lepton and Baryon Number Violation U. Wisconsin, Madison September 22, 2009. Outline. Minimal SO(10) SUSY Model 3 rd family only changing BCs at M GUT

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Stuart Raby

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  1. Testing an SO(10) SUSY GUT + Family Symmetry Stuart Raby 2009 Workshop on Lepton and Baryon Number Violation U. Wisconsin, Madison September 22, 2009

  2. Outline • Minimal SO(10) SUSY Model • 3rd family only • changing BCs at MGUT • SO(10) + Family Symmetry • 3 family model • Conclusions

  3. Yukawa Unification & Soft SUSY breaking Blazek, Dermisek & Raby PRL 88, 111804 (2002) PRD 65, 115004 (2002) Baer & Ferrandis, PRL 87, 211803 (2001) Auto, Baer, Balazs, Belyaev, Ferrandis & Tata JHEP 0306:023 (2003) Tobe & Wells NPB 663, 123 (2003) Dermisek, Raby, Roszkowski & Ruiz de Austri JHEP 0304:037 (2003) JHEP 0509:029 (2005) Baer, Kraml, Sekmen & Summy JHEP 0803:056 (2008) JHEP 0810:079 (2008)

  4. Hierarchical SO(10) Yukawas Albright, Anderson, Babu, Barr, Barbieri, Berezhiani, Blazek, Carena, Chang, Dermisek, Dimopoulos, Hall, Masiero, Murayama, Pati, Raby, Romanino, Rossi, Starkman, Wagner, Wilczek, Wiesenfeldt, Willenbrock Effective higher dimension operators, Small rep’s + Many predictions !! Possible UV completion to strings !! Title of talk

  5. Note, CANNOT predict top mass due to large SUSY threshold corrections to bottom and tau mass So instead use Yukawa unification to predict soft SUSY breaking masses !!

  6. MSO10SM TM Fit t,b,tau requires

  7. Radiative EWSB requires Roughly ½ comes From RG running from Blazek, Dermisek & Raby “Just so” Note, this is difficult in bottom – up approach !!

  8. BDR “Just so” Baer, Kraml & Sekmen arXiv:0908.0134 “DR3”

  9. MSO10SM TM • Gauge coupling unification • Yukawa unification • Inverted scalar mass hierarchy Bagger, Feng, Polonsky & Zhang PLB473, 264 (2000) • Suppresses flavor & CP violation • Nucleon decay

  10. MSO10SM TM Extend to 3 family model in 4D ( Dermisek & Raby PLB 622, 327 (2005).) Extend to orbifold GUT in 5D ( HD Kim, Schradin & Raby, JHEP 0301, 056 (2003) & JHEP 0505, 036 (2005)) Extend to heterotic string in 10D compactified on Z3xZ2 orbifold ( Kobayashi, Raby & Zhang, PLB 593, 262 (2004) & NPB 704, 3 (2005))

  11. c2analysis - 3rd family Dermisek, Raby, Roszkowski and Ruiz de Austri JHEP 09 (2005) 029 11 Parameters : 9 Observables ( included in c2) :

  12. Results • Dark Matter & WMAP • Bs -> m+ m- • Light Higgs mass - mh • Upper bound on mA • Lower bound on BR(Bs -> m+ m-)

  13. Dark Matter & WMAP Neutralino LSP A : broad resonance, mA arbitrary

  14. Results - m16 & mA fixed Green band consistent with WMAP Light Higgs mass contours

  15. Br( Bs -> m+ m- ) SM : 3 x 10-9 MSSM : ~ (tan b)6 /mA4 DZero < 4.7 x 10-8 (95% CL) w/ 5.0 fb-1 “expected sensitivity” CDF bound < 4.3 x 10-8 (95% CL) w/ 3.7 fb-1

  16. Title of talk

  17. Results - m16 & mA fixed Constant c2 contours Constant Bs -> m+ m- contours

  18. Light Higgs mass Carena, Quiros & Wagner ‘95 |At| increases mh decreases

  19. Light Higgs mass Needed to fit data -At increases M1/2 increases mh decreases

  20. Light Higgs mass contours

  21. mA[max] Br[ Bs -> m+ m-][min] Fermilab ??

  22. Dermisek, Raby, Roszkowski and Ruiz de Austri JHEP 09 (2005) 029 Top - Down Baer, Kraml, Sekmen and Summy JHEP 03 (2008) 056 Bottom – Up and Down and Up …

  23. TM Summary - MSO10SM • Gauge & Yukawa unification • Suppresses flavor & CP viol. & N decay • Dark Matter consistent w/WMAP • 114 < mh < 121 GeV • mA < 1.3 TeV • BR(Bs -> m+ m-) > 10-8

  24. Varying BCs at MGUT 3rd Family only Balazs & Dermisek JHEP 0306:024 (2003) non universal gaugino masses Altmannshofer, Guadagnoli, Raby & Straub PLB 668, 385 (2008) Baer, Kraml & Sekmen arXiv:0908.0134 [hep-ph] D term splitting & Guadagnoli, Raby & Straub arXiv:0907.4709 [hep-ph]

  25. Varying BCs at MGUT 3rd Family only Balazs & Dermisek JHEP 0306:024 (2003) non universal gaugino masses (gauginoMSB) squark & slepton masses zero at GUT scale Bottom line Heavy squarks and gluinos Possibly light sleptons, neutralinos and light Higgs

  26. Varying BCs at MGUT 3rd Family only Altmannshofer, Guadagnoli, Raby & Straub PLB 668, 385 (2008) Bottom line Good fits with 10 – 20 % top – bottom Yukawa splitting & m16 = 7 TeV Observable stop, gauginos and Higges at LHC !

  27. Varying BCs at MGUT 3rd Family only Baer, Kraml & Sekmen arXiv:0908.0134 [hep-ph] D term splitting & Bottom line Good fits with Yukawa unification and m16 = 10 TeV or greater Observable gauginos and light Higgs at LHC smoking gun : light sbottom mixing

  28. Varying BCs at MGUT 3rd Family only Guadagnoli, Raby & Straub arXiv:0907.4709 [hep-ph] Bottom line Good fits with m16 = 4 TeV or greater Observable stop, gauginos and light Higgs

  29. 3 Family SO(10) + family symmetry Dermisek & Raby PLB 622:327 (2005). Dermisek, Harada & Raby PRD74, 035011 (2006) Albrecht, Altmannshofer, Buras, Guadagnoli & Straub JHEP 0710:055 (2007)

  30. 3 family SO10 SUSY Model • D3 x U(1) Family Symmetry • Superpotential • Yukawa couplings • c2 analysis • Charged fermion masses & mixing • Neutrino masses & mixing

  31. Superpotential for charged fermion Yukawa couplings Familon VEVs assumed Title of talk

  32. SO(10) x [ D3 x U(1) family sym. ] Yukawa Unification for 3rd Family 7 real para’s + 4 phases + 3 real Majorana Neutrino masses Dermisek & Raby PLB 622:327 (2005). Title of talk

  33. Effective higher dimension operators Title of talk

  34. Extend to neutrino sector Assume 3 new real para’s Title of talk

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  36. Using c2 analysis, fit • 15 charged fermion & 4 neutrino • low energy observables with • 11 arbitrary Yukawa & 3 Majorana mass parameters • 4 & 1 d. o. f. or 5 predictions Title of talk

  37. Global c2 analysis 24 parameters at GUT scale comparedto SM - 27 parameters CMSSM - 32 parameters Title of talk

  38. Global c2 analysis – good fits to • charged fermion masses & mixing angles • neutrino masses & mixing angles • naturally satisfies Lepton Flavor Violation and electron electric dipole moment bounds • Dermisek, Harada & Raby • PRD74, 035011 (2006) Title of talk

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  41. Results for 7 <c2 < 8 Title of talk

  42. c2 analysis including B physics Albrecht, Altmannshofer, Buras, Guadagnoli, & Straub JHEP 0710:055 (2007) Find good fits to quark, charged lepton & neutrino masses and mixing angles & test flavor violation in b physics some tension between b  s g & b  s l+ l- m16 ~ 10 TeV Title of talk

  43. What is the tension ? b s g Title of talk

  44. However … Belle arXiv:0904.0770 Title of talk

  45. Albrecht et al. JHEP 0710:055 (2007) Title of talk

  46. MSO10SM & Large tan( b ) • Fits WMAP • Predicts light Higgs • with mass of order 120 – 130 GeV • Predicts lighter 3rd and heavy 1st & 2nd gen. squarks and sleptons (inverted scalar mass hier.) • LFV bounds satisfied • Enhances Br[ Bsm+ m-] • SuppressesBr( B t n ) & D MBs • B Xs g , Xs l+ l- tension ?? • LHCb Title of talk

  47. MSO10SM & Large tan( b ) • predicts light gluinos ~ 300 – 500 GeV • predicts light charginos and neutralinos • LHC MSO10SM : Beautiful symmetry Many experimental tests !! Title of talk

  48. Backup slides Title of talk

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