# Target Mass Effects in Parton Quasi-Distributions

## TL;DR

This paper investigates how the nucleon mass affects parton quasi-distributions, finding that target-mass corrections are small and can be neglected at high momenta, with a new source of kinematic dependence identified and modeled.

## Contribution

It introduces a new understanding of target-mass effects in quasi-distributions and models their impact, showing these effects are negligible at high nucleon momenta.

## Key findings

- Target-mass corrections are small and negligible for $p_3 \,\gtrsim\, 2M$.
- Higher-twist contributions cancel target-mass effects in TMD parametrizations.
- A new source of kinematic target-mass dependence in TMDs is identified and modeled.

## Abstract

We study the impact of non-zero (and apparently large) value of the nucleon mass $M$ on the shape of parton quasi-distributions $Q(y,p_3)$, in particular on its change with the change of the nucleon momentum $p_3$. We observe that the usual target-mass corrections induced by the $M$-dependence of the twist-2 operators are rather small. Moreover, we show that within the framework based on parametrizations by transverse momentum dependent distribution functions (TMDs) these corrections are canceled by higher-twist contributions. We identify a novel source of kinematic target-mass dependence of TMDs and build models corrected for such dependence. We find that resulting changes may be safely neglected for $p_3 \gtrsim 2M$.