The soft-gluon current at one-loop order☆

By S. Catani, M. Grazzini. 2000

209 citations recorded by the source corpus.

Abstract We study the soft limit of one-loop QCD amplitudes and we derive the process-independent factorization formula that controls the singular behaviour in this limit. This is obtained from the customary eikonal factorization formula valid at tree (classical) level by introducing a generalized soft-gluon current that embodies the quantum corrections. We compute the explicit expression of the soft-gluon current at one-loop order. It contains purely non-abelian correlations between the colour charges of each pair of hard-momentum partons in the matrix element. This leads to colour correlations between (two and) three hard partons in the matrix element squared. Exploiting colour conservation, we recover QED-like factorization for the square of the matrix elements with two and three hard partons.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7c9b31005b1dc6c799186e1ada37f382bd683a98

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In Nuclear and High Energy Physics

1. M. Grazzini
2. I. Moult
3. D. Neill
4. Gudrun Heinrich
5. A. Larkoski
6. L. Dixon
7. Z. Bern
8. Cms Collaboration

Citations in the corpus

• Two-loop soft corrections and resummation of the thrust distribution in the dijet region (2011, unknown): “Using the known expression of the soft current at one loop [81], we can write their contribution as s (2) (e),(f) (”
• Analytic boosted boson discrimination (2015, methodology): “This matrix element can be calculated from the square of the soft gluon current [194, 195], which is known to two loop order [196, 197].”
• Two-Loop Helicity Amplitudes for Gluon-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory (2002, background): “[26], in a color-resolved approach to a NNLO computation.”
• A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of doubly-real emissions (2006, background): “Although the infrared limits of QCD matrix elements have been extensively studied both at tree-level [30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41], and at one-loop [42, 43, 44, 45, 46], the formulae presented in the literature do not lend themselves directly for devising the approximate cross sec”