SEMIANALYTIC DISTRIBUTIONS IN FOUR FERMION NEUTRAL CURRENT PROCESSES

TL;DR

This paper provides analytical formulas for triple differential distributions in neutral current four-fermion processes, enabling efficient computation of various kinematic distributions with flexible cuts.

Contribution

It introduces semi-analytic expressions for distributions in $e^+e^- o f_1 ar{f}_1 f_2 ar{f}_2$ processes, simplifying the calculation of angular, rapidity, and transverse momentum distributions.

Findings

Analytical formulas for triple differential distributions.

Efficient computation with only two numerical integrations.

Flexible application of kinematic cuts.

Abstract

Analytical formulae for triple differential distributions ${\rm d}^3\sigma/({\rm d}\cos\theta{\rm d}s_1{\rm d}s_2)$ in the neutral current process $e^+e^-\rightarrow f_1\bar f_1 f_2\bar f_2$ are given. They allow to obtain angular distributions, rapidity distributions and transversal momentum distributions of one fermion pair by only two numerical integrations. Cuts can be applied to the integration variables.