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arXiv · 1010.1860

Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach

Eric Laenen·Lorenzo Magnea·Gerben Stavenga·Chris D. White
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Abstract

We consider the problem of soft gluon resummation for gauge theory amplitudes and cross sections, at next-to-eikonal order, using a Feynman diagram approach. At the amplitude level, we prove exponentiation for the set of factorizable contributions, and construct effective Feynman rules which can be used to compute next-to-eikonal emissions directly in the logarithm of the amplitude, finding agreement with earlier results obtained using path-integral methods. For cross sections, we also consider sub-eikonal corrections to the phase space for multiple soft-gluon emissions, which contribute to next-to-eikonal logarithms. To clarify the discussion, we examine a class of log(1 - x) terms in the Drell-Yan cross-section up to two loops. Our results are the first steps towards a systematic generalization of threshold resummations to next-to-leading power in the threshold expansion.

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Eric Laenen, Lorenzo Magnea, Gerben Stavenga, Chris D. White. 2010-10-09. Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach. https://doi.org/10.1007/jhep01(2011)141

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