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

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

Blazek, Dermisek & Raby PRL 88, (2002) PRD 65, (2002) Baer & Ferrandis, PRL 87, (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

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

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 !!

MSO 10 SM Fit t,b,tau requires TM

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

BDR Just so Baer, Kraml & Sekmen arXiv: DR3

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

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

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

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 -> )

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

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

Br( B s -> ) SM : 3 x MSSM : ~ tan 6 /m A 4 DZero < 4.7 x (95% CL) w/ 5.0 fb -1 expected sensitivity CDF bound < 4.3 x (95% CL) w/ 3.7 fb -1

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

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

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

Light Higgs mass contours

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

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

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

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

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 !

Baer, Kraml & Sekmen arXiv: [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

Guadagnoli, Raby & Straub arXiv: [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

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

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

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

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

Title of talk33 Effective higher dimension operators

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

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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

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

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, (2006)

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Title of talk41 Results for

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

Title of talk43 bs What is the tension ?

Title of talk44 Belle arXiv: However …

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

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

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 !!

Title of talk48 Backup slides

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

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

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

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