High Precision for Hard Processes at the LHC

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The two-loop anomalous dimension matrix for soft gluon exchange

Presented by LANCE DIXON on 7 Sep 2006 from 10:05 to 10:30
Session: Day 2

Description

Resummation of soft-gluon exchange for QCD hard scattering requires an anomalous dimension matrix in color space. We compute this matrix directly for arbitrary massless processes for the first time at two loops, and show that it is proportional to the one-loop matrix. This result reproduces the 1/eps pole terms in previous explicit two-loop computations, and predicts such terms for arbitrary processes. The proportionality of the one- and two-loop matrices also makes it possible to resum in closed form the next-to-next-to-leading logarithms for arbitrary processes.

Place

Location: ETH Zurich

Primary authors

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