Top Quark Mass Effects in Higgs Boson Production at Four-Loop Order: Virtual Corrections

Davies, Joshua; Herren, Florian; Steinhauser, Matthias

doi:10.1103/physrevlett.124.112002

Cited by 13 publications

(13 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Our computation of the virtual corrections follows [30], in which we computed the top quark contributions to the gluon-gluon-Higgs form factor. In the following, we discuss the computational setup and present analytical results for the h → γγ form factor.…”

Section: Calculation Of N 3 Lo Virtual Correctionsmentioning

confidence: 99%

“…In the following, we discuss the computational setup and present analytical results for the h → γγ form factor. These corrections can not be obtained from the results of [30], since starting from three loops it is not possible to simply substitute colour factors.…”

Section: Calculation Of N 3 Lo Virtual Correctionsmentioning

confidence: 99%

“…This is in contrast to the gluon-gluon-Higgs form factor discussed in Ref. [30]. Since the top quark does not appear as a dynamical degree of freedom at energy scales of the order of the Higgs boson mass, we transform α s from the six-to the five-flavour scheme, using the two-loop decoupling constant 2 .…”

Section: Computational Setupmentioning

confidence: 99%

See 2 more Smart Citations

Higgs boson decay into photons at four loops

Davies,

Herren

2021

Preprint

Self Cite

View full text Add to dashboard Cite

Future precision measurements of Higgs boson decays will determine the branching fraction for the decay into two photons with a precision at the one percent level.To fully exploit such measurements, equally precise theoretical predictions need to be available. To this end we compute four-loop QCD corrections in the large top quark mass expansion to the Higgs boson-photon form factor, which enter the two-photon decay width at next-to-next-to-next-to-leading order. Furthermore we obtain corrections to the two-photon decay width stemming from the emission of additional gluons, which contribute for the first time at next-to-next-to-leading order. Finally, we combine our results with other available perturbative corrections and estimate the residual uncertainty due to missing higher-order contributions.

show abstract

Section: Calculation Of N 3 Lo Virtual Correctionsmentioning

confidence: 99%

Section: Calculation Of N 3 Lo Virtual Correctionsmentioning

confidence: 99%

See 1 more Smart Citation

Higgs boson decay into photons at four loops

Davies,

Herren

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…This is quite a challenging problem that has been first attacked with the help of the large-mass expansion in the top-quark mass [6,7]. A large-mass expansion has even been derived at four-loop order [8]. Further progress at three-loops has been recently achieved using Padé approximants [9] exploiting partial knowledge of the form factor's behaviour around threshold [10].…”

Section: Introductionmentioning

confidence: 99%

Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD

Czakon

Niggetiedt

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

We determine the three-loop form factor parameterising the amplitude for the production of an off-shell Higgs boson in gluon fusion in QCD with a single massive quark. The result is obtained via a numerical solution of a system of differential equation for the occurring master integrals. The solution is also used to determine the high-energy and threshold expansions of the form factor. Our findings may be used for the evaluation of virtual corrections generated by top-quark and b-quark loops in Higgs boson hadroproduction cross sections at next-to-next-to-leading order.

show abstract

“…In the following, we summarize some recent works which have used the LME method described above. This includes an NNLO computation of the double-real and real-virtual corrections to double-Higgs boson production in gluon fusion [16][17][18] in Section 3.1, and N3LO computations of the virtual corrections to single-Higgs boson production in gluon fusion [19] in Section 3.2, as well as the decay of a Higgs boson into two photons [20] in Section 3.3.…”

Section: Applicationsmentioning

confidence: 99%

Top quark mass corrections to single and double Higgs boson production in gluon fusion

Davies¹

2021

Preprint

Self Cite

View full text Add to dashboard Cite

In this talk we discuss recent computations of the top quark mass dependence of QCD amplitudes describing Higgs boson production in gluon fusion. We compute terms in the expansion for a large top quark mass, which reduces the Feynman diagrams to products of massless integrals and massive tadpole integrals which contain the top mass dependence. In particular we discuss the real and virtual corrections to double Higgs production at NNLO, and the virtual corrections to single Higgs production at N3LO.

show abstract

Top Quark Mass Effects in Higgs Boson Production at Four-Loop Order: Virtual Corrections

Abstract: We compute four-loop corrections to the Higgs boson gluon vertex, including finite top quark mass effects. Analytic results are presented which serve as a building block for the next-to-next-to-next-toleading order corrections to Higgs boson production at the Large Hadron Collider at CERN.

Cited by 13 publications

References 40 publications

Higgs boson decay into photons at four loops

Higgs boson decay into photons at four loops

Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD

Top quark mass corrections to single and double Higgs boson production in gluon fusion

Contact Info

Product

Resources

About