Elements of -ast proton decay

Abstract

Gauge coupling unification in the Minimal Supersymmetric Standard Model (MSSM) strongly suggests the existence of a Grand Unified Theory (GUT), which could be probed by the observation of proton decay. Proton lifetime in the p → (e|µ) + π 0 dimension six mode is proportional in the fourth power to the GUT mass scale, and inversely proportional in the fourth power to the GUT coupling. Flipped S U(5) with strict MSSM field content is known to survive existing null detection limits for proton decay approaching 10 34 years, and indeed, the lifetime predicted by prior studies can be so long that successful detection is not currently plausible. We provide an updated dictionary of solutions for the relevant flipped unification parameters with generic β-function coefficients, significantly upgrading the level of detail with which second order effects are treated, and correcting subtle published errors.Recently studied classes of F -theory derived GUT models postulate additional vector-like multiplets at the TeV scale which modify the renormalization group to yield a substantial increase in the S U(3) C × S U(2) L unified coupling. In conjunction with the naturally depressed F -lipped S U(5) partial unification mass M 32 , the F -resh analysis undertaken predicts comparatively F -ast proton decay which only narrowly evades existing detection limits, and likely falls within the observable range of proposed next generation detectors such as DUSEL and HyperKamiokande. The TeV-scale vector multiplets are themselves suitable for cross correlation by the Large Hadron Collider. Their presence moreover magnifies the gap between the dual mass scales of Flipped S U(5), allowing for an elongated second stage renormalization, pushing the F -inal grand unification to the doorstep of the reduced Planck mass.

Blueprints of the no-scale multiverse at the LHC

“…Most recently, we have studied No-Scale extensions of the prior in detail [45][46][47], emphasizing the essential role of the tripodal foundation formed by the F -lipped SU (5) GUT [31][32][33], two pairs of TeV scale vector-like multiplets with origins in F -theory [38,43,44,48] model building, and the boundary conditions of No-Scale Supergravity [22][23][24][25][26]. It appears that the No-Scale scenario, particularly vanishing of the Higgs bilinear soft term B µ , comes into its own only when applied at an elevated scale, approaching the Planck mass.…”

“…The predicted vector-like particles can be observed at the Large Hadron Collider, and the partial lifetime for proton decay in the leading (e|µ) + π 0 channels falls around 5 × 10 34 years, testable at the future Hyper-Kamiokande [53] and Deep Underground Science and Engineering Laboratory (DUSEL) [54] experiments [48,55]. The lightest CP-even Higgs boson mass can be increased [56], hybrid inflation can be naturally realized, and the correct cosmic primordial density fluctuations can be generated [57].…”

“…We ensure also that the unified gauge coupling, SM fermion Yukawa couplings, and specifically also the Higgs bilinear term µ ≃ 460 GeV, are each held stable at the scale M F to correctly mimic the previously described procedure. + π 0 modes is 2.5×10 31 −5.7×10 34 years [48]. If the GUT scale M 32 becomes excessively light, below about 7 × 10 15 GeV, then proton decay would be more rapid than allowed by the recently updated lower bound of 1.0 × 10 34 years from Super-Kamiokande [70].…”

LightestCP-even Higgs boson mass in the testable flippedSU(5)×U(1)Huo1, Li2, Nanopoulos3 et al. 2012Phys. Rev. DSelf Cite191220View full textAdd to dashboardCite

“…Moreover, such kind of models have been constructed locally from the F-theory model building [10,11], and are dubbed as F -SU(5) [11]. In particular, these models are very interesting from the phenomenological point of view [11]: the vector-like particles can be observed at the Large Hadron Collider (LHC), proton decay is within the reach of the future Hyper-Kamiokande [12] and Deep Underground Science and Engineering Laboratory (DUSEL) [13] experiments [14,15], the hybrid inflation can be naturally realized, and the correct cosmic primodial density fluctuations can be generated [16].…”

A flippon related singlet at the LHC II

“…Second, although the dimension-five proton decays mediated by colored Higgsinos are highly suppressed due to the missing partner mechanism and TeV-scale µ term, the dimension-six proton decays via the heavy gauge boson exchanges are within the reach of the future proton decay experiments such as the Hyper-Kamiokande experiment. This is due to the fact that the SU(3) C × SU(2) L gauge couplings are still unified at the traditional GUT scale while the unified gauge couplings become larger due to vector-like particle contributions [139,140]. This is in large contrast to the minimal flipped SU(5) × U(1) X model, whose proton lifetime is too lengthy for future proton decay experiments.…”