Fiducial distributions in Higgs and Drell-Yan production at N3LL+NNLO

Abstract

The perturbative description of certain differential distributions across a wide kinematic range requires the matching of fixed-order perturbation theory with resummation of large logarithmic corrections to all orders. We present precise matched predictions for transverse-momentum distributions in Higgs boson (H) and Drell-Yan pair (DY) production as well as for the closely related φ * η distribution at the LHC. The calculation is exclusive in the Born kinematics, and allows for arbitrary fiducial selection cuts on the decay products of the colour singlets, which is of primary relevance for experimental analyses. Our predictions feature very small residual scale uncertainties and display a good convergence of the perturbative series. A comparison of the predictions for DY observables to experimental data at 8 TeV shows a very good agreement within the quoted errors.

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.…”

“…For the linear polarization, this is formally at the NLO accuracy, since its LO contribution already starts at O(α s ). We note that with the two-loop linearly polarized contributions presented in this paper, the linearly polarized ingredients needed for N 3 LO calculation [19,57] for Higgs production using the q T subtraction formalism [58] are completed. The reason is that the pure three-loop linearly polarized component will not contribute to the cross section at O(α 3 s ), since the tree-level linear polarized contribution vanishes, and its interference with the unpolarized contribution vanishes.…”

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].…”