Couplings of Vector-Spinor Representation for SO(10) Model Building

Abstract

Higgs multiplet in the vector-spinor representations of SO(10), i.e., the $144+\overline{144}$ multiplet can break the SO(10) gauge symmetry spontaneously in one step down to the Standard Model gauge group symmetry $SU(3{)}_C\times SU(2{)}_L\times U(1{)}_Y$ and a recent analysis has used such vector-spinors for building a new class of SO(10) grand unification models (hep-ph/0506312) . Here we discuss the techniques for the computation of several classes of vector-spinor couplings using the Basic Theorem on the SO(2N) vertex expansion developed by the authors. The computations include the cubic couplings of the vector-spinors with SO(10) tensors, quartic self-couplings of the vector-spinors, and couplings of the vector-spinors with spinor representations of SO(10). The last set include couplings of vector-spinors with the 16-plets of quarks and lepton and with the 16 and $\overline{16}$ of Higgs. These couplings provide a crucial tool for further development of the SO(10) grand unification using vector-spinor representations. These include study of quark-lepton masses, analysis of dimension five operators including baryon and lepton number violating operators, and study of neutrino masses and mixings. Illustrative examples are given for their computation using a sample of vector-spinor couplings.

59 pages

References in corpus (10)

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• Massive Neutrinos and Flavour Violation
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Cited by in corpus (10)

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• Variety of SO(10) GUTs with Natural Doublet-Triplet Splitting via the Missing Partner Mechanism
• Yukawa Couplings and Quark and Lepton Masses in an SO(10) Model with a Unified Higgs Sector
• Suppression of Higgsino mediated proton decay by cancellations in GUTs and strings
• An Analysis of B-L=-2 Operators from Matter-Higgs Interactions in a Class of Supersymmetric SO(10) Models
• Corrections to Yukawa couplings from higher dimensional operators in a natural SUSY $\mathsf{SO}(10)$ and HL-LHC implications
• Couplings in Renormalizable Supersymmetric SO(10) Models
• High Energy Physics and Cosmology at the Unification Frontier: Opportunities and Challenges in the coming years
• SOSpin, a C++ library for Yukawa decomposition in SO(2N) models
• Using C++ to Calculate $\mathsf{SO}(10)$ Tensor Couplings