Precision Studies of the NNLO DGLAP Evolution at the LHC with CANDIA

TL;DR

This paper presents a detailed method and software implementation for solving NNLO DGLAP evolution equations in QCD, enabling precise parton distribution evolution at the LHC.

Contribution

It introduces the CANDIA 1.0 program with flexible options for NNLO evolution, including exact and truncated solutions, and varying flavor schemes.

Findings

Implementation of exact NNLO solutions in non-singlet sector

Flexible options for evolution schemes in CANDIA 1.0

Separate treatment of scale dependences

Abstract

We summarize the theoretical approach to the solution of the NNLO DGLAP equations using methods based on the logarithmic expansions in x-space and their implementation into the C program Candia 1.0. We present the various options implemented in the program and discuss the different solutions. The user can choose the order of the evolution, the type of the solution, which can be either exact or truncated, and the evolution either with a fixed or a varying flavor number, implemented in the varying-flavour-number scheme (VFNS). The renormalization and factorization scale dependences are treated separately. In the non-singlet sector the program implements an exact NNLO solution.