Relativistic effect of $J/\psi$ hadroproduction in large $p_T$ region

TL;DR

This paper calculates all-order relativistic corrections to $J/$ hadroproduction at high transverse momentum, showing the corrections' ratios are kinematic-independent across channels, extending previous proportionality findings.

Contribution

It introduces a comprehensive all-orders relativistic correction calculation for $J/$ production, revealing universal proportionality relations across channels.

Findings

Relativistic corrections converge well for all channels.

The ratio of correction to leading term is kinematic-independent.

Proportional relations extend to all orders.

Abstract

By combining NRQCD factorization and collinear factorization, we compute a series of relativistic corrections for $J/\psi$ hadroproduction to all orders in $v^2$ at large $p_T$ limit. The $v^2$ expansion converges well for all channels. We find that the ratio of relativistic correction term to the corresponding leading term is independent of kinematic variables for any channel, which generalizes the proportional relations found in previous works to all orders.