Virtual corrections to /gg-->H to two loops in the heavy top limit

By Robert V. Harlander. 2000

179 citations recorded by the source corpus.

Abstract The virtual corrections to the production cross section of a Standard Model Higgs boson are computed up to order α s 4 . Using an effective Lagrangian for the limit M t →∞, we evaluate the relevant massless two-loop vertex diagrams by mapping them onto three-loop two-point functions, following a method recently introduced by Baikov and Smirnov [1] . As a result, we find a gauge-invariant contribution to the total Higgs production cross section at NNLO.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/120a39c9b8f939c38ae69505177edfd2b5e9bd58

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In Nuclear and High Energy Physics

Citations in the corpus

Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order (2009, background): “ k , and h (n) αβ (x) are functions of the top quark mass. We write them as {a,bk,hαβ(x)} = X i≥0 MH Mt i {ai,bk,i,hαβ,i(x)}. (11) The leading terms in 1/Mt, i.e. i = 0, have been obtained in Refs.[46, 47, 48] (soft+virtual) and Refs.[8, 9, 10] (hard).4 Concerning the subleading terms in 1/Mt, let ”
Factorization at the LHC: From parton distribution functions to initial state jets (2010, background): “This evolution is known analytically [94, 135, 151] and the required anomalous dimensions are already known to NNLL [92, 112, 127, 130, 146, 147], because we have inclusive jet and beam functions.”
Finite top quark mass effects in NNLO Higgs boson production at LHC (2009, methodology): “More recently also the next-to-next-to-leading order (NNLO) corrections have been evaluated [9–12].”
Gluon-induced Higgs-strahlung at next-to-leading order QCD (2012, methodology): “In the latter, the Goldstone bosons are absent, but massless-quark loops contribute to the ggZ∗ vertex; these graphs are calculated with the program MINT [38].”
Factorization at the LHC: From PDFs to Initial State Jets (Ph.D. thesis) (2009, background): “A complete analysis combining both NLO corrections and NNLL resummation, and a more detailed analysis of scale uncertainties, is left for future work.”
Heavy-quark mass effects in Higgs boson production at the LHC (2013, background): “The NNLO matrix elements [34–36] are known only in the large-mt approximation.”
Soft-gluon resummation for Higgs boson production at hadron colliders (2003, background): “The virtual [7] and soft [19, 20, 21, 22] contributions (i.”