Resummed Drell-Yan cross-section at N3LL

101

We present the production cross section for a lepton-neutrino pair at the Large Hadron Collider computed at next-to-next-to-next-to-leading order (N3LO) in QCD perturbation theory. We compute the partonic coefficient functions of a virtual W± boson at this order. We then use these analytic functions to study the progression of the perturbative series in different observables. In particular, we investigate the impact of the newly obtained corrections on the inclusive production cross section of W± bosons, as well as on the ratios of the production cross sections for W+, W− and/or a virtual photon. Finally, we present N3LO predictions for the charge asymmetry at the LHC.

Section: Jhep11(2020)143mentioning

confidence: 94%

Charged current Drell-Yan production at N3LO

Duhr

Dulat

Mistlberger

2020

101

“…In the rest of the section, we show how these order one terms in Ψ c J can be summed to all orders in perturbation theory. The resummed results in Mellin space taking into account only SV terms are available in the literature for variety of processes, see [44,[51][52][53][54][55][56][57][58][59][60][61][62]. In the following, we derive the N space resummed result for the NSV logarithms.…”

Section: Resummation In N Spacementioning

confidence: 99%

“…The resolution to this problem was successfully achieved in seminal works by Sterman [49] and Catani and Trentedue [50] through reorganisation of the perturbative series. It goes under the name threshold resummation, see also [51][52][53][54][55][56] for Higgs production in gluon fusion, [57,58] for bottom quark annihilation, for DY [44,52,[59][60][61] and for DIS and SIA of e + e − [62]. In Mellin space, the conjugate variable to z is N and the convolutions become normal products.…”

Section: Introductionmentioning

confidence: 99%

“…The functions g I i (ω) depend on universal IR anomalous dimensions andg I 0 depend on the hard process. For DIS, invariant mass distribution of lepton pairs in DY, Higgs boson productions in various channels, results for the resummation of threshold logarithms in N space up to third order, namely next to next to next to leading logarithmic (N 3 LL) accuracy, are available [44,52,58,61].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On next to soft threshold corrections to DIS and SIA processes

Ajjath

Mukherjee

Ravindran

et al. 2021

Self Cite

We study the perturbative structure of threshold enhanced logarithms in the coefficient functions of deep inelastic scattering (DIS) and semi-inclusive e+e− annihilation (SIA) processes and setup a framework to sum them up to all orders in perturbation theory. Threshold logarithms show up as the distributions ((1−z)−1 logi(1−z))+ from the soft plus virtual (SV) and as logarithms logi(1−z) from next to SV (NSV) contributions. We use the Sudakov differential and the renormalisation group equations along with the factorisation properties of parton level cross sections to obtain the resummed result which predicts SV as well as next to SV contributions to all orders in strong coupling constant. In Mellin N space, we resum the large logarithms of the form logi(N) keeping 1/N corrections. In particular, the towers of logarithms, each of the form $$ {a}_s^n/{N}^{\alpha }{\log}^{2n-\alpha }(N),{a}_s^n/{N}^{\alpha }{\log}^{2n-1-\alpha }(N)\cdots $$ a s n / N α log 2 n − α N , a s n / N α log 2 n − 1 − α N ⋯ etc for α = 0, 1, are summed to all orders in as.

“…At the LHC energies where the parton fluxes are large, the threshold logarithms can give sizeable contribution and through resummation these lead to better perturbative convergence as well as theoretical uncertainties for various processes [20,22,24,[26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. Recently the effect of these large threshold logarithms has been studied in ADD and RS models [44,45] and better perturbative results have been predicted at N 3 LL(NNLL) accuracies.…”

Section: Jhep04(2021)111mentioning

confidence: 99%

Precision QCD phenomenology of exotic spin-2 search at the LHC

Das

Kumar

Samanta

2021

Self Cite

The complete next-to-next-to leading order (NNLO) QCD correction matched with next-to-next-to leading logarithm (NNLL) has been studied for Drell-Yan production via spin-2 particle at the Large hadron collider (LHC). We consider generic spin-2 particle which couples differently to quarks and gluons (non-universal scenario). The threshold enhanced analytical coefficient has been obtained up to third order using the universal soft function and the process dependent form factors at the same order. We performed a detailed phenomenological analysis and gave a prediction for the 13 TeV LHC for the search of such BSM signature. We found that the resummed result gives sizeable corrections over a wide range of invariant mass of the lepton pair. The scale variation also stabilizes at this order and reduces to 4%. As a by-product, we also provide ingredients for third-order soft-virtual (SV) prediction as well as resummation and study the impact on LHC searches.