Infrared Singularities and Soft Gluon Resummation with Massive Partons

✍ Scribed by Andrea Ferroglia; Matthias Neubert; Ben D. Pecjak; Li Lin Yang

• Book ID: 104071788
• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 166 KB
• Volume: 205-206
• Category: Article
• ISSN: 0920-5632
• DOI: 10.1016/j.nuclphysbps.2010.08.026

✦ Synopsis

Infrared divergences of QCD scattering amplitudes can be derived from an anomalous dimension matrix, which is also an essential ingredient for the resummation of large logarithms due to soft gluon emissions. We report a recent analytical calculation of the anomalous dimension matrix with both massless and massive partons at two-loop level, which describes the two-loop infrared singularities of any scattering amplitudes with an arbitrary number of massless and massive partons, and also enables soft gluon resummation at next-to-next-to-leadinglogarithmic order. As an application, we calculate the infrared poles in the q q → t t and gg → t t scattering amplitudes at two-loop order.