# XXVII International Workshop on Deep Inelastic Scattering and Related Subjects

Apr 8 – 12, 2019
Turin
Europe/Rome timezone

## Spectrally novel fragmentation function sum rules

Apr 9, 2019, 3:08 PM
17m
Rettorato - Aula Principi d'Acaja

### Rettorato - Aula Principi d'Acaja

via Verdi, 8 Turin
Parallel Session Talk WG6: Spin and 3D structure

### Speaker

Alberto Accardi (Hampton U. and Jefferson Lab)

### Description

We connect at the operator level the inclusive gauge-invariant quark propagator and the quark to single hadron fragmentation correlator in QCD. Exploiting a new spectral decomposition for the quark propagator, we then derive a complete set of momentum sum rules for the quark fragmentation functions into a single unpolarized hadron up to twist-three. Known results are recovered, and new sum rules discovered.

The spectral decomposition of the jet correlator also allows one to define a gauge-invariant dressed quark (or "jet") mass. Remarkably, the mass sum rules for the $E$ and $\tilde E$ twist-3 fragmentation functions provide an experimental gateway to this jet mass and its interaction-dependent component, which can thus be potentially measured in deep-inelastic processes and shed light on the dynamical generation of mass in QCD.

### Primary authors

Alberto Accardi (Hampton U. and Jefferson Lab) Andrea Signori (Argonne National Laboratory)