Soft resummation in processes with heavy quark: bridging the gap from 4-flavor to 5-flavor scheme

TL;DR

This paper introduces a novel threshold resummation method for processes involving heavy quarks, effectively bridging the 4-flavor and 5-flavor schemes by resumming mass and energy fraction logarithms.

Contribution

It presents a new approach to threshold resummation that unifies different schemes for heavy quark processes, improving theoretical consistency.

Findings

Resums both mass and energy fraction logarithms in heavy quark processes.

Provides a framework to match 4-flavor and 5-flavor schemes.

Enhances precision in differential decay rate calculations.

Abstract

In this work we present a new approach to threshold resummation in processes with heavy quarks. In particular we will focus on the differential decay rate of a color-singlet particle into a $b \bar b$ pair and we will show how to resum in a consistent way both the logarithms of the mass and the logarithms of the heavy flavor energy fraction. Within this framework, we match the two different approaches existing in literature to threshold resummation, the main difference of which is the way in which the mass is treated (5-flavor scheme vs 4-flavor scheme).