Model independent evolution of transverse momentum dependent distribution functions (TMDs) at NNLL
By M. G. Echevarria, Ahmad Idilbi, Andreas Schäfer, I. Scimemi. 2012
154 citations recorded by the source corpus.
We discuss the evolution of the eight leading-twist transverse momentum dependent parton distribution functions, which turns out to be universal and spin independent. By using the highest order perturbatively calculable ingredients at our disposal, we perform the resummation of the large logarithms that appear in the evolution kernel of transverse momentum distributions up to next-to-next-to-leading logarithms (NNLL), thus obtaining an expression for the kernel with highly reduced model dependence. Our results can also be obtained using the standard CSS approach when a particular choice of the b∗ prescription is used. In this sense, and while restricted to the perturbative domain of applicability, we consider our results as a “prediction” of the correct value of bmax which is very close to 1.5 GeV−1. We explore under which kinematical conditions the effects of the non-perturbative region are negligible, and hence the evolution of transverse momentum distributions can be applied in a model independent way. The application of the kernel is illustrated by considering the unpolarized transverse momentum dependent parton distribution function and the Sivers function.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/3ec9ff23d56e77ce5ad36056177b499b8e8b4bec
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In Nuclear and High Energy Physics
Citations in the corpus
- Unpolarized transverse momentum dependent parton distribution and fragmentation functions at next-to-next-to-leading order (2016, background): “The rest of d(3,i) can be found also in [44].”
- Soft and collinear factorization and transverse momentum dependent parton distribution functions (2012, methodology): “ansform back to momentum space performing the Fourier transform. Since in this process one integrates over the whole range of b, there will appear large L⊥(µi) logarithms that need to be resummed. In [24] this issue is addressed, giving a new resummation technique and comparing it to the standard CS”