English

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

High Energy Physics - Theory 2022-08-24 v4

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.

Keywords

Cite

@article{arxiv.2109.06546,
  title  = {Recursion relations for scattering amplitudes with massive particles II: massive vector bosons},
  author = {Sourav Ballav and Arkajyoti Manna},
  journal= {arXiv preprint arXiv:2109.06546},
  year   = {2022}
}

Comments

Changes in the abstract, the presentation in the text and notation. Matched with the published version

R2 v1 2026-06-24T05:56:53.750Z