The transverse momentum spectrum of weak gauge bosons at N$${}^3$$LL + NNLO

Abstract

We present accurate QCD predictions for the transverse momentum (p ⊥ ) spectrum of electroweak gauge bosons at the LHC for 13 TeV collisions, based on a consistent combination of a NNLO calculation at large p ⊥ and N 3 LL resummation in the small p ⊥ limit. The inclusion of higher order corrections leads to substantial changes in the shape of the differential distributions, and the residual perturbative uncertainties are reduced to the few percent level across the whole transverse momentum spectrum. We examine the ratio of p ⊥ distributions in charged-and neutral-current Drell-Yan production, and study different prescriptions for the estimate of perturbative uncertainties that rely on different degrees of correlation between these processes. We observe an excellent stability of the ratios with respect to the perturbative order, indicating a strong correlation between the corresponding QCD corrections.

Transverse parton distribution and fragmentation functions at NNLO: the gluon case

“…Analytical calculations, phenomenological applications, and experimental determinations of the TMD distributions play important role in understanding the structure of hadrons [1,2]. TMDPDFs and TMDFFs have important applications in collider processes, such as Drell-Yan [3][4][5][6][7][8][9][10][11] and Higgs production [12][13][14][15][16][17][18][19], top quark pair production [20][21][22][23], hadronic J/ψ production, semi-inclusive deep-inelastic scattering [24][25][26][27][28], hadron or jet production in electron-positron annihilation [29][30][31][32][33][34], and energy correlators in both e + e − and hadron colliders [29,35,36]. The TMDPDFs and TMDFFs are intrinsically non-perturbative objects.…”

Transverse parton distribution and fragmentation functions at NNLO: the quark case

“…However, in certain regions of phase space, the transverse momenta of the partons become relevant, and one needs the transverse momentum dependent PDFs (TMDPDFs) and FFs (TMDFFs) in the corresponding factorization formulas. This is case for the small transverse momentum (Q T ) region in the Drell-Yan process [3][4][5][6][7][8][9][10][11], and also for similar regions in, e.g., semi-inclusive deep-inelastic scattering (SIDIS) [12][13][14][15][16], electron-positron annihilation to hadrons and jets [17][18][19][20][21][22], Higgs boson production [23][24][25][26][27][28][29][30], top quark pair production [31][32][33][34], as well as Energy-Energy Correlator (EEC) in the back-to-back limit at both lepton and hadron colliders [35,36]. To improve the theoretical predictions for these observables, it is desirable to have precise knowledges about these basic objects.…”

“…These coefficients are known at the next-to-next-to-leading order (NNLO) for the TMDPDFs [37][38][39][40] and TMDFFs [40]. They have played an important role in a number of cutting-edge calculations, including precision predictions for the Drell-Yan process and Higgs boson production at small transverse momentum [10,29,30], and NNLO calculations for top quark pair production using the Q T subtraction method [41,42].…”

DYTurbo: fast predictions for Drell–Yan processes

“…Various calculations that combine the QCD resummation formalism of logarithmically enhanced contributions at small-q T [26][27][28][29] with fixed-order perturbative results at different levels of theoretical accuracy have been performed in Refs. [30][31][32][33][34][35][36][37][38]. Analogous resummed calculations have been performed by applying Soft Collinear Effective Theory methods [39][40][41][42][43] and transverse-momentum dependent factorisation [44][45][46][47][48][49][50][51][52].…”