Cut-constructible part of QCD amplitudes

By R. Britto, Bo Feng, Pierpaolo Mastrolia. 2006

158 citations recorded by the source corpus.

Unitarity cuts are widely used in analytic computation of loop amplitudes in gauge theories such as QCD. We expand upon the technique introduced in hep-ph/0503132 to carry out any finite unitarity cut integral. This technique naturally separates the contributions of bubble, triangle and box integrals in one-loop amplitudes and is not constrained to any particular helicity configurations. Loop momentum integration is reduced to a sequence of algebraic operations. We discuss the extraction of the residues at higher-order poles. Additionally, we offer concise algebraic formulas for expressing coefficients of three-mass triangle integrals. As an application, we compute all remaining coefficients of bubble and triangle integrals for nonsupersymmetric six-gluon amplitudes.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c4948febb49630666f7e1b85ca37777200534574

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In Nuclear and High Energy Physics

1. Pierpaolo Mastrolia
2. Simon Badger
3. R. Britto
4. Z. Kunszt
5. C. Anastasiou
6. Bo Feng
7. F. Cachazo
8. Ansgar Denner

Citations in the corpus

• Direct extraction of one loop rational terms (2008, background): “efficients of the integral basis [10]. Using spinor integration techniques [11, 12] it has been possible to derive analytic expressions for the cut-constructible parts of all six-point gluon amplitudes [11, 13]. Such techniques are not restricted to massless theories and have also been developed for m”
• Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes (2006, methodology): “The reduction is done using spinorial integration [6, 14].”
• Loop amplitudes in gauge theories: modern analytic approaches (2010, methodology): “ee-jet production in deep inelastic scattering) have been given in [92], which also featured the used of a triple cut to find a three-mass triangle coefficient. The components of the six-gluon amplitude [56, 93, 17, 14, 94, 69, 28, 80, 18, 29, 85, 81, 95] have been summarized in [96, 97] with an accomp”