Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion

We compute the 3-loop (ααs) correction to the Higgs boson production cross section arising from light quarks using an effective theory approach. Our calculation probes the factorization of QCD and electroweak perturbative corrections to this process. We combine our results with the best current estimates for contributions from top and bottom quarks to derive an updated theoretical prediction for the Higgs boson production cross section in gluon fusion. With the use of the MSTW 2008 parton distribution functions that include the newest experimental data, our study results in cross sections approximately 4–6% lower for intermediate Higgs boson masses than those used in recent Tevatron analyses that imposed a 95% confidence level exclusion limit of a Standard Model Higgs boson with MH = 170 GeV.

[1]  M. Dührssen,et al.  Extracting Higgs boson couplings from CERN LHC data , 2004, hep-ph/0406323.

[2]  D. Graudenz,et al.  SUSY Higgs production at proton colliders , 1993 .

[3]  Guenther Dissertori,et al.  NNLO QCD predictions for the H → WW → ℓνℓν signal at the LHC , 2007, 0707.2373.

[4]  V. Ravindran,et al.  NNLO corrections to the total cross section for Higgs boson production in hadron-hadron collisions , 2003, hep-ph/0302135.

[5]  Kirill Melnikov,et al.  Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order , 2005 .

[6]  Chester W. Harris.  Review of This Issue , 1962 .

[7]  Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry , 2003, hep-ph/0311145.

[8]  M.Yu. Kalmykov,et al.  Massive Feynman diagrams and inverse binomial sums , 2004 .

[9]  C. Sturm,et al.  NNLO computational techniques: The cases H→γγ and H→gg , 2008 .

[10]  F. Tkachov.  A theorem on analytical calculability of 4-loop renormalization group functions , 1981 .

[11]  D. Graudenz,et al.  MSSM Higgs Boson Production at the LHC , 1997, hep-ph/9703355.

[12]  Fabio Maltoni,et al.  Two-loop electroweak corrections to Higgs production at hadron colliders , 2004 .

[13]  Robert Harlander,et al.  Higgs production and decay: analytic results at next-to-leading order QCD , 2005 .

[14]  C. Anastasiou,et al.  Automatic integral reduction for higher order perturbative calculations , 2004 .

[15]  T. Binoth,et al.  An automatized algorithm to compute infrared divergent multi-loop integrals , 2000 .

[16]  W. Tung,et al.  PQCD Formulations with Heavy Quark Masses and Global Analysis , 2008, 0809.0714.

[17]  Dawson,et al.  QCD Corrections to Supersymmetric Higgs Boson Production: The Role of Squark Loops. , 1996, Physical review letters.

[18]  R. Bonciani,et al.  Two-loop light fermion contribution to Higgs production and decays , 2004, hep-ph/0404071.

[19]  J. B. Tausk.  Non-planar massless two-loop Feynman diagrams with four on-shell legs , 1999 .

[20]  Li Lin Yang,et al.  Renormalization-group improved prediction for Higgs production at hadron colliders , 2008, 0809.4283.

[21]  Giovanni Ossola,et al.  Reducing full one-loop amplitudes to scalar integrals at the integrand level , 2006, hep-ph/0609007.

[22]  Kirill Melnikov,et al.  The electron energy spectrum in muon decay through (α2) , 2005 .

[23]  F. Tkachov,et al.  Integration by parts: The algorithm to calculate β-functions in 4 loops , 1981 .

[24]  Kirill Melnikov,et al.  Higgs-Boson production at hadron colliders: differential cross sections through next-to-next-to-leading order. , 2004, Physical review letters.

[25]  Charalampos Anastasiou,et al.  Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop , 2007 .

[26]  B. Kniehl,et al.  Decoupling relations to O(a s 3) and their connection to low-energy theorems , 1998 .

[27]  C. Anastasiou,et al.  Numerical evaluation of loop integrals , 2005, hep-ph/0511176.

[28]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[29]  R. S. Thorne,et al.  Update of Parton Distributions at NNLO , 2007, 0706.0459.

[30]  The On-shell massless planar double box diagram with an irreducible numerator , 2000, hep-ph/0005328.

[31]  John Ellis,et al.  Int. J. Mod. Phys. , 2005 .

[32]  Daniel Maître.  HPL, a Mathematica implementation of the harmonic polylogarithms , 2006, Comput. Phys. Commun..

[33]  Differential equations for Feynman graph amplitudes , 1997, hep-th/9711188.

[34]  E. Braaten,et al.  Higgs-boson decay and the running mass , 1980 .

[35]  P. Zerwas,et al.  Production of Higgs bosons in proton colliders , 1991 .

[36]  V. Smirnov.  Applied Asymptotic Expansions in Momenta and Masses , 2001 .

[37]  V. Smirnov,et al.  Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators , 1999 .

[38]  M. Steinhauser,et al.  Higgs Decay to Gluons at NNLO , 2007, 0708.0916.

[39]  S. Forte,et al.  Finite-top-mass effects in NNLO Higgs production , 2008, 0809.4934.

[40]  A. Martin,et al.  Parton distributions for the LHC , 2009, 0901.0002.

[41]  R. Bonciani,et al.  Vertex diagrams for the QED form factors at the 2-loop level , 2003 .

[42]  Analytical result for the two-loop QCD correction to the decay H→2γ , 2004, hep-ph/0401090.

[43]  J. Huston,et al.  Implications of CTEQ global analysis for collider observables , 2008, 0802.0007.

[44]  J. Fleischer,et al.  Calculation of Feynman diagrams from their small momentum expansion , 1994 .

[45]  Zerwas,et al.  QCD corrections to Higgs-boson production at proton-proton colliders. , 1993, Physical review letters.

[46]  J. Vermaseren,et al.  Harmonic Polylogarithms , 1999, hep-ph/9905237.

[47]  S. Dawson.  Radiative corrections to Higgs boson production , 1991 .

[48]  A. Kotikov.  Differential equations method. New technique for massive Feynman diagram calculation , 1991 .

[49]  Michael Spira,et al.  Soft gluon radiation in Higgs boson production at the LHC , 1996, hep-ph/9611272.

[50]  Massimiliano Grazzini,et al.  Next-to-next-to-leading-order subtraction formalism in hadron collisions and its application to Higgs-boson production at the large hadron collider. , 2007, Physical review letters.

[51]  S. Catani.  The singular behaviour of QCD amplitudes at two-loop order , 1998, hep-ph/9802439.

[52]  B. A. Kniehl,et al.  Hadronic Higgs Decay to Order α 4 s , 1997 .

[53]  A. Vicini,et al.  Two-loop electroweak corrections to Higgs production in proton-proton collisions , 2006 .

[54]  R. Harlander,et al.  Next-to-next-to-leading order Higgs production at Hadron Colliders. , 2002, Physical review letters.

[55]  Michal Czakon,et al.  Automatized analytic continuation of Mellin-Barnes integrals , 2005, Computer Physics Communications.

[56]  C. Anastasiou,et al.  QCD radiation effects on the H ---> WW ---> l nu l nu signal at the LHC. , 2008, 0801.2682.

[57]  J. Fleischer,et al.  Two-loop two-point functions with masses: asymptotic expansions and Taylor series, in any dimension , 1993 .

[58]  C. Sturm,et al.  Precise Charm and Bottom quark masses , 2007, 0705.2335.

[59]  P. Zerwas,et al.  Production of Higgs bosons in proton colliders: QCD corrections , 1991 .

[60]  M. Yu. Kalmykov,et al.  lsjk - a C++ library for arbitrary-precision numeric evaluation of the generalized log-sine functions , 2005, Comput. Phys. Commun..

[61]  F. T. Collaboration,et al.  Combined CDF and Dzero Upper Limits on Standard Model Higgs-Boson Production , 2007, 0808.0534.

[62]  C. Anastasiou,et al.  Higgs Boson Production at Hadron Colliders in NNLO QCD , 2002, hep-ph/0207004.

[63]  T. Binoth,et al.  Numerical evaluation of multi-loop integrals by sector decomposition , 2004 .

[64]  M. Grazzini,et al.  Soft-gluon resummation for Higgs boson production at hadron colliders , 2003, hep-ph/0306211.

[65]  S. Dawson,et al.  The one particle inclusive differential cross section for heavy quark production in hadronic collisions , 1989 .

[66]  S. Laporta,et al.  difference equations , 2001 .

[67]  C. Sturm,et al.  NLO Electroweak Corrections to Higgs Boson Production at Hadron Colliders , 2008, 0809.1301.

[68]  S. Moch,et al.  Higher-order soft corrections to lepton pair and Higgs boson production , 2005 .

[69]  M. Grazzini,et al.  NNLO predictions for the Higgs boson signal in the H → WW → lνlν and H → ZZ → 4l decay channels , 2008, 0801.3232.