Infrared singularities of QCD amplitudes with massive partons

By T. Becher, M. Neubert. 2009

192 citations recorded by the source corpus.

A formula for the two-loop infrared singularities of dimensionally regularized QCD scattering amplitudes with an arbitrary number of massive and massless legs is derived. The singularities are obtained from the solution of a renormalization-group equation, and factorization constraints on the relevant anomalous-dimension matrix are analyzed. The simplicity of the structure of the matrix relevant for massless partons does not carry over to the case with massive legs, where starting at two-loop order new color and momentum structures arise, which are not of the color-dipole form. The resulting two-loop three-parton correlations can be expressed in terms of two functions, for which some general properties are derived. This explains observations recently made by Mitov et al. in terms of symmetry arguments.

View Paper: https://www.semanticscholar.org/paper/3501a2aa51d40e21513a3913902c10fdedcc9675

How researchers see this paper

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1. T. Becher
2. A. Broggio
3. Chris D. White
4. A. Ferroglia
5. A. Sever
6. M. Neubert
7. J. Maldacena
8. D. Correa

Citations in the corpus

• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation (2012, background): “the square of the sum of the momenta of the two consecutive particles. More explicitly, the angle is given by cosh’= pp 1:p 2 p2 1 p 2 2 . This relation is general for any conformal gauge theory. See [14, 15] and references therein. In N= 4 super Yang Mills the massive particles can be obtained by s”
• Erratum: On the structure of infrared singularities of gauge-theory amplitudes (2009, background): “This is worked out in detail in [91].”
• Factorization properties of soft graviton amplitudes (2011, background): “Such factorization properties are important both for resummation applications, and also for understanding the structure of infrared singularities to all orders [33, 34, 35, 36, 37, 38, 39, 40, 41].”
• Introduction to Soft-Collinear Effective Theory (2014, methodology): “2) where the first two coefficients are [77].”
• Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach (2010, unknown): “Recent significant developments in the understanding of the all-order structure of infrared divergences in non-abelian gauge theories [5, 6, 7, 8] were also derived with the help of the special properties of the eikonal approximation.”