Photon pair production in gluon fusion: top quark effects at NLO with threshold matching

Chen, Long; Heinrich, G.; Jahn, S.; Jones, Stephen; Kerner, M.; Schlenk, J.; Yokoya, Hiroshi

doi:10.1007/jhep04(2020)115

Cited by 11 publications

(13 citation statements)

References 72 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The differential equation is also a useful tool to represent the master integrals in terms of known sets of functions, which can then be used for their efficient numerical evaluation. There also exist numerical approaches based on Monte-Carlo integration [69][70][71][72][73][74], some of which have been used to supply two-loop integrals in amplitude computations [75][76][77][78][79][80]. However, because the efficiency and precision of Monte-Carlo techniques are often limiting, analytic results are still desirable.…”

Section: Jhep11(2020)117mentioning

confidence: 99%

Two-loop integrals for planar five-point one-mass processes

Abreu

Ita

Moriello

et al. 2020

J. High Energ. Phys.

243

View full text Add to dashboard Cite

We present the computation of a full set of planar five-point two-loop master integrals with one external mass. These integrals are an important ingredient for two-loop scattering amplitudes for two-jet-associated W-boson production at leading color in QCD. We provide a set of pure integrals together with differential equations in canonical form. We obtain analytic differential equations efficiently from numerical samples over finite fields, fitting an ansatz built from symbol letters. The symbol alphabet itself is constructed from cut differential equations and we find that it can be written in a remarkably compact form. We comment on the analytic properties of the integrals and confirm the extended Steinmann relations, which govern the double discontinuities of Feynman integrals, to all orders in ϵ. We solve the differential equations in terms of generalized power series on single-parameter contours in the space of Mandelstam invariants. This form of the solution trivializes the analytic continuation and the integrals can be evaluated in all kinematic regions with arbitrary numerical precision.

show abstract

Section: Jhep11(2020)117mentioning

confidence: 99%

Two-loop integrals for planar five-point one-mass processes

Abreu

Ita

Moriello

et al. 2020

J. High Energ. Phys.

243

View full text Add to dashboard Cite

show abstract

“…We observe that the use of the rank-1 shifted lattice rules greatly reduces the number of samples required to obtain the integrals to sufficient precision for the computation of our amplitude, as compared to straightforward Monte Carlo sampling. In line with our previous work on the processes pp → HH [68,69], pp → HJ [70] and gg → γγ [71], we extend the pySecDec program such that it can produce a code capable of evaluating the entire amplitude, rather than computing each integral separately. The advantage of this structure is that the number of sampling points used for each sector of each integral can be dynamically set according to its contribution to the total uncertainty on the amplitude.…”

Section: Evaluation Of the Two-loop Amplitudementioning

confidence: 99%

$ZH$ production in gluon fusion: two-loop amplitudes with full top quark mass dependence

Chen,

Heinrich,

Jones

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

We present results for the two-loop helicity amplitudes entering the NLO QCD corrections to the production of a Higgs boson in association with a Z-boson in gluon fusion. The two-loop integrals, involving massive top quarks, are calculated numerically. Results for the interference of the finite part of the two-loop amplitudes with the Born amplitude are shown as a function of the two kinematic invariants on which the amplitudes depend.

show abstract

“…Recently, mass effects due to the top-quark loops were studied in the gluon fusion channel at NLO accuracy in refs. [17,18].…”

Section: Introductionmentioning

confidence: 99%

Precise predictions for photon pair production matched to parton showers in GENEVA

Alioli

Broggio

Gavardi

et al. 2021

J. High Energ. Phys.

View full text Add to dashboard Cite

We present a new calculation for the production of isolated photon pairs at the LHC with $$ {\mathrm{NNLL}}_{{\mathcal{T}}_0}^{\prime } $$ NNLL T 0 ′ +NNLO accuracy. This is the first implementation within the Geneva Monte Carlo framework of a process with a nontrivial Born-level definition which suffers from QED singularities. Throughout the computation we use a smooth-cone isolation algorithm to remove such divergences. The higher-order resummation of the 0-jettiness resolution variable $$ {\mathcal{T}}_0 $$ T 0 is based on a factorisation formula derived within Soft-Collinear Effective Theory which predicts all of the singular, virtual and real NNLO corrections. Starting from this precise parton-level prediction and by employing the Geneva method, we provide fully showered and hadronised events using Pythia8, while retaining the NNLO QCD accuracy for observables which are inclusive over the additional radiation. We compare our final predictions to LHC data at 7 TeV and find good agreement.

show abstract

Photon pair production in gluon fusion: top quark effects at NLO with threshold matching

Cited by 11 publications

References 72 publications

Two-loop integrals for planar five-point one-mass processes

Two-loop integrals for planar five-point one-mass processes

$ZH$ production in gluon fusion: two-loop amplitudes with full top quark mass dependence

Precise predictions for photon pair production matched to parton showers in GENEVA

Contact Info

Product

Resources

About