Two-loop electroweak corrections to the Higgs-boson decay

Abstract

The complete set of two-loop electroweak corrections to the decay width of the Higgs boson into two photons is presented. Two-loop contributions involving weak bosons and the top quark are computed in terms of an expansion in the Higgs external momentum. Adding these results to the previously known light fermion contributions, we find that the total electroweak corrections for a Higgs boson with 100 GeV m H 150 GeV are moderate and negative, between −4% δ EW 0%. Combination with the QCD corrections, which are small and positive, gives a total correction to the one-loop results of |δ EW +QCD | 1.5%.

eHDECAY: An implementation of the Higgs effective Lagrangian into HDECAY

“…where A SM ew (γγ) denotes the SM amplitude which comprises the NLO electroweak corrections [31,35]. Equation (3.28) …”

Scalar particle contribution to Higgs production via gluon fusion at NLO

“…As already pointed out in Refs. [32,33], the SM NLO EW and QCD corrections basically cancel each other. The effect of the charged scalar particle, on top of the Standard Model particles, is to reduce the LO SM decay width into two photons.…”

Fiducial cross sections for Higgs boson production in association with a jet at next-to-next-to-leading order in QCD

“…Predictions for Higgs boson decays into a pair of bottom quarks are known through NNLO QCD [15,16]. Similarly, the process H → γγ is known to two loops in QCD and the electroweak model [17][18][19][20]. The more complex Higgs boson decays through ZZ and WW bosons into four-lepton final states, which involve finite width and interference effects, are known to NLO [21,22].…”