Publication: Power corrections and renormalons in Transverse Momentum Distributions
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We study the power corrections to Transverse Momentum Distributions (TMDs) by analyzing renormalon divergences of the perturbative series. The renormalon divergences arise independently in two constituents of TMDs: the rapidity evolution kernel and the small-b matching coefficient. The renormalon contributions (and consequently power corrections and non-perturbative corrections to the related cross sections) have a non-trivial dependence on the Bjorken variable and the transverse distance. We discuss the consistency requirements for power corrections for TMDs and suggest inputs for the TMD phenomenology in accordance with this study. Both unpolarized quark TMD parton distribution function and fragmentation function are considered.
© The Authors. We thank Vladimir Braun for numerous discussions and useful comments. We thank the Erwin Schrödinger International Institute for Mathematics and Physics (ESI, Vienna) for kind hospitality during the summer 2016 and for propitiating nice discussions on this work. I.S. is supported by the Spanish MECD grant FPA2014-53375-C2-2-P and FPA2016-75654- C2-2-P.