Effective field theory approach to trans-TeV supersymmetry: covariant matching, Yukawa unification and Higgs couplings

James D Wells,Zhengkang Zhang

doi:10.1007/jhep05(2018)182

Abstract

Dismissing traditional naturalness concerns while embracing the Higgs boson mass measurement and unification motivates careful analysis of trans-TeV supersymmetric theories. We take an effective field theory (EFT) approach, matching the Minimal Supersymmetric Standard Model (MSSM) onto the Standard Model (SM) EFT by integrating out heavy superpartners, and evolving MSSM and SMEFT parameters according to renormalization group equations in each regime. Our matching calculation is facilitated by the recent covariant diagrams formulation of functional matching techniques, with the full one-loop SUSY threshold corrections encoded in just 30 diagrams. Requiring consistent matching onto the SMEFT with its parameters (those in the Higgs potential in particular) measured at low energies, and in addition requiring unification of bottom and tau Yukawa couplings at the scale of gauge coupling unification, we detail the solution space of superpartner masses from the TeV scale to well above. We also provide detailed views of parameter space where Higgs coupling measurements have probing capability at future colliders beyond the reach of direct superpartner searches at the LHC.

Highlights

Are encoded in higher-dimensional effective operators involving the light Standard Model (SM) fields
From a top-down perspective, we may be interested to ask whether some attractive speculative ideas — supersymmetry (SUSY), unification, etc. — can be realized in specific BSM setups, while being consistent with the SMEFT we have established at low energy
We present the results of one-loop-level coefficients of all d ≤ 4 SMEFT operators, i.e. δZφ,f,V, δm2, δλ, δyf defined in eq (2.4), which are calculated from the 30 covariant diagrams in tables 6 and 7

Summary

Introduction

Are encoded in higher-dimensional effective operators involving the light Standard Model (SM) fields. — can be realized in specific BSM setups, while being consistent with the SMEFT we have established at low energy To address such questions requires careful matching between the full theory and EFT parameters across heavy particle thresholds. In addition to higher-dimensional operators being generated, changes in renormalizable operator coefficients across thresholds are often important to account for These “threshold corrections” are invisible to low-energy experiment, but may be crucial for answering questions regarding high-scale physics, like the one on SUSY and unification posed above. In this calculation, we find solutions for SUSY scales from TeV up to 1010 GeV. We will show how precision Higgs measurements constitute a powerful indirect probe of TeV-scale SUSY with b-τ Yukawa unification that is complementary to direct superpartner searches

Objectives

Results

Conclusion