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Resummation of Threshold Logarithms in Effective Field Theory For DIS, Drell-Yan and Higgs Production

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arxiv hep-ph/0605068 v2 pith:ERY37AZV submitted 2006-05-07 hep-ph

classification hep-ph
keywords productiondrell-yanhiggstheoryapproacheffectivefieldlogarithmic
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We apply the effective field theoretic (EFT) approach to resum the large perturbative logarithms arising when partonic hard scattering cross-sections are taken to the threshold limit. We consider deep inelastic scattering, Drell-Yan lepton pair production and the standard model Higgs production through gluon-gluon fusion via heavy-top loop. We demonstrate the equivalence of the EFT approach with the more conventional, factorization-based methods to all logarithmic accuracies and to all orders in perturbation theory. Specific EFT results are shown for the resummation up to next-to-next-to-next leading logarithmic accuracy for the above mentioned processes. We emphasize the relative simplicity by which we derive most of the results and more importantly their clear physical origin. We find a new relation between the functions $f_{(q,g)}$ in the quark and gluon form factors and the matching coefficients in Drell-Yan and Higgs production, which may explain their universality believed to hold to all orders in perturbation theory.

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Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    hep-ph 2019-09 conditional novelty 5.0 of 10

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