Threshold Corrections to Baryon Number Violating Operators in Supersymmetric SU(5) GUTs

Abstract

The nucleon decay is a significant phenomenon to verify grand unified theories (GUTs). For the precise prediction of the nucleon lifetime induced by the gauge bosons associated with the unified gauge group, it is important to include the renormalization effects on the Wilson coefficients of the dimension-six baryon number violating operators. In this study, we have derived the threshold corrections to these coefficients at the one-loop level in the minimal supersymmetric SU(5) GUT and the extended one with additional SU(5) vector-like pairs. As a result, it is found that the nucleon decay rate is enhanced about 5% in the minimal setup, and then the enhancement could become smaller in the vector-like matter extensions.

31pages, 8 figures, Version accepted for publication in Nuclear Physics B; Errors in our numerical code and typos are fixed in version 4

References in corpus (10)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Search for direct production of charginos, neutralinos and sleptons in final states with two leptons and missing transverse momentum in pp collisions at sqrt(s) = 8 TeV with the ATLAS detector
• Search for squarks and gluinos with the ATLAS detector in final states with jets and missing transverse momentum using $\sqrt{s}=8$ TeV proton--proton collision data
• Searches for electroweak production of charginos, neutralinos, and sleptons decaying to leptons and W, Z, and Higgs bosons in pp collisions at 8 TeV
• Search for top squark pair production in final states with one isolated lepton, jets, and missing transverse momentum in $\sqrt{s}=$ 8 TeV pp collisions with the ATLAS detector
• Search for Proton Decay via $p\to \nu K^{+}$ using 260 kiloton$\cdot$year data of Super-Kamiokande
• Searches for electroweak neutralino and chargino production in channels with Higgs, Z, and W bosons in pp collisions at 8 TeV
• Searches for supersymmetry based on events with b jets and four W bosons in pp collisions at 8 TeV
• Enhancement of Proton Decay Rates in Supersymmetric SU(5) Grand Unified Models

Cited by in corpus (7)

• Improved lattice computation of proton decay matrix elements
• Threshold Corrections to Dimension-six Proton Decay Operators in Non-minimal SUSY SU(5) GUTs
• A Minimal SU(5) SuperGUT in Pure Gravity Mediation
• Flavor physics induced by light $Z^{\prime }$ from SO(10) GUT
• Toward Realistic Gauge-Higgs Grand Unification
• Light Higgsino for Gauge Coupling Unification
• Two-loop Anomalous Dimensions for Four-Fermi Operators in Supersymmetric Theories