$B+L$ violation at colliders and new physics

TL;DR

This paper investigates how new fermions beyond the Standard Model can significantly enhance baryon and lepton number violating processes at colliders, suggesting potential signals of new physics linked to these anomalies.

Contribution

It reveals that non-standard fermions can greatly increase the polynomial part of the $B+L$ violation rate and proposes a simple dependence of the holy grail function on heavy fermion masses.

Findings

$B+L$ violation rates can be orders of magnitude higher with new fermions.

The polynomial contribution dominates at high energies and light fermion masses.

A potential relationship between the holy grail function and fermion masses is suggested.

Abstract

Chiral electroweak anomalies predict fermion interactions that violate baryon ($B$) and lepton number ($L$), and can be dressed with large numbers of Higgs and gauge bosons. The estimation of the total $B+L$ violating rate from an initial two-particle state --potentially observable at colliders-- has been the subject of an intense discussion, mainly centered on the resummation of boson emission, which is believed to contribute to the cross-section with an exponential function of the energy, yet with an exponent (the "holy-grail" function) which is not fully known in the energy range of interest. In this article we focus instead on the effect of fermions beyond the Standard-Model (SM) in the polynomial contributions to the rate. It is shown that $B+L$ processes involving the new fermions have a polynomial contribution that can be several orders of magnitude greater than in the SM, for high centre-of-mass energies and light enough masses. We also present calculations that hint at a simple dependence of the holy grail function on the heavy fermion masses. Thus, if anomalous $B+L$ violating interactions are ever detected at high-energy colliders, they could be associated with new physics.