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Recursion Relations for Gauge Theory Amplitudes with Massive Vector Bosons and Fermions

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arxiv hep-th/0507161 v1 pith:CN2H3QBS submitted 2005-07-18 hep-th hep-ph

classification hep-thhep-ph
keywords vectorbosoncurrentsmassiverecursionrelationsbosonsgluons
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We apply the on-shell tree-level recursion relations of Britto, Cachazo, Feng and Witten to a variety of processes involving internal and external massive particles with spin. We show how to construct multi-vector boson currents where one or more off-shell vector bosons couples to a quark pair and number of gluons. We give compact results for single vector boson currents with up to six partons and double vector boson currents with up to four partons for all helicity combinations. We also provide expressions for single vector boson currents with a quark pair and an arbitrary number of gluons for some specific helicity configurations. Finally, we show how to generalise the recursion relations to handle massive particles with spin on internal lines using $gg \to t\bar t$ as an example.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Massive Helicity-Chirality Spinor Formalism from Massless Amplitudes with On-shell Mass Insertion

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    A new helicity-chirality spinor basis with a 'transversality' charge claims a one-to-one UV-IR correspondence between massive amplitudes and massless amplitudes with Higgs insertions, and reproduces pion decay, top de...

  2. On-shell recursion relations for higher-spin Compton amplitudes

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    The all-line transverse shift makes four-point electromagnetic and gravitational Compton amplitudes on-shell constructible for massive spin s≤3/2 and s≤5/2, respectively, starting from minimal three-point amplitudes.

  3. Extended Poincare Symmetry Dictates Massive Scattering Amplitudes

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A new U(1) 'transversality' symmetry, embedded in SO(5,1), fixes the structure of massive three-point amplitudes and resolves the e+e- to mu+mu- discrepancy in the spinor-helicity formalism.

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