Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-05-07
Nucl.Phys.B753:42-68,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
28 pages. Some typos corrected. Two references added
Scientific paper
10.1016/j.nuclphysb.2006.07.002
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.
Idilbi Ahmad
Ji Xiangdong
Yuan Fang-Fang
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