New minimal supersymmetric GUT emergence and sub-Planckian renormalization group flow

2015/09/30 by Charanjit S. Aulakh, Ila Garg, Charanjit K. Khosa
Physics and Astronomy · #Black Holes and Theoretical Physics #Electroweak interaction #Electroweak scale #Gaugino #Grand Unified Theory #Higgs boson #Mathematical physics #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics beyond the Standard Model #Renormalization group #Supergravity #Superpotential #Supersymmetry #Theoretical physics #Yukawa potential #hep-ph

paper · pdf · doi:10.1103/physrevd.98.075006

published as Phys. Rev. D 98, 075006 (2018) · 36 pages, 1 Figure, 4 Tables, 77 equations, 42 references, RevTeX4 PDFLateX. Version published in Phys. Rev. D

openalex created_date 2016/06/24 · openalex publication_date 2018/10/10 · arxiv created 2018/10/22 · arxiv updated 2018/10/23 · openalex updated_date 2026/08/05

Abstract

Consistency of trans-unification renormalization group (RG) evolution is used to discuss the domain of definition of the New Minimal Supersymmetric SO(10)GUT (NMSGUT). We define the 1-loop RGE \ensuremathβ functions, simplifying generic formulae using constraints of gauge invariance and superpotential structure. We also calculate the 2 loop contributions to the gauge coupling and gaugino mass and indicate how to get full 2 loop results for all couplings. Our method overcomes combinatorial barriers that frustrate computer algebra based attempts to calculate SO(10) \ensuremathβ functions involving large irreps. Use of the RGEs identifies a perturbative domain Q<M_E, where M_E<M_Planck is the scale of emergence where the NMSGUT, with GUT compatible soft supersymmetry breaking terms emerges from the strong UV dynamics associated with the Landau poles in gauge and Yukawa couplings. Due to the strength of the RG flows the Landau poles for gauge and Yukawa couplings lie near a cutoff scale \mathrm\ensuremathΛ_E for the perturbative dynamics of the NMSGUT which just above M_E. SO(10) RG flows into the IR are shown to facilitate small gaugino masses and generation of negative Non Universal Higgs masses squared needed by realistic NMSGUT fits of low energy data. Running the simple canonical theory emergent at M_E through M_X down to the electroweak scale enables tests of candidate scenarios such as supergravity based NMSGUT with canonical kinetic terms and NMSGUT based dynamical Yukawa unification.

Citations

• Improved predictions for top quark, lightest supersymmetric particle, and Higgs scalar masses
• Violations of lepton flavour and CP in supersymmetric unified theories
• Pinning down the new minimal supersymmetric GUT
• Two-loop effective potential for the minimal supersymmetric standard model
• Infra-red fixed points revisited
• Black holes and large N species solution to the hierarchy problem
• Unity of All Elementary-Particle Forces
• Lepton number as the fourth "color"