Baryon Non-Invariant Couplings in Higgs Effective Field Theory

TL;DR

This paper constructs and analyzes baryon non-invariant operators within Higgs Effective Field Theory, expanding the known basis and exploring flavor contractions using Hilbert series.

Contribution

It introduces a comprehensive list of 12 dimension six baryon non-invariant operators in Higgs EFT, compared to 6 in Standard Model EFT, with detailed flavor contraction analysis.

Findings

12 baryon non-invariant operators identified

Hilbert series technique applied for flavor contraction analysis

Comparison with Standard Model EFT operators provided

Abstract

The basis of leading operators which are not invariant under baryon number is constructed within the Higgs Effective Field Theory. This list contains 12 dimension six operators, which preserve the combination B-L, to be compared to only 6 operators for the Standard Model Effective Field Theory. The discussion on the independent flavour contractions is presented in detail for a generic number of fermion families adopting the Hilbert series technique.