scholarly journals Electroweak corrections to the angular coefficients in finite-$$p_T$$ Z-boson production and dilepton decay

2020 ◽  
Vol 80 (10) ◽  
Author(s):  
Rikkert Frederix ◽  
Timea Vitos
Keyword(s):  
Transverse Momentum ◽  
Z Boson ◽  
Significant Contribution ◽  
Vector Boson ◽  
Relative Size ◽  
Boson Mass ◽  
Boson Production ◽  
Leading Order ◽  
Space Case ◽  
Electroweak Corrections

AbstractWe present next-to-leading order (NLO) electroweak corrections to the dominant five angular coefficients parametrizing the Drell–Yan process in the Z-boson mass peak range for finite-$$p_T$$ p T vector boson production. The results are presented differentially in the vector boson transverse momentum. The Lam–Tung violating difference $$A_0-A_2$$ A 0 - A 2 is examined alongside the coefficients. A single lepton transverse momentum cut is needed in the case of electroweak corrections to avoid a double singularity in the photon induced diagrams, and the dependence on the value of this cut is examined. We compare the electroweak corrections to the angular coefficients to the NLO QCD corrections, including the single lepton cut. The size of the single lepton cut is found to affect the two coefficients $$A_0$$ A 0 and $$A_2$$ A 2 to largest extent. The relative size of the electroweak corrections to the coefficients is moderate for all single lepton cut values, and by extrapolation to the inclusive results, is moderate also for the full dilepton phase space case. However, for the Lam–Tung violation, there is a significant contribution from the electroweak corrections for low $$p_T$$ p T of the lepton pair.

scholarly journals SIMULATION OF Z BOSON pT SPECTRUM AT TEVATRON BY LEADING-ORDER EVENT GENERATORS

2010 ◽  
Vol 25 (36) ◽  
pp. 3047-3059 ◽  
Author(s):  
SHIGERU ODAKA
Keyword(s):  
Transverse Momentum ◽  
Z Boson ◽  
Parton Shower ◽  
Event Generator ◽  
Boson Production ◽  
Proper Solution ◽  
Leading Order

We show that the transverse momentum (pT) spectrum of Z boson production measured at Fermilab Tevatron can be well reproduced by leading-order event generators if Z + 1 jet processes are included with a proper solution for the double-count problem and if the parton shower (PS) branch kinematics are defined appropriately. The choice of the PS evolution variable does not definitely determine the low-pT behavior. Our new event generator employing the limited leading-log (LLL) subtraction and a built-in leading-log PS reproduces the spectrum very well, not only in large pT regions but also at low pT down to pT = 0.

scholarly journals Drell-Yan angular lepton distributions at small x from TMD factorization.

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Ian Balitsky
Keyword(s):  
Transverse Momentum ◽  
Pair Production ◽  
Cross Section ◽  
Z Boson ◽  
Equation Of Motion ◽  
Leading Order ◽  
Small X ◽  
Mulders Function

Abstract The Drell-Yan process is studied in the framework of TMD factorization in the Sudakov region s » Q2 » $$ {q}_{\perp}^2 $$ q ⊥ 2 corresponding to recent LHC experiments with Q2 of order of mass of Z-boson and transverse momentum of DY pair ∼ few tens GeV. The DY hadronic tensors are expressed in terms of quark and quark-gluon TMDs with $$ \frac{1}{Q^2} $$ 1 Q 2 and $$ \frac{1}{N_c^2} $$ 1 N c 2 accuracy. It is demonstrated that in the leading order in Nc the higher-twist quark-quark-gluon TMDs reduce to leading-twist TMDs due to QCD equation of motion. The resulting hadronic tensors depend on two leading-twist TMDs: f1 responsible for total DY cross section, and Boer-Mulders function $$ {h}_1^{\perp } $$ h 1 ⊥ . The corresponding qualitative and semi-quantitative predictions seem to agree with LHC data on five angular coefficients A0− A4 of DY pair production. The remaining three coefficients A5− A7 are determined by quark-quark-gluon TMDs multiplied by extra $$ \frac{1}{N_c} $$ 1 N c so they appear to be relatively small in accordance with LHC results.

scholarly journals Power corrections in a transverse-momentum cut for vector-boson production at NNLO: the qg-initiated real-virtual contribution

2021 ◽  
Vol 81 (2) ◽  
Author(s):  
Carlo Oleari ◽  
Marco Rocco
Keyword(s):  
Transverse Momentum ◽  
Cross Section ◽  
Cross Sections ◽  
Vector Boson ◽  
Analytic Form ◽  
Leading Order ◽  
Coupling Constant ◽  
Subtraction Method ◽  
Power Corrections ◽  
Interference Contribution

AbstractWe consider the production of a vector boson (Z, $$W^\pm $$ W ± or $$\gamma ^*$$ γ ∗ ) at next-to-next-to-leading order in the strong coupling constant $$\alpha _\mathrm{S}$$ α S . We impose a transverse-momentum cutoff, $$q_{\mathrm{T}}^{\mathrm{cut}}$$ q T cut , on the vector boson produced in the qg-initiated channel. We then compute the power corrections in the cutoff, up to the second power, of the real-virtual interference contribution to the cumulative cross section at order $$\alpha _\mathrm{S}^2$$ α S 2 . Other terms with the same kinematics, originating from the subtraction method applied to the double-real contribution, have been also considered. The knowledge of such power corrections is a required ingredient in order to reduce the dependence on the transverse-momentum cutoff of the QCD cross sections at next-to-next-to-leading order, when the $$q_{\mathrm{T}}$$ q T -subtraction method is applied. In addition, the study of the dependence of the cross section on $$q_{\mathrm{T}}^{\mathrm{cut}}$$ q T cut allows as well for an understanding of its behaviour in the small transverse-momentum limit, giving hints on the structure at all orders in $$\alpha _\mathrm{S}$$ α S and on the identification of universal patterns. Our result are presented in an analytic form, using the process-independent procedure described in a previous paper for the calculation of the all-order power corrections in $$q_{\mathrm{T}}^{\mathrm{cut}}$$ q T cut .

scholarly journals On the impact of non-factorisable corrections in VBF single and double Higgs production

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Frédéric A. Dreyer ◽  
Alexander Karlberg ◽  
Lorenzo Tancredi
Keyword(s):  
Vector Boson ◽  
Relative Size ◽  
Eikonal Approximation ◽  
Higgs Production ◽  
Leading Order ◽  
Scale Uncertainty ◽  
Before And After ◽  
Depth Study ◽  
Uncertainty Band ◽  
The Impact

Abstract We study the non-factorisable QCD corrections, computed in the eikonal approximation, to Vector-Boson Fusion single and double Higgs production and show the combined factorisable and non-factorisable corrections for both processes at $$ \mathcal{O}\left({\alpha}_s^2\right) $$ O α s 2 . We investigate the validity of the eikonal approximation with and without selection cuts, and carry out an in-depth study of the relative size of the non-factorisable next-to-next-to-leading order corrections compared to the factorisable ones. In the case of single Higgs production, after selection cuts are applied, the non-factorisable corrections are found to be mostly contained within the factorisable scale uncertainty bands. When no cuts are applied, instead, the non-factorisable corrections are slightly outside the scale uncertainty band. Interestingly, for double Higgs production, we find that both before and after applying cuts, non-factorisable corrections are enhanced compared to the single Higgs case. We trace this enhancement to the existence of delicate cancellations between the various leading-order Feynman diagrams, which are partly spoiled by radiative corrections. All contributions studied here have been implemented in proVBFH v1.2.0 and proVBFHH v1.1.0.

MEASUREMENT OF THE ANGULAR DISTRIBUTION OF ELECTRONS FROM W→eν DECAYS OBSERVED IN $p\bar p$ COLLISIONS AT $\sqrt{s} =1.8\, {\rm TeV}$

2001 ◽  
Vol 16 (supp01a) ◽  
pp. 318-321
Author(s):  
◽  
GEORG STEINBRÜCK
Keyword(s):  
Angular Distribution ◽  
Transverse Momentum ◽  
Perturbative Qcd ◽  
W Boson ◽  
Mass Measurement ◽  
Polar Angle ◽  
Distribution Parameter ◽  
Boson Mass ◽  
Leading Order ◽  
Proton Antiproton

We present the first measurement of the electron angular distribution parameter α2 in W → e ν events in proton-antiproton collisions as a function of the W boson transverse momentum. Our analysis is based on data collected using the DØ detector during the 1994–1995 Fermilab Tevatron run. We compare our results with next-to-leading order perturbative QCD, which predicts an angular distribution of (1 ± α1 cos θ* + α2 cos 2 θ*), where θ* is the polar angle of the electron in the Collins-Soper frame and α1 and α2 are functions of [Formula: see text], the W boson transverse momentum. This measurement provides a test of next-to-leading order QCD corrections which are a non-negligible contrbution to the W boson mass measurement.

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