2015
DOI: 10.1103/physrevd.91.055027
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SU(5) grand unification in pure gravity mediation

Abstract: We discuss the proton lifetime in pure gravity mediation models with nonuniversal Higgs soft masses. Pure gravity mediation offers a simple framework for studying SU(5) grand unified theories with a split supersymmetry like spectra. We find that for much of the parameter space gauge coupling unification is quite good leading to rather long lifetimes for the proton. However, for m 3/2 ∼ 60 TeV and tan β ∼ 4, for which gauge coupling unification is also good, the proton lifetime is short enough that it could be … Show more

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Cited by 31 publications
(45 citation statements)
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“…The exchange of the GUTscale gauge bosons can also induce proton decay, but this contribution is usually subdominant because of the large GUT scale in supersymmetric GUTs. The strong constraint from the p → K + ν decay may, however, be evaded if the masses of supersymmetric particles are well above the electroweak scale [63,108,[119][120][121][122][123][124]. In addition, it turns out that the p → K + ν decay mode depends sensitively on the extra phases in the GUT Yukawa couplings [125], which can suppress the proton decay rate, as we discuss in this section.…”
Section: Proton Decay and Gut-scale Phasesmentioning
confidence: 99%
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“…The exchange of the GUTscale gauge bosons can also induce proton decay, but this contribution is usually subdominant because of the large GUT scale in supersymmetric GUTs. The strong constraint from the p → K + ν decay may, however, be evaded if the masses of supersymmetric particles are well above the electroweak scale [63,108,[119][120][121][122][123][124]. In addition, it turns out that the p → K + ν decay mode depends sensitively on the extra phases in the GUT Yukawa couplings [125], which can suppress the proton decay rate, as we discuss in this section.…”
Section: Proton Decay and Gut-scale Phasesmentioning
confidence: 99%
“…For more details of the proton decay calculation, see Refs. [63,108,119,124] and the appendix. In supersymmetric models, the largest contribution to the decay rate of the proton is determined by the dimension-five effective operators generated by integrating out the coloured Higgs multiplets [116][117][118],…”
Section: Proton Decay and Gut-scale Phasesmentioning
confidence: 99%
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“…All of these choices tend to decrease the proton lifetime to unacceptably small values [58]. In order to reconcile the proton lifetime with the relic density and Higgs mass, we need to consider lower values of tan β [38,58,67], which can be accomplished when the GM terms (9) are included [46][47][48]68]. The soft supersymmetry breaking parameters are evolved down from M in to M GUT using the renormalization-group equations (RGEs) of the minimal supersymmetric SU(5) GUT, which can be found in [57,59,[70][71][72][73], with appropriate changes of notation.…”
Section: Vacuum Conditions and Renormalization-group Equationsmentioning
confidence: 99%
“…Similarly, we define sepa- 11 Details of the calculation of proton decay rates can be found in Refs. [38,58,67,94,95]. Here, we have take the phases in the GUT Yukawa couplings [96] such that the proton decay rate is minimized [58], which gives a conservative constraint on the model parameter space.…”
Section: Twisted H and H Higgs Fieldsmentioning
confidence: 99%