A case study about the mass exclusion limits for the BSM vector resonances with the direct couplings to the third quark generation

TL;DR

This paper examines the limitations of current methods for setting mass exclusion limits on BSM vector resonances that couple specifically to the third quark generation, emphasizing the importance of bottom quark contributions.

Contribution

It highlights the necessity of including bottom quark partonic content when deriving mass limits for strongly coupled vector resonances interacting with the third quark generation.

Findings

Mass exclusion limits depend on bottom quark contributions.

Standard procedures may not be directly applicable to these resonances.

Specific mass bounds are provided for certain parameter sets.

Abstract

The upper bounds that the LHC measurements searching for heavy resonances beyond the Standard model set on the resonance production cross sections are not universal. They depend on various characteristics of the resonance under consideration, like its mass, spin, and its interaction pattern. Their validity are also limited by the assumptions and approximations applied to their calculations. The bounds are typically used to derive the mass exclusion limits for the new resonances. In our work, we address some of the issues that emerge when deriving the mass exclusion limits for the strongly coupled composite $SU(2)_{L+R}$ vector resonance triplet which would interact directly to the third quark generation only. We investigate the restrictions on the applicability of the generally used limit-obtaining procedure to this particular type of vector resonances. We demonstrate that, in this case, it is necessary to consider the bottom quark partonic contents of the proton. Eventually, we find the mass exclusion limits for this resonance triplet for some representative subsets of the parameter space.