Factorial cumulants from global baryon number conservation

TL;DR

This paper analytically calculates factorial cumulants of proton, antiproton, and mixed proton-antiproton distributions due to global baryon number conservation, providing results that can be directly tested experimentally.

Contribution

It presents the first analytical calculation of higher-order factorial cumulants from baryon number conservation up to sixth order.

Findings

Derived explicit formulas for factorial cumulants up to sixth order.

Results enable direct experimental testing of baryon number conservation effects.

Provides a theoretical benchmark for future experimental analyses.

Abstract

The proton, antiproton and mixed proton-antiproton factorial cumulants originating from the global conservation of baryon number are calculated analytically up to the sixth order. Our results can be directly tested in experiments.