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

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

3. 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) Yukawa Unification & Soft SUSY breaking

4. Title of talk4 Albright, Anderson, Babu, Barr, Barbieri, Berezhiani, Blazek, Carena, Chang, Dermisek, Dimopoulos, Hall, Masiero, Murayama, Pati, Raby, Romanino, Rossi, Starkman, Wagner, Wilczek, Wiesenfeldt, Willenbrock Possible UV completion to strings !! Effective higher dimension operators, Small reps + Many predictions !! Hierarchical SO(10) Yukawas

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. MSO 10 SM Fit t,b,tau requires TM

7. Roughly ½ comes From RG running from Radiative EWSB requires 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. Gauge coupling unification Yukawa unification Inverted scalar mass hierarchy Bagger, Feng, Polonsky & Zhang PLB473, 264 (2000) Suppresses flavor & CP violation Nucleon decay MSO 10 SM TM

10. MSO 10 SM 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 Z 3 xZ 2 orbifold ( Kobayashi, Raby & Zhang, PLB 593, 262 (2004) & NPB 704, 3 (2005) ) TM

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

12. Results 1. Dark Matter & WMAP 2. B s -> 3. Light Higgs mass - m h 4. Upper bound on m A Lower bound on BR(B s -> )

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

14. Results - m 16 & m A fixed Green band consistent with WMAP Light Higgs mass contours

15. Br( B s -> ) SM : 3 x 10 -9 MSSM : ~ tan 6 /m A 4 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 talk16

17. Results - m 16 & m A fixed Constant B s -> contours Constant contours

18. Light Higgs mass |A t | increasesm h decreases Carena, Quiros & Wagner 95

19. Light Higgs mass Needed to fit data M 1/2 increases -A t increases m h decreases

20. Light Higgs mass contours

21. m A [max] Br[ B s -> ][min] Fermilab ??

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

23. Summary - MSO 10 SM 1. Gauge & Yukawa unification 2. Suppresses flavor & CP viol. & N decay 3. Dark Matter consistent w/WMAP 4. 114 < m h < 121 GeV 5. m A < 1.3 TeV BR(B s -> ) > 10 -8 TM

24. 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] Varying BCs at M GUT 3 rd Family only

25. 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 Varying BCs at M GUT 3 rd Family only

26. Altmannshofer, Guadagnoli, Raby & Straub PLB 668, 385 (2008) Varying BCs at M GUT 3 rd Family only Bottom line Good fits with 10 – 20 % top – bottom Yukawa splitting & m 16 = 7 TeV Observable stop, gauginos and Higges at LHC !

27. Baer, Kraml & Sekmen arXiv:0908.0134 [hep-ph] D term splitting & Varying BCs at M GUT 3 rd Family only Bottom line Good fits with Yukawa unification and m 16 = 10 TeV or greater Observable gauginos and light Higgs at LHC smoking gun : light sbottom mixing

28. Guadagnoli, Raby & Straub arXiv:0907.4709 [hep-ph] Varying BCs at M GUT 3 rd Family only Bottom line Good fits with m 16 = 4 TeV or greater Observable stop, gauginos and light Higgs

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

30. 3 family SO 10 SUSY Model D 3 x U(1) Family Symmetry Superpotential Yukawa couplings analysis Charged fermion masses & mixing Neutrino masses & mixing

31. Title of talk31 Superpotential for charged fermion Yukawa couplings Familon VEVs assumed

32. Title of talk32 SO(10) x [ D 3 x U(1) family sym. ] Yukawa Unification for 3 rd Family Dermisek & Raby PLB 622:327 (2005). 7 real paras + 4 phases + 3 real Majorana Neutrino masses

33. Title of talk33 Effective higher dimension operators

34. Title of talk34 Extend to neutrino sector Assume 3 new real paras

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36. Title of talk36 Using 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

37. Title of talk37 compared to SM - 27 parameters CMSSM - 32 parameters 24 parameters at GUT scale Global analysis

38. Title of talk38 Global 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)

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41. Title of talk41 Results for

42. Title of talk42 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 & b s l + l - m 16 ~ 10 TeV

43. Title of talk43 bs What is the tension ?

44. Title of talk44 Belle arXiv:0904.0770 However …

45. Title of talk45 Albrecht et al. JHEP 0710:055 (2007)

46. Title of talk46 MSO 10 SM & Large tan( ) Fits WMAP Predicts light Higgs with mass of order 120 – 130 GeV Predicts lighter 3 rd and heavy 1 st & 2 nd gen. squarks and sleptons (inverted scalar mass hier.) LFV bounds satisfied Enhances Br[ B s ] Suppresses Br( B ) & M B s B X s, X s l + l - tension ?? LHCb

47. Title of talk47 MSO 10 SM & Large tan( ) predicts light gluinos ~ 300 – 500 GeV predicts light charginos and neutralinos LHC MSO 10 SM : Beautiful symmetry Many experimental tests !!

48. Title of talk48 Backup slides

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53. Title of talk53 Balazs & Dermisek JHEP 0306:024 (2003) Gaugino mediated SUSY breaking Observable sleptons, neutralino & light higgs ?? Heavy gluino & squarks

54. Title of talk54 Altmannshofer, Guadagnoli, Raby & Straub PLB 668, 385 (2008) 3 rd family only with

55. Title of talk55 Baer, Kraml & Sekmen arXiv:0908.0134 D term Higgs splitting & DR3

56. Title of talk Guadagnoli, Raby & Straub arXiv:0907.4709 [hep-ph] A term & Just so Higgs splitting