Transverse momentum dependent fragmentation function at next-to-next-to-leading order

Echevarria, Miguel G. and Scimemi, Ignazio and Vladimirov, Alexey (2016) Transverse momentum dependent fragmentation function at next-to-next-to-leading order. PHYSICAL REVIEW D, 93 (1): 011502. ISSN 1550-7998, 1550-2368

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Abstract

We calculate the unpolarized transverse momentum dependent fragmentation function at next-to-next-to-leading order, evaluating separately the transverse momentum dependent (TMD) soft factor and the TMD collinear correlator. For the first time, the cancellation of spurious rapidity divergences in a properly defined individual TMD beyond the first nontrivial order is shown. This represents a strong check of the given TMD definition. We extract the matching coefficient necessary to perform the transverse momentum resummation at next-to-next-to-next-to-leading-logarithmic accuracy. The universal character of the soft function, which enters the definition of all (un)polarized TMD distribution/fragmentation functions, facilitates the future calculation of all the other TMDs and their coefficients at next-to-next-to-leading order, pushing forward the accuracy of theoretical predictions for the current and next generation of high energy colliders.

Item Type: Article
Uncontrolled Keywords: PARTON DISTRIBUTION-FUNCTIONS; 3-LOOP SPLITTING FUNCTIONS; EXPONENTIATION; DISTRIBUTIONS; NNLO; QCD;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Mar 2019 08:15
Last Modified: 15 Mar 2019 08:15
URI: https://pred.uni-regensburg.de/id/eprint/2533

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