Yukawa ratio predictions in non-renormalizable SO(10) GUT models
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Springer
Received: December 17, 2019 Accepted: January 25, 2020 Published: February 13, 2020
Stefan Antusch, Christian Hohl and Vasja Susiˇ c Department of Physics, University of Basel, Klingelbergstr. 82, CH-4056 Basel, Switzerland
E-mail: [email protected], [email protected], [email protected] Abstract: Since SO(10) GUTs unify all fermions of the Standard Model plus a right-chiral neutrino in a representation 16 per family, they have the potential to be maximally predictive regarding the ratios between the masses (or Yukawa couplings) of different fermion types, i.e. the up-type quarks, down-type quarks, charged leptons and neutrinos. We analyze the predictivity of classes of SO(10) (SUSY) GUT models for the fermion mass ratios, where the Yukawa couplings for each family are dominated by a single effective GUT operator of the schematic form 162 · 45n · 210m · H, for H ∈ {10, 120, 126}. This extends previous works to general vacuum expectation value directions for GUT-scale VEVs and to larger Higgs representations. In addition, we show that the location of the MSSM Higgses in the space of all doublets is a crucial aspect to consider. We discuss highly predictive cases and illustrate the predictive power in toy models consisting of masses for the 3rd and 2nd fermion family. Keywords: GUT, Beyond Standard Model ArXiv ePrint: 1911.12807
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP02(2020)086
JHEP02(2020)086
Yukawa ratio predictions in non-renormalizable SO(10) GUT models
Contents 1 Introduction
1 3 8 14
3 MSSM Higgs location 3.1 General considerations 3.2 Tools for computing DT splitting 3.3 Discussion and the most predictive cases
18 18 20 25
4 Prescriptions for model building 4.1 General considerations 4.2 Toy models 4.2.1 Example 1: discrete VEV directions and predictive DT 4.2.2 Example 2: arbitrary VEV direction and predictive DT 4.2.3 Example 3: discrete VEV directions and less-predictive DT
28 28 31 33 35 38
5 Conclusions
41
A Conventions for SO(10) invariants
43
B Construction of operators via mediators
48
1
Introduction
Grand Unified Theories (GUTs) present an attractive framework for physics Beyond the Standard Model (BSM). Besides gauge coupling unification, they also unify fermions in joint GUT representations, presenting an interesting possibility to address the flavor puzzle, i.e. the origin of the values of masses, mixings and CP violating phases. The most common GUT models are based on the unifying groups SU(5) and SO(10); this paper focuses on the latter choice, where an entire SM family of fermions and an additional right-handed neutrino can be embedded into a single representation 16. From the point of view of the Yukawa sector and the flavor puzzle, one can distinguish two approaches to build unified models: 1. Minimal renormalizable models, where a minimal set of irreducible particle representations in the fermionic and Higgs sectors are postulated. All renormalizable terms admitted by gauge symmetry are written down, and th
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