Matching relations for gluon TMDs up to one-loop accuracy

6 May 2026, 18:05
8m
Sala IMPERIALE B. (Hotel Carlton)

Sala IMPERIALE B.

Hotel Carlton

Flash talk WG5 Spin and 3D Structure WG5 Spin and 3D-structure

Speaker

Alessio Carmelo Alvaro (Istituto Nazionale di Fisica Nucleare)

Description

A fundamental ingredient for phenomenological studies of the three-dimensional (3D) momentum structure of the nucleon is provided by matching relations. These relations constrain the functional form of 3D parton distributions by connecting them to their collinear counterparts. For quark transverse-momentum–dependent distributions (TMDs), matching relations are known at one-loop accuracy, including contributions up to twist-3. In contrast, for gluon distributions such relations have so far been established only at leading twist.

In this talk, I will present new results for gluon TMDs at tree level and one loop, including twist-3 contributions. At tree level, I will discuss the matching relations for both T-even and T-odd distributions, incorporating the complete series of mass corrections. At one-loop accuracy, the main result is the derivation of a Wandzura–Wilczek–type relation for the gluon worm-gear T distribution.

Speaker confirmation Yes

Authors

Alessio Carmelo Alvaro (Istituto Nazionale di Fisica Nucleare) Barbara Pasquini (Istituto Nazionale di Fisica Nucleare) Cristian Pisano (Istituto Nazionale di Fisica Nucleare) Nanako Kato (Istituto Nazionale di Fisica Nucleare) Simone Rodini

Presentation materials