Electroweak corrections to dilepton + jet production at hadron colliders

105

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.

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

105

“…the highest values of p Z T , the tendency of the data to fall below the theory prediction may be an indication of the onset of electroweak corrections [28][29][30][31], which are negative in this region. Any remaining tension for medium values of p Z T could potentially be accounted for revisiting the parton distribution functions (especially the gluon distribution) in the kinematical region relevant to this measurement.…”

Section: Jhep07(2016)133mentioning

confidence: 90%

“…The electroweak corrections to this distribution are known to be small at moderate transverse momenta but become more sizeable in the high-p Z T tail where they can reach ∼ −15% for p Z T 600 GeV [28][29][30][31]. It can be therefore expected that the inclusion of electroweak corrections will further improve the prediction of the shape in the tail.…”

Section: Jhep07(2016)133mentioning

confidence: 98%

“…The NLO EW corrections to the Z-boson transverse momentum distribution [28][29][30][31] are typically negative and at the level of a few percent at small to moderate p Z T , but are enhanced by the well-known electroweak Sudakov logarithms when p Z T M Z . At small p Z T , the electroweak corrections approach the corrections to the total Z production cross section, such that they largely cancel when normalising the p Z T distribution to the total cross section.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The NNLO QCD corrections to Z boson production at large transverse momentum

Ridder

Gehrmann

Glover

et al. 2016

Abstract:The transverse momentum distribution of massive neutral vector bosons can be measured to high accuracy at hadron colliders. The transverse momentum is caused by a partonic recoil, and is determined by QCD dynamics. We compute the single and double-differential transverse momentum distributions for fully inclusive Z/γ * production including leptonic decay to next-to-next-to-leading order (NNLO) in perturbative QCD. We also compute the same distributions normalised to the cross sections for inclusive Z/γ * production, i.e. integrated over the transverse momentum of the lepton pair. We compare our predictions for the fiducial cross sections to the 8 TeV data set from the ATLAS and CMS collaborations, which both observed a tension between data and NLO theory predictions, using the experimental cuts and binning. We find that the inclusion of the NNLO QCD effects does not fully resolve the tension with the data for the unnormalised p Z T distribution. However, we observe that normalising the NNLO Z-boson transverse momentum distribution by the NNLO Drell-Yan cross section substantially improves the agreement between experimental data and theory, and opens the way for precision QCD studies of this observable.

“…[33]. For the production of a vector boson with one jet the complete EW corrections are available [34][35][36][37].…”

Section: Jhep01(2015)094mentioning

confidence: 99%

Electroweak corrections to lepton pair production in association with two hard jets at the LHC

Denner

Hofer

Scharf

et al. 2015

Abstract:We compute the next-to-leading order corrections of O α 2 s α 3 to the hadronic production of two oppositely charged leptons and two hard jets, pp → jjℓ − ℓ + , using Recola and Collier. We include electroweak and QCD corrections at the given order and all off-shell effects. We provide detailed predictions for the LHC operating at 13 TeV and obtain per-cent-level corrections for the total cross section. For differential distributions we find significant non-uniform distortions in high-energy tails at the level of several ten per cent due to electroweak Sudakov logarithms and deformations at the level of a few per cent for angular variables.