Non-supersymmetric loop amplitudes and MHV vertices

By J. Bedford, A. Brandhuber, B. Spence, G. Travaglini. 2004

135 citations recorded by the source corpus.

Abstract We show how the MHV diagram description of Yang–Mills theories can be used to study non-supersymmetric loop amplitudes. In particular, we derive a compact expression for the cut-constructible part of the general one-loop MHV multi-gluon scattering amplitude in pure Yang–Mills theory. We show that in special cases this expression reduces to known amplitudes—the amplitude with adjacent negative-helicity gluons, and the five gluon non-adjacent amplitude. Finally, we briefly discuss the twistor space interpretation of our result.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/84b3452a32a3296b0008a3e8c4796e809f39b9a2

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Citations in the corpus

• A direct proof of the CSW rules (2005, methodology): “The CSW conjecture has led to several developments in tree-level calculations [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18], and it was also used for some one-loop calculations in an approach developed by Brandhuber, Spence and Travaglini [19, 20, 21, 22].”
• MHV rules for Higgs plus multi-gluon amplitudes (2004, methodology): “o form the full Higgs amplitude. Here we generalise this method to allow fermions in the Higgs plus multi-parton amplitudes and show how MHV 1Progresshasalsobeenmadefornon-supersymmetricloopamplitudes[24] – 1 – and MHV vertices for one and two quark-antiquark pairs can be derived from supersymmetry ”
• Recursion relations for gauge theory amplitudes with massive particles. (2005, unknown): “[5, 32–42].”
• Cut-constructible part of QCD amplitudes (2006, methodology): “The cut parts of the MHV amplitudes are known [11,10, 46 ]”
• One-loop amplitudes of gluons in supersymmetric QCD (2005, methodology): “More recently, the non-adjacent case was computed in [19] using the techniques of [11,20,21].”
• The Lagrangian origin of MHV rules. (2005, unknown): “The construction extends to include massless fermions.”