# Higgs boson plus dijets: higher order corrections

## Abstract

The gluon fusion component of Higgs-boson production in association with dijets is of particular interest because it both (a) allows for a study of the *CP*-structure of the Higgs-boson couplings to gluons, and (b) provides a background to the otherwise clean study of Higgs-boson production through vector-boson fusion. The degree to which this background can be controlled, and the *CP*-structure of the gluon-Higgs coupling extracted,both depend on the successful description of the perturbative corrections to the gluon-fusion process.

*High Energy Jets* (HEJ) provides all-order, perturbative predictions for multi-jet processes at hadron colliders at a fully exclusive, partonic level. We develop the framework of HEJ to include the process of Higgs-boson production in association with at least two jets. We discuss the logarithmic accuracy obtained in the underlying all-order results, and calculate the first next-to-leading corrections to the framework of HEJ, thereby significantly reducing the corrections which arise by matching to and merging fixed-order results.

Finally, we compare predictions for relevant observables obtained with NLO and HEJ. We observe that the selection criteria commonly used for isolating the vector-boson fusion component suppresses the gluon-fusion component even further than predicted at NLO.

## Keywords

Jets QCD Phenomenology## Notes

### **Open Access**

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## References

- [1]ATLAS collaboration,
*Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC*,*Phys. Lett.***B 716**(2012) 1 [arXiv:1207.7214] [INSPIRE]. - [2]CMS collaboration,
*Observation of a new boson at a mass of*125*GeV with the CMS experiment at the LHC*,*Phys. Lett.***B 716**(2012) 30 [arXiv:1207.7235] [INSPIRE]. - [3]ATLAS collaboration,
*Evidence for the spin-*0*nature of the Higgs boson using ATLAS data*,*Phys. Lett.***B 726**(2013) 120 [arXiv:1307.1432] [INSPIRE]. - [4]ATLAS collaboration,
*Measurements of Higgs boson production and couplings in diboson final states with the ATLAS detector at the LHC*,*Phys. Lett.***B 726**(2013) 88 [*Erratum ibid.***B 734**(2014) 406] [arXiv:1307.1427] [INSPIRE]. - [5]ATLAS collaboration,
*Measurement of the Higgs boson mass from the H*→*γγ and H*→*ZZ*^{*}→ 4*ℓ channels with the ATLAS detector using*25*fb*^{−1}*of pp collision data*,*Phys. Rev.***D 90**(2014) 052004 [arXiv:1406.3827] [INSPIRE]. - [6]ATLAS collaboration,
*Measurements of Higgs boson production and couplings in the four-lepton channel in pp collisions at center-of-mass energies of*7*and*8*TeV with the ATLAS detector*,*Phys. Rev.***D 91**(2015) 012006 [arXiv:1408.5191] [INSPIRE]. - [7]ATLAS collaboration,
*Measurement of Higgs boson production in the diphoton decay channel in pp collisions at center-of-mass energies of*7*and*8*TeV with the ATLAS detector*,*Phys. Rev.***D 90**(2014) 112015 [arXiv:1408.7084] [INSPIRE]. - [8]CMS collaboration,
*Study of the mass and spin-parity of the Higgs boson candidate via its decays to Z boson pairs*,*Phys. Rev. Lett.***110**(2013) 081803 [arXiv:1212.6639] [INSPIRE]. - [9]CMS collaboration,
*Measurement of the properties of a Higgs boson in the four-lepton final state*,*Phys. Rev.***D 89**(2014) 092007 [arXiv:1312.5353] [INSPIRE]. - [10]CMS collaboration,
*Constraints on the Higgs boson width from off-shell production and decay to Z-boson pairs*,*Phys. Lett.***B 736**(2014) 64 [arXiv:1405.3455] [INSPIRE]. - [11]CMS collaboration,
*Observation of the diphoton decay of the Higgs boson and measurement of its properties*,*Eur. Phys. J.***C 74**(2014) 3076 [arXiv:1407.0558] [INSPIRE]. - [12]J.R. Andersen, T. Binoth, G. Heinrich and J.M. Smillie,
*Loop induced interference effects in Higgs Boson plus two jet production at the LHC*,*JHEP***02**(2008) 057 [arXiv:0709.3513] [INSPIRE].ADSCrossRefGoogle Scholar - [13]A. Bredenstein, K. Hagiwara and B. Jäger,
*Mixed QCD-electroweak contributions to Higgs-plus-dijet production at the LHC*,*Phys. Rev.***D 77**(2008) 073004 [arXiv:0801.4231] [INSPIRE].ADSGoogle Scholar - [14]L.J. Dixon and Y. Sofianatos,
*Analytic one-loop amplitudes for a Higgs boson plus four partons*,*JHEP***08**(2009) 058 [arXiv:0906.0008] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar - [15]ATLAS collaboration,
*Measurements of fiducial and differential cross sections for Higgs boson production in the diphoton decay channel at*\( \sqrt{s}=8 \)*TeV with ATLAS*,*JHEP***09**(2014) 112 [arXiv:1407.4222] [INSPIRE]. - [16]ATLAS collaboration,
*Fiducial and differential cross sections of Higgs boson production measured in the four-lepton decay channel in pp collisions at*\( \sqrt{s}=8 \)*TeV with the ATLAS detector*,*Phys. Lett.***B 738**(2014) 234 [arXiv:1408.3226] [INSPIRE]. - [17]V. Del Duca, W. Kilgore, C. Oleari, C. Schmidt and D. Zeppenfeld,
*Higgs +*2*jets via gluon fusion*,*Phys. Rev. Lett.***87**(2001) 122001 [hep-ph/0105129] [INSPIRE]. - [18]V. Del Duca, W. Kilgore, C. Oleari, C. Schmidt and D. Zeppenfeld,
*Gluon fusion contributions to H +*2*jet production*,*Nucl. Phys.***B 616**(2001) 367 [hep-ph/0108030] [INSPIRE]. - [19]G. Klämke and D. Zeppenfeld,
*Higgs plus two jet production via gluon fusion as a signal at the CERN LHC*,*JHEP***04**(2007) 052 [hep-ph/0703202] [INSPIRE]. - [20]J.R. Andersen, K. Arnold and D. Zeppenfeld,
*Azimuthal angle correlations for Higgs boson plus multi-jet events*,*JHEP***06**(2010) 091 [arXiv:1001.3822] [INSPIRE].ADSCrossRefzbMATHGoogle Scholar - [21]Y.L. Dokshitzer, V.A. Khoze and T. Sjöstrand,
*Rapidity gaps in Higgs production*,*Phys. Lett.***B 274**(1992) 116 [INSPIRE].ADSCrossRefGoogle Scholar - [22]ATLAS collaboration,
*Measurement of dijet production with a veto on additional central jet activity in pp collisions at*\( \sqrt{s}=7 \)*TeV using the ATLAS detector*,*JHEP***09**(2011) 053 [arXiv:1107.1641] [INSPIRE]. - [23]ATLAS collaboration,
*Measurements of jet vetoes and azimuthal decorrelations in dijet events produced in pp collisions at*\( \sqrt{s}=7 \)*TeV using the ATLAS detector*,*Eur. Phys. J.***C 74**(2014) 3117 [arXiv:1407.5756] [INSPIRE]. - [24]D0 collaboration, V.M. Abazov et al.,
*Studies of W boson plus jets production in*\( p\overline{p} \)*collisions at*\( \sqrt{s}=1.96 \)*TeV*,*Phys. Rev.***D 88**(2013) 092001 [arXiv:1302.6508] [INSPIRE]. - [25]V.S. Fadin, E.A. Kuraev and L.N. Lipatov,
*On the Pomeranchuk singularity in asymptotically free theories*,*Phys. Lett.***B 60**(1975) 50 [INSPIRE].ADSCrossRefGoogle Scholar - [26]E.A. Kuraev, L.N. Lipatov and V.S. Fadin,
*Multi-Reggeon processes in the Yang-Mills theory*,*Sov. Phys. JETP***44**(1976) 443 [*Zh. Eksp. Teor. Fiz.***71**(1976) 840] [INSPIRE]. - [27]E.A. Kuraev, L.N. Lipatov and V.S. Fadin,
*The Pomeranchuk singularity in non-Abelian gauge theories*,*Sov. Phys. JETP***45**(1977) 199 [*Zh. Eksp. Teor. Fiz.***72**(1977) 377] [INSPIRE]. - [28]I.I. Balitsky and L.N. Lipatov,
*The Pomeranchuk singularity in quantum chromodynamics*,*Sov. J. Nucl. Phys.***28**(1978) 822 [*Yad. Fiz.***28**(1978) 1597] [INSPIRE]. - [29]ATLAS collaboration,
*Measurements of the W production cross sections in association with jets with the ATLAS detector*,*Eur. Phys. J.***C 75**(2015) 82 [arXiv:1409.8639] [INSPIRE]. - [30]J.R. Andersen and J.M. Smillie,
*Constructing all-order corrections to multi-jet rates*,*JHEP***01**(2010) 039 [arXiv:0908.2786] [INSPIRE].ADSCrossRefzbMATHGoogle Scholar - [31]J.R. Andersen and J.M. Smillie,
*The factorisation of the t-channel pole in quark-gluon scattering*,*Phys. Rev.***D 81**(2010) 114021 [arXiv:0910.5113] [INSPIRE].ADSGoogle Scholar - [32]J.R. Andersen and J.M. Smillie,
*Multiple jets at the LHC with high energy jets*,*JHEP***06**(2011) 010 [arXiv:1101.5394] [INSPIRE].ADSCrossRefGoogle Scholar - [33]J.R. Andersen, T. Hapola and J.M. Smillie,
*W plus multiple jets at the LHC with high energy jets*,*JHEP***09**(2012) 047 [arXiv:1206.6763] [INSPIRE].ADSCrossRefGoogle Scholar - [34]J.R. Andersen, J.J. Medley and J.M. Smillie,
*Z/γ*^{*}*plus multiple hard jets in high energy collisions*,*JHEP***05**(2016) 136 [arXiv:1603.05460] [INSPIRE].ADSCrossRefGoogle Scholar - [35]CMS collaboration,
*Measurement of the inclusive production cross sections for forward jets and for dijet events with one forward and one central jet in pp collisions at*\( \sqrt{s}=7 \)*TeV*,*JHEP***06**(2012) 036 [arXiv:1202.0704] [INSPIRE]. - [36]S. Catani, F. Krauss, R. Kuhn and B.R. Webber,
*QCD matrix elements + parton showers*,*JHEP***11**(2001) 063 [hep-ph/0109231] [INSPIRE]. - [37]L. Lönnblad,
*ARIADNE version*4*: a program for simulation of QCD cascades implementing the color dipole model*,*Comput. Phys. Commun.***71**(1992) 15 [INSPIRE].ADSCrossRefGoogle Scholar - [38]R.C. Brower, C.E. DeTar and J.H. Weis,
*Regge theory for multiparticle amplitudes*,*Phys. Rept.***14**(1974) 257 [INSPIRE].ADSCrossRefGoogle Scholar - [39]V.S. Fadin, R. Fiore, M.G. Kozlov and A.V. Reznichenko,
*Proof of the multi-Regge form of QCD amplitudes with gluon exchanges in the NLA*,*Phys. Lett.***B 639**(2006) 74 [hep-ph/0602006] [INSPIRE]. - [40]J. Alwall et al.,
*The automated computation of tree-level and next-to-leading order differential cross sections and their matching to parton shower simulations*,*JHEP***07**(2014) 079 [arXiv:1405.0301] [INSPIRE].ADSCrossRefGoogle Scholar - [41]V. Del Duca,
*Equivalence of the Parke-Taylor and the Fadin-Kuraev-Lipatov amplitudes in the high-energy limit*,*Phys. Rev.***D 52**(1995) 1527 [hep-ph/9503340] [INSPIRE]. - [42]S.J. Parke and T.R. Taylor,
*An amplitude for n gluon scattering*,*Phys. Rev. Lett.***56**(1986) 2459 [INSPIRE].ADSCrossRefGoogle Scholar - [43]V. Del Duca,
*Parke-Taylor amplitudes in the multi-Regge kinematics*,*Phys. Rev.***D 48**(1993) 5133 [hep-ph/9304259] [INSPIRE]. - [44]A.V. Bogdan and V.S. Fadin,
*A proof of the reggeized form of amplitudes with quark exchanges*,*Nucl. Phys.***B 740**(2006) 36 [hep-ph/0601117] [INSPIRE]. - [45]V.S. Fadin, M.G. Kozlov and A.V. Reznichenko,
*Radiative corrections to QCD amplitudes in quasimulti-Regge kinematics*,*Phys. Atom. Nucl.***67**(2004) 359 [*Yad. Fiz.***67**(2004) 377] [hep-ph/0302224] [INSPIRE]. - [46]
- [47]V.S. Fadin and L.N. Lipatov,
*Next-to-leading corrections to the BFKL equation from the gluon and quark production*,*Nucl. Phys.***B 477**(1996) 767 [hep-ph/9602287] [INSPIRE]. - [48]A.V. Bogdan, V. Del Duca, V.S. Fadin and E.W.N. Glover,
*The quark Regge trajectory at two loops*,*JHEP***03**(2002) 032 [hep-ph/0201240] [INSPIRE]. - [49]V. Del Duca, A. Frizzo and F. Maltoni,
*Factorization of tree QCD amplitudes in the high-energy limit and in the collinear limit*,*Nucl. Phys.***B 568**(2000) 211 [hep-ph/9909464] [INSPIRE]. - [50]V. Del Duca, W. Kilgore, C. Oleari, C.R. Schmidt and D. Zeppenfeld,
*Kinematical limits on Higgs boson production via gluon fusion in association with jets*,*Phys. Rev.***D 67**(2003) 073003 [hep-ph/0301013] [INSPIRE]. - [51]J.R. Andersen and C.D. White,
*A new framework for multijet predictions and its application to Higgs boson production at the LHC*,*Phys. Rev.***D 78**(2008) 051501 [arXiv:0802.2858] [INSPIRE].ADSGoogle Scholar - [52]J.R. Andersen, V. Del Duca and C.D. White,
*Higgs boson production in association with multiple hard jets*,*JHEP***02**(2009) 015 [arXiv:0808.3696] [INSPIRE].ADSCrossRefGoogle Scholar - [53]M.J. Dolan, P. Harris, M. Jankowiak and M. Spannowsky,
*Constraining CP-violating Higgs sectors at the LHC using gluon fusion*,*Phys. Rev.***D 90**(2014) 073008 [arXiv:1406.3322] [INSPIRE].ADSGoogle Scholar - [54]S. Dulat et al.,
*New parton distribution functions from a global analysis of quantum chromodynamics*,*Phys. Rev.***D 93**(2016) 033006 [arXiv:1506.07443] [INSPIRE].ADSGoogle Scholar - [55]A. Buckley et al.,
*LHAPDF*6*: parton density access in the LHC precision era*,*Eur. Phys. J.***C 75**(2015) 132 [arXiv:1412.7420] [INSPIRE].ADSCrossRefGoogle Scholar - [56]J.M. Campbell, R.K. Ellis and G. Zanderighi,
*Next-to-leading order Higgs +*2*jet production via gluon fusion*,*JHEP***10**(2006) 028 [hep-ph/0608194] [INSPIRE]. - [57]J.M. Campbell, R.K. Ellis and C. Williams,
*Hadronic production of a Higgs boson and two jets at next-to-leading order*,*Phys. Rev.***D 81**(2010) 074023 [arXiv:1001.4495] [INSPIRE].ADSGoogle Scholar