Drell-Yan production at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>NNLL</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mi>NNLO</mml:mi></mml:mrow></mml:math>matched to parton showers

We present the calculation of the master integrals needed for the two-loop QCD×EW corrections to q +q → l − + l + and q +q → l − + ν , for massless external particles. We treat the W and Z bosons as degenerate in mass. We identify three types of diagrams, according to the presence of massive internal lines: the no-mass type, the onemass type, and the two-mass type, where all massive propagators, when occurring, contain the same mass value. We find a basis of 49 master integrals and evaluate them with the method of the differential equations. The Magnus exponential is employed to choose a set of master integrals that obeys a canonical system of differential equations. Boundary conditions are found either by matching the solutions onto simpler integrals in special kinematic configurations, or by requiring the regularity of the solution at pseudothresholds. The canonical master integrals are finally given as Taylor series around d = 4 spacetime dimensions, up to order four, with coefficients given in terms of iterated integrals, respectively up to weight four.

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“…Very recently, the merging of NNLO corrections with QCD parton shower was also considered [75][76][77].…”

Section: Jhep09(2016)091mentioning

confidence: 99%

Two-loop master integrals for the mixed EW-QCD virtual corrections to Drell-Yan scattering

Bonciani

Vita

Mastrolia

et al. 2016

J. High Energ. Phys.

105

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“…Candidate approaches to tackle such questions in complex, multi-scale collider processes generally include theoretical constructs designed to extend the concept of collinear parton density and decay functions, as in the case of Soft Collinear Effective Theory (SCET) [20][21][22][23] or of transverse momentum dependent (TMD) formalisms [24][25][26]. For instance, in ref.…”

Section: Introductionmentioning

confidence: 99%

Collinear and TMD quark and gluon densities from parton branching solution of QCD evolution equations

Hautmann

Jung

Žlebčík

et al. 2018

J. High Energ. Phys.

112

115

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We study parton-branching solutions of QCD evolution equations and present a method to construct both collinear and transverse momentum dependent (TMD) parton densities from this approach. We work with next-to-leading-order (NLO) accuracy in the strong coupling. Using the unitarity picture in terms of resolvable and non-resolvable branchings, we analyze the role of the soft-gluon resolution scale in the evolution equations. For longitudinal momentum distributions, we find agreement of our numerical calculations with existing evolution programs at the level of better than 1% over a range of five orders of magnitude both in evolution scale and in longitudinal momentum fraction. We make predictions for the evolution of transverse momentum distributions. We perform fits to the high-precision deep inelastic scattering (DIS) structure function measurements, and we present a set of NLO TMD distributions based on the parton branching approach.

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“…Recently, NNLO+PS matched results were computed with the UN 2 LOPS technique [12] as well as with an extended version of MiNLO [13][14][15] combined with the HNNLO program [5,16]. The current methods of performing NNLO+PS [11,14,15,[17][18][19][20][21] represent clear progress in the matching of fixed-order NNLO QCD calculations with parton-shower Monte Carlos (PSMCs). The next challenge towards even higher-precision perturbative QCD calculations, needed until the end of the LHC era two decades from now, is the combination of the fully exclusive NNLO corrections for the hard process with NLO parton shower (NNLO+NLOPS).…”

Section: Introductionmentioning

confidence: 99%

Monte Carlo simulations of Higgs-boson production at the LHC with the KrkNLO method

et al. 2017

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We present numerical tests and predictions of the KrkNLO method for matching of NLO QCD corrections to hard processes with LO parton-shower Monte Carlo generators (NLO+PS). This method was described in detail in our previous publications, where it was also compared with other NLO+PS matching approaches (MC@NLO and POWHEG) as well as fixed-order NLO and NNLO calculations. Here we concentrate on presenting some numerical results (cross sections and distributions) for Z /γ * (DrellYan) and Higgs-boson production processes at the LHC. The Drell-Yan process is used mainly to validate the KrkNLO implementation in the Herwig 7 program with respect to the previous implementation in Sherpa. We also show predictions for this process with the new, complete, MC-scheme parton distribution functions and compare them with our previously published results. Then we present the first results of the KrkNLO method for Higgs production in gluon-gluon fusion at the LHC and compare them with MC@NLO and POWHEG predictions from Herwig 7, fixed-order results from HNNLO and a resummed calculation from HqT, as well as with experimental data from the ATLAS collaboration.

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Drell-Yan production atNNLL′+NNLOmatched to parton showers

Cited by 139 publications

References 109 publications

Two-loop master integrals for the mixed EW-QCD virtual corrections to Drell-Yan scattering

Two-loop master integrals for the mixed EW-QCD virtual corrections to Drell-Yan scattering

Collinear and TMD quark and gluon densities from parton branching solution of QCD evolution equations

Monte Carlo simulations of Higgs-boson production at the LHC with the KrkNLO method

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