Two-loop QCD corrections to the helicity amplitudes for H → 3 partons

By Thomas Gehrmann, M. Jaquier, E. Glover, A. Koukoutsakis. 2011

175 citations recorded by the source corpus.

A bstractMany search strategies for the Standard Model Higgs boson apply specific selection criteria on hadronic jets observed in association with the Higgs boson decay products, either in the form of a jet veto, or by defining event samples according to jet multiplicity. To improve the theoretical description of Higgs-boson-plus-jet production (and the closely related Higgs boson transverse momentum distribution), we derive the two-loop QCD corrections to the helicity amplitudes for the processes H → ggg and H → $ q\overline q g $ in an effective theory with infinite top quark mass. The helicity amplitudes are extracted from the coefficients appearing in the general tensorial structure for each process. The coefficients are derived from the Feynman graph amplitudes by means of projectors within the conventional dimensional regularization scheme. The infrared pole structure of our result agrees with the expectation from infrared factorization and the finite parts of the amplitudes are expressed in terms of one- and two-dimensional harmonic polylogarithms.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3c1a2e7bd99b2b6c794cbd71f52b5540dec86ad6

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In Nuclear and High Energy Physics

Citations in the corpus

NNLO QCD corrections to Higgs boson production at large transverse momentum (2016, background): “The contributions at higher orders are summarized in table 1, the relevant matrix elements at tree level [32–34], one loop [35–37] and two loops [38] were computed already a while ago.”
Soft triple-real radiation for Higgs production at N3LO (2013, background): “The corresponding one-loop, two-loop and three-loop amplitudes are already known in the literature as a Laurent expansion in ǫ [99–109].”
Les Houches 2017: Physics at TeV Colliders Standard Model Working Group Report (2017, background): “1 NNLOJET - NNLO Calculation of pp → H + j The NNLO corrections to pp→ H+j receive contributions from three types of parton-level subprocesses: the H+5 parton tree-level process [978–980] (double-real correction), the H+4 parton process at one-loop [981–983] (real–virtual correction), and the two-lo”
Mathematical aspects of scattering amplitudes (2014, methodology): “By now these techniques have also found there way into QCD computations, and have in particular been used to simplify the analytic expressions for the two-loop amplitudes for a Higgs boson plus three partons [30, 59, 60], light-quark contributions to top-pair production [61] as well as diboson produ”
Higgs boson gluon–fusion production at threshold in N3LO QCD (2014, background): “ions from the emission of up to three partons in the ﬁnal state at the same order in perturbation theory. So far, only the single-emission contributions at two loops are known for generic values of z [12, 13, 14, 16, 17], and only a few terms in the threshold expansion for the contributions with up ”
Color-kinematic duality for form factors (2012, background): “The same holds for the two-loop three-point computation whose QCD counterpart can be found in [27].”
A two-loop five-gluon helicity amplitude in QCD (2013, unknown): “ω = 〈23〉[31] s12 〈1|γμ|2] 2 − 〈13〉[32] s12 〈2|γμ|1] 2 (2.”