reSolve - A Transverse Momentum Resummation Tool

TL;DR

reSolve is a modular, open-source C++ tool that performs transverse momentum resummation at NNLL accuracy for diphoton and Drell-Yan processes at hadron colliders, facilitating precise theoretical predictions.

Contribution

It introduces reSolve, a new, flexible Monte Carlo program for transverse momentum resummation, with detailed documentation and a modular structure for easy customization.

Findings

Resummation up to NNLL accuracy achieved.

Successfully applied to diphoton and Drell-Yan processes.

Provides a transparent, customizable framework for future extensions.

Abstract

In this note, we introduce the new tool reSolve, a Monte Carlo differential cross-section and parton-level event generator whose main purpose is to add transverse momentum resummation to a general class of inclusive processes at hadron colliders, namely all those which do not involve hadrons or jets in the measured final state. This documentation refers to the first main version release, which will form the basis for continued developments, consequently it only implements the key features of those we plan to ultimately include. This article acts as a manual for the program; describing in detail its use, structure, validation and results; whilst also highlighting key aspects of the resummation formalism applied. It details the two classes of processes so far included; these are diphoton production and Drell-Yan production. A main concept behind the development of the tool is that it is a hands-on white box for the user: significant effort has been made to give the program a modular structure, making the various parts which comprise it independent of each other as much as possible and ensuring they are transparently documented, customizable and, in principle, replaceable with something that may better serve the users needs. reSolve is a new C++ program, based on an evolution of the private Fortran code 2gres, previously used for the calculations in refs. [1] and [2]; it is also influenced by the DYRes Fortran code of refs. [3] and [4]. This initial version calculates the low transverse momentum contribution to the fully differential cross-section for two main categories of processes; the inclusive production of two photons, and inclusive Drell-Yan production. In all cases resummation up to Next-to-Next-to-Leading Logarithm (NNLL) is included. We aim to extend the program to several more processes in the near future. The program is publicly available on Github.