Abstract
We consider the transverse-momentum (qT) distribution of Z bosons produced in hadronic collisions. At small values of qT, we perform the analytic resummation of the logarithmically enhanced QED contributions up to next-to-leading logarithmic accuracy, including the mixed QCD-QED contributions at leading logarithmic accuracy. Resummed results are consistently matched with the next-to-leading fixed-order results (i.e. mathcal{O} (α2)) at small, intermediate and large values of qT. We combine the QED corrections with the known QCD results at next-to-next-to-leading order left(mathcal{O}left({alpha}_S^2right)right) and next-to-next-to-leading logarithmic accuracy. We show numerical results at LHC and Tevatron energies, studying the impact of the QED corrections and providing an estimate of the corresponding perturbative uncertainty. Our analytic results for the combined QED and QCD resummation, obtained through an extension of the qT resummation formalism in QCD, are valid for the production of generic neutral and colourless high-mass systems in hadronic collision.
Highlights
JHEP08(2018)165 to resum these large logarithmic corrections in QCD has been developed from the late seventies [35,36,37,38]–[49] starting from results settled for QED [50]
Right panel: upper panel shows the ratio of the resummation QED scale-dependent results with respect to the standard next-to-next-to-leading logarithmic (NNLL)+next-to-next-to-leading order (NNLO) QCD result at central value of the scales
In this paper we have extended the QCD transverse-momentum resummation formalism of refs. [46, 47] in order to deal with the simultaneous emission of QCD and QED initial state parton radiation
Summary
We extend the QCD transverse-momentum resummation formalism of refs. [46, 47] in order to consistently include the resummation of QED perturbative logarithmic corrections in the generic case of the production of high-mass systems composed by colourless and neutral particles in hadronic collision. The universal form factor exp {GN } includes (and resums to all orders) the large logarithmic terms αSnLm (1 ≤ m ≤ 2n) It can be systematically expanded in powers of αS as follows: GN (αS, L). The LL mixed QCD-QED corrections are included in the g′(1,1)(αSL, αL) function which depends on the coefficients A(q1) = CF , A′q(1), β0, β0′ , β0,1, β0′ ,1. We note that these logarithmic terms do not contribute to the O(ααS) fixed order corrections and their dominant contribution is of the order ααS2 L3. The explicit perturbative scale dependence of the formulae in eqs. (2.9), (2.10), (2.24) is the same as the corresponding one in QCD (see eqs. (22), (23), (46) of ref. [47])
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
