Renormalization-group improved prediction for Higgs production at hadron colliders

By Valentin Ahrens, T. Becher, M. Neubert, Li Lin Yang. 2008

259 citations recorded by the source corpus.

We use renormalization-group methods in effective field theory to improve the theoretical prediction for the cross section for Higgs-boson production at hadron colliders. In addition to soft-gluon resummation at N3LL, we also resum enhanced contributions of the form (CAπαs)n, which arise in the analytic continuation of the gluon form factor to time-like momentum transfer. This resummation is achieved by evaluating the matching corrections arising at the Higgs-boson mass scale at a time-like renormalization point μ2<0, followed by renormalization-group evolution to μ2>0. We match our resummed result to NNLO fixed-order perturbation theory and give numerical predictions for the total production cross section as a function of the Higgs-boson mass. Resummation effects are significant even at NNLO, where our improved predictions for the cross sections at the Tevatron and the LHC exceed the fixed-order predictions by about 13% and 8%, respectively, for mH=120 GeV. We also discuss the application of our technique to other time-like processes such as Drell–Yan production, e+e−→hadrons, and hadronic decays of the Higgs boson.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/81c43c281ac037e3d67bdd1b9f26c9b573d41c1b

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In Nuclear and High Energy Physics

Citations in the corpus

Calculation of the quark and gluon form factors to three loops in QCD (2010, background): “Experimentally relevant examples are the Drell-Yan and Higgs production processes in hadron-hadron colliders.”
Soft gluon resummation for gluon-induced Higgs Strahlung (2014, background): “The most prominent example is the inclusive Higgs production via gluon fusion, gg → H [21–32].”
SusHi: A program for the calculation of Higgs production in gluon fusion and bottom-quark annihilation in the Standard Model and the MSSM (2012, unknown): “Even higher order QCD effects have been calculated [19–24] through resummation; electro-weak contributions reach up to 8% with respect to the leading order (LO) cross section [25–27].”
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].”
Higgs boson gluon–fusion production at threshold in N3LO QCD (2014, background): “A similar ambiguity appears to be responsible [28, 29] for the bulk of the difference in the numerical predictions for the Higgs cross-section at N3LO in various approaches and implementations of threshold resummation [5].”
Soft gluon resummation in the signal-background interference process of gg(→ h∗) → ZZ (2015, methodology): “(2.6) The hard functions for the signal and interference processes are given respectively by Hsig(MZZ , µ) = |Ch(iMZZ , µ)|2 , Hint(MZZ , µ) = Re [Ch(iMZZ , µ)C∗V V (iMZZ , µ)] , (2.7) where the hard Wilson coefficient Ca(iMZZ , µ) is obtained by matching the gluon operator from QCD to SCET [30].”
Introduction to Soft-Collinear Effective Theory (2014, background): “However, one can show that the formalisms are equivalent and relate their ingredients order-by-order in perturbation theory [10, 38, 40].”
Higgs boson self-coupling measurements using ratios of cross sections (2013, background): “For other resummation studies in single Higgs production see, for example [63–65].”
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 � 2 terms [ 22 ] which significantly improves the perturbative series.”
High precision determination of the gluon fusion Higgs boson cross-section at the LHC (2016, result): “[39, 103] we choose the average of both scales,”
Higgs production with a central jet veto at NNLL+NNLO (2010, background): “[84, 85], where it was shown to improve the perturbative convergence of the hard matching coefficient.”