Abstract
We present a comprehensive analysis and extraction of the unpolarized transverse momentum dependent (TMD) parton distribution functions, which are fundamental constituents of the TMD factorization theorem. We provide a general review of the theory of TMD distributions, and present a new scheme of scale fixation. This scheme, called the zeta -prescription, allows to minimize the impact of perturbative logarithms in a large range of scales and does not generate undesired power corrections. Within zeta -prescription we consistently include the perturbatively calculable parts up to next-to-next-to-leading order (NNLO), and perform the global fit of the Drell–Yan and Z-boson production, which include the data of E288, Tevatron and LHC experiments. The non-perturbative part of the TMDs are explored checking a variety of models. We support the obtained results by a study of theoretical uncertainties, perturbative convergence, and a dedicated study of the range of applicability of the TMD factorization theorem. The considered non-perturbative models present significant differences in the fitting behavior, which allow us to clearly disfavor most of them. The numerical evaluations are provided by the arTeMiDe code, which is introduced in this work and that can be used for current/future TMD phenomenology.
Highlights
Among many different spindependent transverse momentum dependent (TMD) distributions, the unpolarized TMD parton distribution functions (TMDPDFs) play a central role
The main difference of the present work with respect to the more standard ones are as follows: (i) We extract the parameters related to individual TMDPDFs, which are suitable for phenomenological description of other TMD-related processes. (ii) We consistently include the perturbative ingredients, such as coefficient functions and anomalous dimensions, at the next-to-next-to-leading order (NNLO), introducing and using the ζ -prescription to solve the problem of perturbative convergence at large-b. (iii) The TMDPDF parameterization is based on and is consistent with the theory expectation on the TMD behavior with b
We have found that the values of obtained normalization are practically independent of the nonperturbative input of the TMD model, and at NNLL/NNLO correctly reproduce the measured total cross-section. – All data sets from LHC are presented within fiducial cross-sections
Summary
Among many different spin (in)dependent TMD distributions, the unpolarized TMD parton distribution functions (TMDPDFs) play a central role. The main difference of the present work with respect to the more standard ones (here we consider as the most spread out, and de facto standard, analyses those based on the codes ResBos [15,23] and DYqT/DYRes [17,18,21]) are as follows: (i) We extract the parameters related to individual TMDPDFs, which are suitable for phenomenological description of other TMD-related processes. (iii) The TMDPDF parameterization is based on and is consistent with the theory expectation on the TMD behavior with b To our knowledge this is the first attempt to include in a fit both high and low energy data at NNLO precision. All this represents for us a clear improvement with respect to the more classical analyses
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.
