Cross Section Evaluation by Spinor Integration II: The massive case in 4D

TL;DR

This paper advances the spinor integration method for calculating cross sections in 4D, specifically addressing massive particles, and demonstrates its effectiveness through detailed examples involving Higgs and Z boson processes.

Contribution

It introduces a new framework for spinor-based phase space integration for massive particles in 4D, extending previous methods and providing practical examples.

Findings

Successfully applied the method to Z^0 decay to leptons and Higgs production.

Established a systematic approach for massive particle phase space integration.

Demonstrated the method's potential for simplifying complex cross section calculations.

Abstract

In this paper, we continue our study of calculating the cross section by the spinor method, i.e., performing the phase space integration using the spinor method. We have focused on the case where the physical momenta are massive and in pure 4D. We established the framework of such a new method and presented several examples, including two real progresses: $Z^0\to l^+ l^- H$ and $\bar{qq} \to \bar{ff} H^0$.