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K.S. Babu Oklahoma State University. “International Workshop on Grand Unified Theories: Current Status and Future Prospects” Ritsumeikan University, Kusatsu, Shiga December 17-19, 2007. K.S. Babu, J.C. Pati, Z. Tavartkiladze (2007). Outline. Motivation/ “Evidence” favoring SO(10) GUT

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slide1

K.S. Babu

Oklahoma State University

“International Workshop on Grand Unified Theories: Current Status and Future Prospects”

Ritsumeikan University, Kusatsu, Shiga

December 17-19, 2007

K.S. Babu, J.C. Pati, Z. Tavartkiladze (2007)

slide2

Outline

  • Motivation/“Evidence” favoring SO(10) GUT
  • Doublet-Triplet Splitting Issues:
  • Dimopoulos-Wilczek Mechanism
  • Stability of VEV structure
  • Absence of pseudo-Goldsone bosons
  • GUT threshold corrections and unification
  • Proton decay
  • d=5 and d=6 proton decay rates
  • Correlation between the two
  • Conclusions
slide7

Evolution of gauge couplings

Standard Model

Supersymmetry

slide9

GUT gauge groups

  • SU(5)
  • SO(10)
  • E6
  • E8
  • [SU(3)]3
  • [SU(5)]2
  • [SU(3)]4
slide10

Minimal SUSY SU(5) GUT

Matter multiplets:

Higgs:

Contain color triplets

Yukawa Couplings

slide11

MSSM Higgs doublets have color triplet partners in GUTs

must remain light

must have GUT scale mass to prevent rapid proton decay

Doublet-triplet splitting

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

slide12

Doublet-triplet splitting in SU(5)

FINE-TUNED TO O(MW)

  • The GOOD
  • Predicts unification of couplings
  • Uses economic Higgs sector
  • The BAD
  • Unnatural fine tuning
  • Large proton decay rate
slide13

Realistic SO(10) model without fine-tuning

Babu, Pati, Wilczek (1998)

Barr, Raby (1997)

Babu, Pati, Tavartkiladze (2007)

Economic Higgs system

slide14

Dimopoulos-Wilczek mechanism

Dimopoulos, Wilczek (1981)

Babu, Barr (1993)

B-L VEV gives mass to triplets only

If 10H only couples to fermions, no d=5 proton decay

Doublets from and light

4 doublets, unification upset

Add mass term for 10’H

slide20

Spectrum of doublets and triplets

Spectrum heavy states from 45

slide23

Threshold corrections

Weak scale threshold

slide24

Hisano, Murayama, Yanagida (1993)

Hisano, Moroi, Tobe, Yanagida (1995)

GUT scale threshold

slide33

Higgsino mediated d=5 proton decay

Sakai, Yanagida (1982)

Weinberg (1982)