Unpolarized quark and gluon TMD PDFs and FFs at N3LO

We present state-of-the-art predictions for transverse observables relevant to colour-singlet production at the LHC, in particular the transverse momentum of the colour singlet in gluon-fusion Higgs production and in neutral Drell-Yan lepton-pair production, as well as the $$ {\phi}_{\eta}^{\ast } $$ ϕ η ∗ observable in Drell Yan. We perform a next-to-next-to-next-to-leading logarithmic (N3LL) resummation of such observables in momentum space according to the RadISH formalism, consistently including in our prediction all constant terms of relative order $$ {\alpha}_s^3 $$ α s 3 with respect to the Born, thereby achieving N3LL′ accuracy. The calculation is fully exclusive with respect to the Born kinematics, which allows the application of arbitrary fiducial selection cuts on the decay products of the colour singlet. We supplement our results with a transverse-recoil prescription, accounting for dominant classes of subleading-power corrections in a fiducial setup. The resummed predictions are matched with fixed-order differential spectra at next-to-next-to-leading order (NNLO) accuracy. A phenomenological comparison is carried out with 13 TeV LHC data relevant to the Higgs to di-photon channel, as well as to neutral Drell-Yan lepton-pair production. Overall, the inclusion of $$ \mathcal{O} $$ O ($$ {\alpha}_s^3 $$ α s 3 ) constant terms, and to a lesser extent of transverse-recoil effects, proves beneficial for the comparison of theoretical predictions to data, leaving a residual theoretical uncertainty in the resummation region at the 2–5% level for Drell-Yan observables, and 5–7% in Higgs production.

Section: Jhep09(2021)108mentioning

confidence: 85%

Section: Extraction Of Hard and Collinear Coefficient Functions Atmentioning

confidence: 99%

Fiducial Higgs and Drell-Yan distributions at N3LL′+NNLO with RadISH

Rottoli

Torrielli

2021

“…[91,92,[110][111][112] have accomplished N 3 LL very recently. Thanks to the developments in fixed-order perturbative calculations, the cusp anomalous dimension has achieved fourloop accuracy [113] and the fixed-order ingredients (including the non-singlet quark form factor [114], soft [102,115] and beam functions [116][117][118]) at N 3 LO are available now. The non-cusp anomalous dimensions can be extracted from the latter sectors.…”

Section: Jhep10(2021)088mentioning

confidence: 99%

The qT and ∆ϕ spectra in W and Z production at the LHC at N3LL′+N2LO

Schönherr

2021

The production of weak gauge bosons, W± and Z, are at the core of the LHC precision measurement program. Their transverse momentum spectra as well as their pairwise ratios are key theoretical inputs to many high-precision analyses, ranging from the W mass measurement to the determination of parton distribution functions. Owing to the different properties of the W and Z boson and the different accessible fiducial regions for their measurement, a simple one-dimensional correlation is insufficient to capture the differing vector and axial-vector dynamics of the produced lepton pair. We propose to correlate them in two observables, the transverse momentum qT of the lepton pair and its azimuthal separation ∆ϕ. Both quantities are purely transverse and therefore accessible in all three processes, either directly or by utilising the missing transverse momentum of the event. We calculate all the single-differential qT and ∆ϕ as well as the double-differential (qT, ∆ϕ) spectra for all three processes at N3LL′+N2LO accuracy, resumming small transverse momentum logarithms in the soft-collinear effective theory approach and including all singlet and non-singlet contributions. Using the double-differential cross sections we build the pairwise ratios $$ {\mathrm{\mathcal{R}}}_{W^{+}/Z} $$ ℛ W + / Z , $$ {\mathrm{\mathcal{R}}}_{W^{-}/Z} $$ ℛ W − / Z , and $$ {\mathrm{\mathcal{R}}}_{W^{+}/{W}^{-}} $$ ℛ W + / W − and determine their uncertainties assuming fully correlated, partially correlated, and uncorrelated uncertainties in the respective numerators and denominators. In the preferred partially correlated case we find uncertainties of less than 1% in most phase space regions and up to 3% in the lowest qT region.

“…Note: while this article was under completion, an independent calculation was made available on the arXiv in ref. [137] based on the method proposed in ref. [80].…”

Section: Discussionmentioning

confidence: 99%

“…The authors of ref. [137] provided an important cross check on intermediary results for genuine two loop contributions in the K gq channel that allowed us to track an error in a routine related to the analytic continuation of the partonic coefficient functions. The initial discrepancy was a non-logarithmically enhanced finite and rational term proportional to (C A − C F )ζ 2 ζ 3 in the K gq and K qg channel.…”

Section: Discussionmentioning

confidence: 99%

TMD fragmentation functions at N3LO

Ebert

Mistlberger

Vita

2021

We compute the unpolarized quark and gluon transverse-momentum dependent fragmentation functions (TMDFFs) at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD. The calculation is based on a relation between the TMDFF and the limit of the semi-inclusive deep inelastic scattering cross section where all final-state radiation becomes collinear to the detected hadron. The required cross section is obtained by analytically continuing our recent computation of the Drell-Yan and Higgs boson production cross section at N3LO expanded around the limit of all final-state radiation becoming collinear to one of the initial states. Our results agree with a recent independent calculation by Luo et al.