Higgs production and decay: analytic results at next-to-leading order QCD

By Robert V. Harlander, Philipp Kant. 2005

328 citations recorded by the source corpus.

The virtual two-loop corrections for Higgs production in gluon fusion are calculated analytically in QCD for arbitrary Higgs and quark masses. Both scalar and pseudo-scalar Higgs bosons are considered. The results are obtained by expanding the known one-dimensional integral representation in terms of mH/mq, and matching it with a suitably chosen ansatz of Harmonic Polylogarithms. This ansatz is motivated by the known analytic result for the Higgs decay rate into two photons. The method also allows us to check this result and to extend it to the pseudo-scalar decay rate.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a34a2f882cdb4610c7f462ab945d1d033247d0cc

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In Nuclear and High Energy Physics

Citations in the corpus

Heavy-quark mass effects in Higgs boson production at the LHC (2013, unknown): “[31] and eq.”
Factorization at the LHC: From PDFs to Initial State Jets (Ph.D. thesis) (2009, background): “m2 H , but we will keep q 2 general in the below discussion. In pure dimensional regularization the matching coecient C ggH(m t;q2) is given by the infrared-nite part of the on-shell ggHform factor [10, 111, 115, 152]. At NLO this yields H ggH(m t;q 2;) = 2 s() F(0)(ˆ=4) 2 2 ˆ 1 + s() 2ˇ C A ln2 q”
SusHi: A program for the calculation of Higgs production in gluon fusion and bottom-quark annihilation in the Standard Model and the MSSM (2012, unknown): “[55] which was obtained from the integral representation in Ref.”
Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop (2006, methodology): “Our results for these pieces fully agree with the ones quoted in [25].”
Constraints on new phenomena via Higgs boson couplings and invisible decays with the ATLAS detector (2015, methodology): “J H E P 1 1 ( 2 0 1 5 ) 2 0 6 the WIMP and nucleons via Higgs boson exchange, σχ−N [19]: scalar S : σS−N = λ 2 hSS m4Nf 2 N 16πm4h(mS +mN ) 2 fermion f : σf−N = λ2hff Λ2 m4Nf 2 Nm 2 f 4πm4h(mf +mN ) 2 (9.3) vector V : σV−N = λ 2 hV V m4Nf 2 N 16πm4h(mV +mN ) 2 , where mN ∼ 0.94 GeV is the nucleon ma”
Handbook of LHC Higgs Cross Sections: 3. Higgs Properties (2013, methodology): “While the gluonic corrections to the quark contributions [37, 684] are implemented for generic quark and Higgs-boson masses, for the two-loop contributions involving squarks we use reasonable approximations, valid as long as the Higgs mass does not exceed the lowest threshold for squark production.”
High precision determination of the gluon fusion Higgs boson cross-section at the LHC (2016, background): “The exact mass dependence of the cross-section is also known at NLO [5, 6, 7, 8, 9, 10, 11, 12, 40], and we can thus include all effects from top, bottom and charm quarks up to that order.”