Higher-order corrections in threshold resummation

By Sven-Olaf Moch, Jos Vermaseren, A. Vogt. 2005

151 citations recorded by the source corpus.

We extend the threshold resummation exponents G N in Mellin-N space to the fourth logarithmic (N 3 LL) order collecting the terms α 2 s (αs ln N) n to all orders in the strong coupling constant αs. Comparing the results to our previous three-loop calculations for deep-inelastic scattering (DIS), we derive the universal coefficients Bq and Bg governing the final-state jet functions to order α 3 s , extending the previous quark and gluon results by one and two orders. A curious relation is found at second order between these quantities, the splitting fun ctions and the large-angle soft emissions in Drell-Yan type processes. We study the numerical effect of the N 3 LL corrections using both the fully exponentiated form and the expansion of the coefficien t function in towers of logarithms.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a4cd0974a8fb5ff7d8f92514901b275bfce73221

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In Nuclear and High Energy Physics

Citations in the corpus

Soft gluon resummation for gluon-induced Higgs Strahlung (2014, unknown): “[47–49].”
High precision determination of the gluon fusion Higgs boson cross-section at the LHC (2016, methodology): “[30] and we checked that by varying the Padé approximation up and down by a factor of 10, our results do not change.”
Four-loop non-singlet splitting functions in the planar limit and beyond (2017, result): “For comparison: the corresponding [1/1] Padé approximants used so far are 7849, 4313 and 1553 [98].”