Recursion relations for scattering amplitudes with massive particles II: massive vector bosons
arXiv:2109.06546 · doi:10.1016/j.nuclphysb.2022.115935
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.
arXiv commentChanges in the abstract, the presentation in the text and notation. Matched with the published version
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