Recent Progress in SUSY GUTsRecent Progress in SUSY GUTs

K.S. BabuK.S. BabuOklahoma State UniversityOklahoma State University

ICHEP 2010ICHEP 2010

Palaise des Congres, ParisPalaise des Congres, Paris

July 22-28, 2010July 22-28, 2010

Outline

Motivations/Evidences favoring GUTs

Standard Model SO(10)

Structure of Matter Multiplets

Standard Model MSSM

Evolution of Gauge Couplings

Gauge coupling evolution in explicit SO(10) model

Very Close to the GUT scale

from atmospheric neutrino oscillation data

Leptogenesis via R decay explains cosmological baryon asymmetry

Neutrino masses and the scale of new physics

Finding order in fermion mass spectrum

Matter multiplets:

Higgs:

Yukawa Couplings

Contain color triplets

Georgi, Glashow (1974)Minimal SU(5) GUT

MSSM Higgs doublets have color triplet partners in GUTsMSSM Higgs doublets have color triplet partners in GUTs

must remain lightmust remain light

must have GUT scale mass to prevent rapid must have GUT scale mass to prevent rapid proton decayproton decay

Doublet-triplet splitting

Even if color triplets have GUT scale Even if color triplets have GUT scale mass, d=5 proton decay is problematicmass, d=5 proton decay is problematic

The GOODThe GOOD

(1)(1) Predicts unification of couplingsPredicts unification of couplings

(2)(2) Uses economic Higgs sectorUses economic Higgs sector

The BADThe BAD

(1)(1) Unnatural fine tuningUnnatural fine tuning

(2)(2) Large proton decay rateLarge proton decay rate

FINE-TUNED TO O(MW)

Doublet-Triplet splitting in SUSY SU(5)

Nucleon decay in SUSY GUTs

Hisano, Murayama, Yanagida (1993)Nath, Perez, Phys. Rept. (2007)

Higgsino Exchange:Higgsino Exchange: Sakai, Yanagida (1982)

Weinberg (1982)

SUSY SO(10) Models

contains contains

Model has only 11 real parameters plus 7 phases

Higgs: Automatic R-parity

SUSY SO(10) Model with 126-plet

Babu, Mohapatra (1993)Bajc, Melfo, Senjanovic, Vissani (2004)Fukuyama, Ilakovac, Kikuchi, Meljanac, Okada (2004)Aulakh et al (2004)

Bertolini, Frigerio, Malinsky (2004)Babu, Macesanu (2005)Dutta, Mimura, Mohapatra (2007)Bajc, Dorsner, Nemevsek (2009)

Fit Input at GUT scale

Output: Type II Seesaw

Babu, Macesanu (2005)

Specific Example for Quark & Lepton masses

Global fit to fermion masses in minimal SO(10)

Bertolini, Malinsky, Schwetz (2006)

(Dimopoulos-Wilczek mechanism)

SUSY SO(10) with natural doublet-triplet splitting

Dimopoulos, Wilczek (1981)Babu, Barr (1993)Barr, Raby (2000)

Babu, Pati, Tavartkiladze (2010)

Babu, Pati, Tavartkiladze (2010)

Babu, Pati, Wilczek (2000)

Fermion masses and mixings

Postdictions/Predictions

Complete SO(10) Model

Doublet-triplet mass matrix

GUT scale threshold corrections

Correlation between d = 5 and d= 6 proton decay

Proton Lifetime Predictions

Proton lifetime expectations

Summary and Conclusions