Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach
By E. Laenen, L. Magnea, G. Stavenga, C. D. White. 2010
156 citations recorded by the source corpus.
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.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/2bfc319f5c89f0ecf3c1546489b7b5327ab7b0cb
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In Nuclear and High Energy Physics
Citations in the corpus
- Factorization properties of soft graviton amplitudes (2011, methodology): “a single photon or gluon emission, and those involving two gauge bosons emitted from the same position on the external line. These vertices were then confirmed by an explicit diagrammatic treatment in [42]. A similar procedure is possible in the present case. Note, however, that the simple scaling pj”
- Soft sub-leading divergences in Yang-Mills amplitudes (2014, background): “These sub-leading terms also have a strong resemblance to structures found in the systematic expansions of amplitudes carried out in [11–13].”