Basis for non-derivative baryon-number-violating operators

TL;DR

This paper develops a minimal and simplified basis for non-derivative baryon-number-violating operators in the Standard Model Effective Field Theory up to dimension 11, and specific operators at dimension 12.

Contribution

It introduces a more concise and manageable basis for these operators, improving upon previous results by reducing the number of terms and complexity.

Findings

Fewer terms and simpler contractions in the new basis.

Provides bases up to dimension 11 and for specific dimension 12 operators.

Identifies cases where minimal basis and simple structures are incompatible.

Abstract

We present a minimal basis for non-derivative baryon-number-violating operators in the Standard Model Effective Field Theory up to mass dimension 11, as well as for the $(\Delta B,\Delta L) = (2,2)$ and $(2,-2)$ operators at dimension 12. Compared to existing results, our bases generally contain fewer terms and simpler contractions, although we also highlight select cases where a minimal basis is incompatible with simple structures.