Higher-order soft corrections to lepton pair and Higgs boson production

By Sven-Olaf Moch, A. Vogt. 2005

292 citations recorded by the source corpus.

Abstract Utilizing recent three-loop results on the quark and gluon splitting functions and form factors, we derive the complete threshold-enhanced third-order (N 3 LO) QCD corrections to the total cross sections for the production of lepton pairs and the Higgs boson in hadron collisions. These results, for the latter case obtained in the heavy top-quark limit, are employed to extend the threshold resummation for these processes to the fourth logarithmic order. We investigate the numerical impact of the higher-order corrections for Higgs boson production at the Tevatron and the LHC. Our results, suitably treated in Mellin N -space, provide a sufficiently accurate approximation to the full N 3 LO contributions. Corrections of about 5% at the LHC and 10% at the Tevatron are found for typical Higgs masses. The N 3 LO predictions exhibit a considerably reduced dependence on the renormalization scale with, for the first time, stationary points close to the Higgs mass.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/66c02b873b180a880fdcfc5dc10a0d4c89be0e7c

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Citations in the corpus

Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion (2008, background): “It has been pointed out that the choice μ = MH may not correctly describe the Higgs production process [9, 12], and that the perturbative convergence is improved for μ = mH/2 [37].”
Higgs boson gluon–fusion production at threshold in N3LO QCD (2014, background): “ient to predict the value of the Higgs-boson cross-section at N3LO in QCD. Recently, various approximate N3LO cross-section estimates were put forward which rely crucially on the threshold assumption [6, 7, 8]. Given these considerations, it is important to quantify the reliability of the threshold ”
Handbook of LHC Higgs Cross Sections: 1. Inclusive Observables (2011, methodology): “This is supported by the better convergence of the cross section through NNLO and also after including the leading N3LO terms [19].”
Inadequacy of zero-width approximation for a light Higgs boson signal (2012, methodology): “NLO corrections of 80–100% at the LHC motivated the calculation of next-to-next-to-leading order (NNLO) QCD corrections in the heavy-top limit [15–17] enhanced by soft-gluon resummation at next-tonext-to-leading logarithmic (NNLL) level [18, 19] and beyond [20–25].”
Factorization at the LHC: From parton distribution functions to initial state jets (2010, background): “This Drell-Yan threshold limit has been studied extensively [42, 44, 68, 118, 126, 136, 150].”
High precision determination of the gluon fusion Higgs boson cross-section at the LHC (2016, methodology): “, up to g (3) H , which requires knowledge of the cusp anomalous dimension up to three loops [37, 91].”
Soft triple-real radiation for Higgs production at N3LO (2013, background): “In particular, we show that our method reproduces the correct results for the leading behavior of NLO and NNLO real emission amplitudes in the soft limit, as well as for the subleading terms in the expansion of the phase space volume up to N3LO and for a non-trivial double real emission master integ”
Finite top quark mass effects in NNLO Higgs boson production at LHC (2009, background): “Among them is the soft-gluon resummation to next-to-next-to-leading [18] and next-to-next-to-next-to-leading [19–21] logarithmic orders and the identification (and resummation) of certain π2 terms [22] which significantly improves the perturbative series.”