Baryon stability on the Higgs dissolution edge: threshold corrections and suppression of baryon violation in the NMSGUT

Abstract

Superheavy threshold corrections to the matching condition between matter Yukawa couplings of the effective Minimal Supersymmetric Standard Model (MSSM) and the New Minimal Supersymmetric (SO(10)) GUT(NMSGUT) provide a novel and generic mechanism for reducing the long standing and generically problematic operator dimension 5 Baryon decay rates. In suitable regions of the parameter space strong wave function renormalization of the effective MSSM Higgs doublets due to the large number of heavy fields can take the wave function renormalization of the MSSM Higgs field close to the dissolution value (Z H,H = 0). Rescaling to canonical kinetic terms lowers the SO(10) Yukawas required to match the MSSM fermion data. Since the same Yukawas determine the dimension 5 B violation operator coefficients, the associated rates can be suppressed to levels compatible with current limits. Including these threshold effects also relaxes the constraint y b −y τ ≃ y s −y µ operative between 10−120 plet generated tree level MSSM matter fermion Yukawas y f . We exhibit accurate fits of the MSSM fermion mass-mixing data in terms of NMSGUT superpotential couplings and 5 independent soft Susy breaking parameters specified at 10 16.25 GeV with the claimed suppression of Baryon decay rates. As before, our s-spectra are of the mini split supersymmetry type with large |A 0 |, µ, m H,H > 100 TeV, light gauginos and normal s-hierarchy. Large A 0 , µ and soft masses allow significant deviation from the canonical GUT gaugino mass ratios and ensure vacuum safety. Even without optimization, prominent candidates for BSM discovery such as the muon magnetic anomaly, b → sγ and Lepto-genesis CP violation emerge in the preferred ball park. 1 aulakh@pu.ac.in ; http://physics.puchd.ac.in/aulakh/

A minimal supersymmetric E6 unified theory

“…An indication of problems being present already at the matching scale M GUT can be found in the calculation of the threshold corrections [40,41]. The general problem of having large numbers of degrees of freedom (in our case through large representations) and the associated non-perturbativity is a problem, which is far from easy to solve and well beyond the purpose of this paper, although some progress has been made recently [42,43] based on previous works on Seiberg dualities.…”

SO(10) grand unified theories with dynamical Yukawa couplings

“…SO(10) GUTs based on the 210 ⊕ 126 ⊕ 126 Higgs system [2,3] are parameter counting minimal [4]. The version called the new minimal supersymmetric SO(10) grand unified theory (NMSGUT) with the 120-plet fits [5][6][7] all fermion masses and makes distinctive predictions and is thus falsifiable.…”

“…It also predicts a normal s-hierarchy, Bino LSP and can yield a light smuon as the next to lightest supersymmetric particle(NLSP), thus promoting a Bino as a good dark matter candidate and making a significant supersymmetric contribution to the muon magnetic moment anomaly. Recently, we showed that careful attention to the quantum communication between the UV completion and its effective theory through the light Higgs portal yields natural and generic suppression of fast proton decay in supersymmetric(SUSY) GUTs [7].…”

“…Given that the main hint for flavour unification is the convergence of third generation Yukawas at GUT scales, Yukawon models with flavour symmetry broken at the GUT scale are well motivated. Our work [2,[4][5][6][7]10] on realistic renormalizable supersymmetric SO(10) GUTs -which encodes the fermion hierarchy in the SO(10) matter fermion Yukawa matrices and pays careful attention to how the minimal supersymmetric SM (MSSM) Higgs emerges from the multiple MSSM type doublets present in the UV theory-also naturally and minimally identifies the associated Higgs multiplets as candidate Yukawon multiplets. It thus yields a novel mechanism whereby the fermion hierarchy could emerge from a flavour symmetric and renormalizable GUT .…”

“…As we shall see, the consistency conditions for the maintainability of the Higgs portal to the UV completion of the MSSM play a central role in determining just how the peculiarly lopsided and "senseless" fermion hierarchy is produced from the flavour symmetric and grand unified UV completion. In our [2,[4][5][6][7] minimal SUSY GUTs, we eschew invocation of discrete symmetries and insist only upon following the logic of SO (10) The plan of this paper is as follows: In Section II we explain the basic mechanism of generation of Flavor hierarchy by enforcement of the masslessness of MSSM Higgs. In Section III we discuss the spontaneous symmetry breaking of the GUT and flavor symmetries.…”