Recursion relations for scattering amplitudes with massive particles II: massive vector bosons

TL;DR

This paper develops recursion relations for tree-level scattering amplitudes involving massive vector bosons and gluons, providing compact formulas and consistency checks, advancing computational methods in particle physics.

Contribution

It introduces new recursion relations for massive vector boson amplitudes using covariant shifts, yielding compact expressions and a novel NMHV amplitude representation.

Findings

Derived compact expressions for specific helicity configurations.

Confirmed high energy limits match known Yang-Mills amplitudes.

Provided a new representation for NMHV amplitudes.

Abstract

Using the recently introduced recursion relations with covariant massive-massless shift, we study tree-level scattering amplitudes involving a pair of massive vector bosons and an arbitrary number of gluons in the massive spinor-helicity formalism. In particular, we derive compact expressions for cases in which i) all gluons are of the same helicity and ii) one gluon has flipped helicity and is colour adjacent to one of the massive particles. We provide numerous consistency checks of our results including the exact match of high energy limits with well-known MHV and NMHV amplitudes in pure Yang-Mills theory. As a corollary, we obtain an alternative novel representation of the NMHV amplitude.