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Register a new userDi-lepton Rapidity Distribution in Drell-Yan Production to Third Order in QCD
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We compute for the first time the lepton-pair rapidity distribution in the photon-mediated Drell-Yan process to next-to-next-to-next-to-leading order (N$^3$LO) in QCD. The calculation is based on the qT-subtraction method, suitably extended to this order for quark-antiquark initiated Born processes. Our results display sizeable QCD corrections at N$^3$LO over the full rapidity region and provide a fully independent confirmation of the recent results for the total Drell-Yan cross section at this order.
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We present a comparison of data of lepton angular distributions of Drell-Yan/$Z$ production with the fixed-order pQCD calculations by which the baseline of pQCD effects is illustrated. As for the $Z$ production, we predict that $A_0$ and $A_2$ for $Z$ plus single gluon-jet events are very different from that of $Z$ plus single quark-jet events, allowing a new experimental tool for checking various algorithms which attempt to discriminate quark jets from gluon jets. Using an intuitive geometric approach, we show that the violation of the Lam-Tung relation, appearing at large transverse-momentum region, is attributed to the presence of a non-coplanarity effect. This interpretation is consistent with the appearance of violation beyond LO-QCD effect.
We present phenomenological results for the inclusive cross section for the production of a lepton-pair via virtual photon exchange at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD. In line with the case of Higgs production, we find that the hadronic cross section receives corrections at the percent level, and the residual dependence on the perturbative scales is reduced. However, unlike in the Higgs case, we observe that the uncertainty band derived from scale variation is no longer contained in the band of the previous order.
The relevance of single-W and single-Z production processes at hadron colliders is well known: in the present paper the status of theoretical calculations of Drell-Yan processes is summarized and some results on the combination of electroweak and QCD corrections to a sample of observables of the process $p p to W^pm to mu^pm + X$ at the LHC are discussed. The phenomenological analysis shows that a high-precision knowledge of QCD and a careful combination of electroweak and strong contributions is mandatory in view of the anticipated LHC experimental accuracy. One of the authors (O.N.) dedicates these notes to Prof. S. Jadach, in honour of his 60th birthday and grateful for all that Prof. Jadach taught him during their fruitful collaboration.
We present threshold enhanced QCD corrections to rapidity distributions of di-leptons in the Drell-Yan process and of Higgs particles in both gluon fusion and bottom quark annihilation processes using Sudakov resummed cross sections. We have used renormalisation group invariance and the mass factorisation theorem that these hard scattering cross sections satisfy as well as Sudakov resummation of QCD amplitudes. We find that these higher order threshold QCD corrections stabilise the theoretical predictions under scale variations.
We present fully differential predictions for the production cross section of a Higgs boson via the gluon fusion mechanism at next-to-next-to-next-to leading order (N$^3$LO) in QCD perturbation theory. To perform our calculation we apply the Projection-to-Born method for the first time to the calculation of the non-factorising production of a colorless final state at the LHC at N$^3$LO. We predict differential distributions for the two photon final state produced by the decay of the Higgs boson and apply fiducial cuts on the photon rapidities and momenta. The N$^3$LO corrections to these differential distributions have complex features and are in part larger than the inclusive N$^3$LO corrections to the production cross section. Overall, we observe that the inclusion of the N$^3$LO QCD corrections significantly reduces the perturbative uncertainties and leads to a stabilisation of the perturbative expansion.
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