Charge sum rules for quark fragmentation functions

TL;DR

This paper investigates charge sum rules in quark fragmentation functions, demonstrating their consistency with fundamental symmetries and exploring potential violations, supported by numerical estimates and comparisons with models.

Contribution

It introduces a comprehensive approach to charge sum rules considering meson and baryon fragmentation, linking them to superconformal symmetry and analyzing Wilson line effects.

Findings

Sum rules align with Gell-Mann--Nishijima formulas

Numerical estimates agree with phenomenological models

Wilson line contributions may cause violations

Abstract

Charge sum rules for quark fragmentation functions are studied. The simultaneous implementation of the conservation of electric and baryon charges, strangeness and isospin symmetry is achieved when the fragmentation to both mesons and baryons is considered. The results are compatible to Gell-Mann--Nishijima formulas and may be the new manifestation of superconformal symmetry between mesons and baryons. The numerical estimates are performed and compared with phenomenological models. The recently suggested violations of sum rules due to Wilson lines contributions are discussed.