Soft and virtual corrections to pp{r_arrow}H+X at next-to-next-to-leading order

The contributions of virtual corrections and soft gluon emission to the inclusive Higgs boson production cross section pp{r_arrow}H+X are computed at next-to-next-to-leading order in the heavy top quark limit. We show that this part of the total cross section is well behaved in the sense of perturbative convergence, with the NNLO corrections amounting to an enhancement of the NLO cross section by {similar_to}5% for the CERN LHC and 10{endash}20% for the Fermilab Tevatron. We compare our results with an existing estimate of the full NNLO effects and argue that an analytic evaluation of the hard scattering contributions is needed.

[1]  D. Florian,et al.  Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO , 2001, hep-ph/0102227.

[2]  P. A. McNamara.  The search for the standard model Higgs boson at ALEPH , 2000 .

[3]  J. Hobbs,et al.  Report of the Tevatron Higgs working group , 2000 .

[4]  A. Vogt.  Next-to-next-to-leading logarithmic threshold resummation for deep-inelastic scattering and the Drell–Yan process , 2000, hep-ph/0010146.

[5]  R. Harlander.  Virtual corrections to /gg-->H to two loops in the heavy top limit , 2000, hep-ph/0007289.

[6]  P. Baikov,et al.  Equivalence of recurrence relations for Feynman integrals with the same total number of external and loop momenta , 2000, hep-ph/0001192.

[7]  C. Schmidt,et al.  Infrared behavior of one-loop QCD amplitudes at next-to-next-to-leading order , 1999, hep-ph/9903516.

[8]  J. Huston,et al.  Global QCD analysis of parton structure of the nucleon: CTEQ5 parton distributions , 1999, hep-ph/9903282.

[9]  S. Heinemeyer,et al.  The masses of the neutral ${\cal CP}$-even Higgs bosons in the MSSM: Accurate analysis at the two-loop level , 1998, hep-ph/9812472.

[10]  T. Han,et al.  Exploiting h ! WWDecays at the Upgraded Fermilab Tevatron , 1998, hep-ph/9812275.

[11]  S. Desai,et al.  Erratum: Production of a Higgs boson plus two jets in hadronic collisions [Phys. Rev. D 55, 4005 (1997)] , 1998 .

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

[13]  C. Schmidt.  H-->ggg(gqqbar) at Two Loops in the Large-M_t Limit , 1997, hep-ph/9707448.

[14]  Matthias Steinhauser,et al.  Hadronic Higgs Boson Decay to Order as4 , 1997 .

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

[16]  S. Desai,et al.  Production of a Higgs boson plus two jets in hadronic collisions , 1996, hep-ph/9610541.

[17]  D. Graudenz,et al.  HIGGS BOSON PRODUCTION AT THE LHC , 1995, hep-ph/9504378.

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

[19]  Z. Bern,et al.  The Computation of loop amplitudes in gauge theories , 1992 .

[20]  Dawson,et al.  Production rates for Higgs boson plus multiple jets at the Superconducting Super Collider. , 1992, Physical review letters.

[21]  Roelof Hamberg,et al.  A complete calculation of the order αs2 correction to the Drell-Yan K-factor , 1991 .

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

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

[24]  S. Catani,et al.  Comment of QCD exponentiation at large x , 1991 .

[25]  B. Webber,et al.  QCD coherent branching and semi-inclusive processes at large χ , 1991 .

[26]  S. Catani,et al.  Resummation of the QCD perturbative series for hard processes , 1989 .

[27]  W. Neerven,et al.  The calculation of the second order soft and virtual contributions to the Drell-Yan cross section , 1989 .

[28]  P. Mackenzie,et al.  Soft Gluons and the Normalization of the {Drell-Yan} Cross-section , 1988 .

[29]  G. Sterman.  Summation of Large Corrections to Short Distance Hadronic Cross-Sections , 1987 .

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

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

[32]  R. Petronzio,et al.  Evolution of parton densities beyond leading order. The non-singlet case , 1980 .

[33]  A. Vainshtein,et al.  REVIEWS OF TOPICAL PROBLEMS: Higgs particles , 1980 .

[34]  T. Rizzo.  Gluon final states in Higgs-boson decay , 1980 .

[35]  J. Ellis,et al.  Is the Mass of the Higgs Boson About 10-GeV? , 1979 .

[36]  H. Georgi,et al.  Higgs Bosons from Two-Gluon Annihilation in Proton-Proton Collisions , 1978 .

[37]  F. Wilczek.  Decays of Heavy Vector Mesons into Higgs Particles , 1977 .

[38]  G. Parisi,et al.  Asymptotic Freedom in Parton Language , 1977 .

[39]  K. Chetyrkin,et al.  Nonleading mass corrections and renormalization of the operators m psi-bar psi and g**2(mu nu) , 1988 .