# Higher-order radiative corrections for $b{\bar b} \rightarrow H^- W^+$

## TL;DR

This paper calculates higher-order radiative corrections for the production of a charged Higgs boson with a W boson via bottom quark annihilation, providing improved cross section and distribution predictions at LHC energies.

## Contribution

It introduces approximate NNLO and N$^3$LO formulas for the process using resummation at next-to-leading-logarithm accuracy, enhancing theoretical precision.

## Key findings

- Total cross sections at various LHC energies are provided.
- Transverse-momentum and rapidity distributions are calculated.
- The corrections significantly improve the accuracy of predictions.

## Abstract

I present higher-order radiative corrections from collinear and soft gluon emission for the associated production of a charged Higgs boson with a $W$ boson. The calculation uses expressions from resummation at next-to-leading-logarithm accuracy. From the resummed cross section I derive analytical formulas at approximate NNLO and N$^3$LO. Total cross sections are presented for the process $b{\bar b} \rightarrow H^- W^+$ at various LHC energies. The transverse-momentum and rapidity distributions of the charged Higgs boson are also calculated.