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

Bonciani, Roberto; Vita, S. Di; Mastrolia, Pierpaolo; Schubert, Ulrich S.

doi:10.1007/jhep09(2016)091

Cited by 75 publications

(109 citation statements)

References 153 publications

(200 reference statements)

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“…Mixed QCD-QED virtual correction to lepton-pair production have been presented in [87], while the full set of Master Integrals relevant for the evaluation of the complete set of QCD-EW virtual corrections has been presented in ref. [88]. The doublereal contribution to the total cross section for the on-shell single gauge boson production has been presented in ref.…”

Section: Mixed Qcd-ew Correctionsmentioning

confidence: 99%

Precision measurement of the W -boson mass: Theoretical contributions and uncertainties

et al. 2017

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Abstract:We perform a comprehensive analysis of electroweak, QED and mixed QCDelectroweak corrections underlying the precise measurement of the W -boson mass M W at hadron colliders. By applying a template fitting technique, we detail the impact on M W of next-to-leading order electroweak and QCD corrections, multiple photon emission, lepton pair radiation and factorizable QCD-electroweak contributions. As a by-product, we provide an up-to-date estimate of the main theoretical uncertainties of perturbative nature. Our results can serve as a guideline for the assessment of the theoretical systematics at the Tevatron and LHC and allow a more robust precision measurement of the W -boson mass at hadron colliders.

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Section: Mixed Qcd-ew Correctionsmentioning

confidence: 99%

Precision measurement of the W -boson mass: Theoretical contributions and uncertainties

et al. 2017

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“…is not yet available, although first steps in this direction have been taken by calculating two-loop contributions [77][78][79][80][81], the full O(αα s ) correction to the W/Z-decay widths [82,83], and the full O(α) EW corrections to W/Z+jet production including the W/Z decays [39,40,84].…”

Section: Towards Exact O(αα S ): Assessment Of the Accuracy Of Currenmentioning

confidence: 99%

Precision studies of observables in $$p p \rightarrow W \rightarrow l\nu _l$$ p p → W → l ν l and $$ pp \rightarrow \gamma ,Z \rightarrow l^+ l^-$$ p p → γ , Z → l + l - processes at the LHC

et al. 2017

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This report was prepared in the context of the LPCC Electroweak Precision Measurements at the LHC WG (https://lpcc.web.cern.ch/lpcc/index.php?page=electroweak_ wg) and summarizes the activity of a subgroup dedicated to the systematic comparison of public Monte Carlo codes, which describe the Drell-Yan processes at hadron colliders, in particular at the CERN Large Hadron Collider (LHC). This work represents an important step towards the definition of an accurate simulation framework necessary for very high-precision measurements of electroweak (EW) observables such as the W boson mass and the weak mixing angle. All the codes considered in this report share at least nexta e-mail: alessandro.vicini@mi.infn.it b e-mail: dow@ubpheno.physics.buffalo.edu to-leading-order (NLO) accuracy in the prediction of the total cross sections in an expansion either in the strong or in the EW coupling constant. The NLO fixed-order predictions have been scrutinized at the technical level, using exactly the same inputs, setup and perturbative accuracy, in order to quantify the level of agreement of different implementations of the same calculation. A dedicated comparison, again at the technical level, of three codes that reach next-to-nextto-leading-order (NNLO) accuracy in quantum chromodynamics (QCD) for the total cross section has also been performed. These fixed-order results are a well-defined reference that allows a classification of the impact of higher-order sets of radiative corrections. Several examples of higherorder effects due to the strong or the EW interaction are discussed in this common framework. Also the combination 123 280 Page 2 of 53 Eur. Phys. J. C (2017) 77 :280 of QCD and EW corrections is discussed, together with the ambiguities that affect the final result, due to the choice of a specific combination recipe. All the codes considered in this report have been run by the respective authors, and the results presented here constitute a benchmark that should be always checked/reproduced before any high-precision analysis is conducted based on these codes. In order to simplify these benchmarking procedures, the codes used in this report, together with the relevant input files and running instructions, can be found in a repository at https://twiki.cern.ch/twiki/ bin/view/Main/DrellYanComparison.

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“…systems with an associated matrix where the dependence on the space-time dimensions is decoupled from the kinematics [8,9], has led to a substantial improvement of the system-solving strategy [10][11][12][13][14][15][16][17][18][19], and to the availability of many novel results. In the case of Feynman integrals that depend on several scales, we have shown that the Magnus exponential [11] is an efficient tool to derive MIs obeying canonical systems starting from a basis of MIs that obey systems of DEs whose matrix has a linear dependence on the space-time dimension [20][21][22].…”

Section: Jhep04(2017)008mentioning

confidence: 99%

Two-loop master integrals for the leading QCD corrections to the Higgs coupling to a W pair and to the triple gauge couplings ZW W and γ∗ W W

Vita

Mastrolia

Primo

et al. 2017

J. High Energ. Phys.

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Abstract:We compute the two-loop master integrals required for the leading QCD corrections to the interaction vertex of a massive neutral boson X 0 , e.g. H, Z or γ * , with a pair of W bosons, mediated by a SU(2) L quark doublet composed of one massive and one massless flavor. All the external legs are allowed to have arbitrary invariant masses. The Magnus exponential is employed to identify a set of master integrals that, around d = 4 space-time dimensions, obey a canonical system of differential equations. The canonical master integrals are given as a Taylor series in = (4 − d)/2, up to order four, with coefficients written as combination of Goncharov polylogarithms, respectively up to weight four. In the context of the Standard Model, our results are relevant for the mixed EW-QCD corrections to the Higgs decay to a W pair, as well as to the production channels obtained by crossing, and to the triple gauge boson vertices ZW W and γ * W W .

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

Cited by 75 publications

References 153 publications

Precision measurement of the W -boson mass: Theoretical contributions and uncertainties

Precision measurement of the W -boson mass: Theoretical contributions and uncertainties

Precision studies of observables in $$p p \rightarrow W \rightarrow l\nu _l$$ p p → W → l ν l and $$ pp \rightarrow \gamma ,Z \rightarrow l^+ l^-$$ p p → γ , Z → l + l - processes at the LHC

Two-loop master integrals for the leading QCD corrections to the Higgs coupling to a W pair and to the triple gauge couplings ZW W and γ∗ W W

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