Reconstruction of top-quark mass effects in Higgs pair production and other gluon-fusion processes

A bstractWe propose a novel method for the treatment of top-quark mass effects in the production of H(∗), HH, HZ and ZZ final states in gluon fusion. We show that it is possible to reconstruct the full top-quark mass dependence of the virtual amplitudes from the corresponding large-mt expansion and the non-analytic part of the amplitude near the top-quark threshold ŝ = 4mt2 with a Padé ansatz. The reliability of our method is clearly demonstrated by a comparison with the recent NLO result for Higgs pair production with full top-quark mass dependence.

[1]  T. Becher,et al.  Introduction [to Lecture Notes in Physics, vol. 896] , 2015 .

[2]  E. Vryonidou,et al.  Top-quark mass effects in double and triple Higgs production in gluon-gluon fusion at NLO , 2014, 1408.6542.

[3]  K. Peters.  Higgs boson production at the LHC , 2015 .

[4]  M. Beneke,et al.  NNLL soft and Coulomb resummation for squark and gluino production at the LHC , 2016, Journal of High Energy Physics.

[5]  Michael Spannowsky,et al.  Maxi-sizing the trilinear Higgs self-coupling: how large could it be? , 2017, The European Physical Journal C.

[6]  M. Beneke,et al.  Four-fermion production near the W pair-production threshold , 2007, 0712.3201.

[7]  K. Melnikov,et al.  Higgs boson production in association with a jet at next-to-next-to-leading order in perturbative QCD , 2013, Journal of High Energy Physics.

[8]  M. Beneke,et al.  Hadronic top-quark pair production with NNLL threshold resummation , 2011, 1109.1536.

[9]  Matthias Steinhauser,et al.  Higgs boson pair production: top quark mass effects at NLO and NNLO , 2015, 1508.00909.

[10]  K. Melnikov,et al.  Higgs boson production in association with a jet at next-to-next-to-leading order , 2015, 1504.07922.

[11]  M. Mühlleitner,et al.  The measurement of the Higgs self-coupling at the LHC: theoretical status , 2012, 1212.5581.

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

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

[14]  V. M. Ghete,et al.  Evidence for the Higgs boson decay to a bottom quark–antiquark pair , 2018 .

[15]  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 .

[16]  K. Melnikov,et al.  Two-loop gg → Hg amplitude mediated by a nearly massless quark , 2016, Journal of High Energy Physics.

[17]  T. Becher,et al.  Introduction to Soft-Collinear Effective Theory , 2014, 1410.1892.

[18]  G.Heinrich,et al.  Full top quark mass dependence in Higgs boson pair production at NLO , 2016, 1608.04798.

[19]  The Lamb Shift in Dimensional Regularisation , 1997, hep-ph/9711292.

[20]  Ramona Gröber,et al.  On the two-loop virtual QCD corrections to Higgs boson pair production in the standard model , 2016, 1603.00385.

[21]  Jian Wang,et al.  Threshold resummation effects in Higgs boson pair production at the LHC , 2013, 1301.1245.

[22]  M. Beneke,et al.  Threshold resummation for pair production of coloured heavy (s)particles at hadron colliders , 2010, 1007.5414.

[23]  R. Mueller,et al.  On the computation of finite bottom-quark mass effects in Higgs boson production , 2015, 1512.08570.

[24]  M. Mühlleitner,et al.  Production of neutral Higgs-boson pairs at LHC , 1999, hep-ph/9904287.

[25]  Fabio Maltoni,et al.  Probing the Higgs self coupling via single Higgs production at the LHC , 2016, 1607.04251.

[26]  S. F. Novaes,et al.  Twin Higgs-boson production☆ , 1987 .

[27]  C. Bauer,et al.  Summing Sudakov logarithms in B ---> X(s gamma) in effective field theory , 2000, hep-ph/0005275.

[28]  M. McCullough.  An Indirect Model-Dependent Probe of the Higgs Self-Coupling , 2013, 1312.3322.

[29]  J. Latorre,et al.  Parton distributions for the LHC run II , 2014, 1410.8849.

[30]  R. Harlander,et al.  Top mass effects in Higgs production at next-to-next-to-leading order QCD: Virtual corrections , 2009, 0907.2997.

[31]  Giulia Zanderighi,et al.  Constraints on the trilinear Higgs coupling from vector boson fusion and associated Higgs production at the LHC , 2016, Journal of High Energy Physics.

[32]  T. Plehn,et al.  PAIR PRODUCTION OF NEUTRAL HIGGS PARTICLES IN GLUON-GLUON COLLISIONS , 1996 .

[33]  M. Kerner,et al.  NLO predictions for Higgs boson pair production with full top quark mass dependence matched to parton showers , 2017, 1703.09252.

[34]  C. Anastasiou,et al.  Higgs boson gluon-fusion production in QCD at three loops. , 2015, Physical review letters.

[35]  Cms Collaborations.  Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC $pp$ collision data at $\sqrt{s}=$ 7 and 8 TeV , 2016 .

[36]  C. Bauer,et al.  Soft collinear factorization in effective field theory , 2001, hep-ph/0109045.

[37]  A. Randle-conde,et al.  Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at √s = 7 and 8 TeV , 2016 .

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

[39]  T. Gehrmann,et al.  Precise QCD predictions for the production of Higgs + jet final states , 2014, 1408.5325.

[40]  M. Steinhauser,et al.  On top quark mass effects to gg → ZH at NLO , 2016, 1611.05881.

[41]  Potential NRQCD: an effective theory for heavy quarkonium , 1999, hep-ph/9907240.

[42]  D. Florian,et al.  A next-to-next-to-leading order calculation of soft-virtual cross sections , 2012, 1209.0673.

[43]  C. Focke,et al.  Higgs boson production in association with a jet using jettiness subtraction , 2015 .

[44]  G. Montagna,et al.  Higgs Boson production in , 1995, hep-ph/9501267.

[45]  P. Falgari,et al.  Inclusive top-pair production phenomenology with TOPIXS , 2012, 1206.2454.

[46]  D. Florian,et al.  Higgs pair production at next-to-next-to-leading logarithmic accuracy at the LHC , 2015, Journal of High Energy Physics.

[47]  M. Beneke,et al.  Top quark production near threshold and the top quark mass , 1999, hep-ph/9903260.

[48]  M. Czakon,et al.  Two loop correction to interference in gg → ZZ , 2016, 1605.01380.

[49]  C. Focke,et al.  Higgs boson production in association with a jet at NNLO using jettiness subtraction , 2015, 1505.03893.

[50]  K. Melnikov,et al.  Two-loop amplitudes for $q g \to H q$ and $q \bar{q} \to H g$ mediated by a nearly massless quark , 2017, 1702.00426.

[51]  Y. Kiyo,et al.  Reconstruction of heavy quark current correlators at O(αs3) , 2009, 0907.2120.

[52]  Jorge J. Moré,et al.  User Guide for Minpack-1 , 1980 .

[53]  S. Borowka,et al.  Higgs Boson Pair Production in Gluon Fusion at Next-to-Leading Order with Full Top-Quark Mass Dependence. , 2016, Physical review letters.

[54]  Jorge J. Moré,et al.  User guide for MINPACK-1. [In FORTRAN] , 1980 .

[55]  R. Harlander,et al.  Higgs production in gluon fusion at next-to-next-to-leading order QCD for finite top mass , 2009, 0912.2104.

[56]  Michael Spira,et al.  Neutral Higgs-Boson Pair Production at Hadron Colliders: QCD Corrections , 1998 .

[57]  C. Anastasiou,et al.  High precision determination of the gluon fusion Higgs boson cross-section at the LHC , 2016, 1602.00695.

[58]  M. Beneke,et al.  Third-order correction to top-quark pair production near threshold I. Effective theory set-up and matching coefficients , 2013, 1312.4791.

[59]  C. Bauer,et al.  An Effective field theory for collinear and soft gluons: Heavy to light decays , 2000, hep-ph/0011336.

[60]  Matthias Steinhauser,et al.  Finite top quark mass effects in NNLO Higgs boson production at LHC , 2009, 0911.4662.

[61]  M. Steinhauser,et al.  Virtual three-loop corrections to Higgs boson production in gluon fusion for finite top quark mass , 2009, 0907.2998.

[62]  D. Rathlev,et al.  Differential Higgs boson pair production at next-to-next-to-leading order in QCD , 2013, Physical review letters.

[63]  M. Beneke,et al.  NNLL soft and Coulomb resummation for squark and gluino production at the LHC , 2016, 1607.07574.

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

[65]  F. Tackmann,et al.  Resummation improved rapidity spectrum for gluon fusion Higgs production , 2017, 1702.00794.

[66]  K. Melnikov,et al.  QCD corrections to vector boson pair production in gluon fusion including interference effects with off-shell Higgs at the LHC , 2016, 1605.04610.

[67]  W. Y. Chan,et al.  Combinations of single-top-quark production cross-section measurements and |fLVVtb| determinations at s$$ \sqrt{s} $$ = 7 and 8 TeV with the ATLAS and CMS experiments , 2019, Journal of High Energy Physics.

[68]  M. Kelsey,et al.  Test of lepton universality with B 0 → K *0 ℓ + ℓ − decays , 2017, 1705.05802.

[69]  J. Bij,et al.  HIGGS BOSON PAIR PRODUCTION VIA GLUON FUSION , 1988 .

[70]  M. Beneke,et al.  Non-resonant and electroweak NNLO correction to the e+e− top anti-top threshold , 2017, 1711.10429.

[71]  M. Beneke,et al.  P-wave contribution to third-order top-quark pair production near threshold , 2013, 1312.4792.

[72]  R. Harlander,et al.  Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order , 2009, 0909.3420.

[73]  F. Dyson,et al.  FOURTH-ORDER VACUUM POLARIZATION , 1952 .

[74]  R. Frederix,et al.  Higgs pair production at the LHC with NLO and parton-shower effects , 2014, 1401.7340.

[75]  P. Falgari,et al.  Soft radiation in heavy-particle pair production: All-order colour structure and two-loop anomalous dimension , 2009, 0907.1443.

[76]  R. Bonciani,et al.  Analytic results for virtual QCD corrections to Higgs production and decay , 2006, hep-ph/0611266.

[77]  C. Focke,et al.  Z-Boson Production in Association with a Jet at Next-To-Next-To-Leading Order in Perturbative QCD. , 2015, Physical review letters.

[78]  M. Beneke,et al.  Dominant NNLO corrections to four-fermion production near the W-pair production threshold , 2008, 0807.0102.

[79]  J. Streicher,et al.  NLO QCD corrections to Higgs pair production including dimension-6 operators , 2015, 1504.06577.

[80]  Andreas Maier,et al.  Electroweak oblique parameters as a probe of the trilinear Higgs boson self-interaction , 2017, 1702.07678.

[81]  Martin Gorbahn,et al.  Indirect probes of the trilinear Higgs coupling: gg → h and h → γγ , 2016 .

[82]  M. Beneke,et al.  Soft-collinear effective theory and heavy-to-light currents beyond leading power , 2002, hep-ph/0206152.

[83]  Benjamin Assel.  The space of vacua of 3d N=3$$ \mathcal{N}=3 $$ abelian theories , 2017, 1706.00793.

[84]  M. Beneke,et al.  Electroweak non-resonant NLO corrections to e+ e- -> W+ W- b bbar in the t tbar resonance region , 2010, 1004.2188.

[85]  K. Melnikov,et al.  Virtual corrections to Higgs boson pair production in the large top quark mass limit , 2014, 1408.2422.

[86]  R. S. Thorne,et al.  Parton distributions for the LHC , 2007, 0901.0002.

[87]  Marco Fedele,et al.  Constraints on the trilinear Higgs self coupling from precision observables , 2017, Journal of High Energy Physics.

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

[89]  Li Lin Yang,et al.  Origin of the large perturbative corrections to Higgs production at hadron colliders , 2008, 0808.3008.

[90]  Matthew J. Dolan,et al.  Higgs self-coupling measurements at the LHC , 2012, 1206.5001.

[91]  M. Beneke,et al.  Next-to-Next-to-Next-to-Leading Order QCD Prediction for the Top Antitop S-Wave Pair Production Cross Section Near Threshold in e(+)e(-) Annihilation. , 2015, Physical review letters.

[92]  B. Jantzen,et al.  Next-to-next-to-leading order nonresonant corrections to threshold top-pair production from e(+)e(-) collisions: Endpoint-singular terms , 2013, 1307.4337.