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We use Lorentz invariance and the QCD equations of motion to study the evolution of functions that appear at leading (zeroth) order in a 1/Q expansion in azimuthal asymmetries. This includes the evolution equation of the Collins…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. J. Mulders , A. A. Henneman , D. Boer

We point out the role of intrinsic transverse momentum of partons in the study of azimuthal asymmetries in deep-inelastic 1-particle inclusive leptoproduction. Leading asymmetries often appear in combination with spin asymmetries. This…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. J. Mulders

We study QCD evolution equations of the first transverse-momentum-moment of the naive-time-reversal-odd fragmentation functions - the Collins function and the polarizing fragmentation function. We find for the Collins function case that the…

High Energy Physics - Phenomenology · Physics 2011-02-23 Zhong-Bo Kang

By considering semi-inclusive deep-inelastic scattering and the (complementary) $q_T$-spectrum for Drell-Yan lepton pair production we derive the QCD evolution for all the leading-twist transverse momentum dependent distribution and…

High Energy Physics - Phenomenology · Physics 2014-07-10 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

We study the transverse momentum dependent (TMD) evolution of the Collins azimuthal asymmetries in $e^+e^-$ annihilations and semi-inclusive hadron production in deep inelastic scattering (SIDIS) processes. All the relevant coefficients are…

High Energy Physics - Phenomenology · Physics 2016-01-20 Zhong-Bo Kang , Alexei Prokudin , Peng Sun , Feng Yuan

In this talk, we summarize how QCD evolution can be exploited to improve the treatment of transverse momentum dependent (TMD) parton distribution and fragmentation functions. The methods allow existing non-perturbative fits to be turned…

High Energy Physics - Phenomenology · Physics 2011-10-28 S. Mert Aybat , Ted C. Rogers

We examine the QCD evolution of the helicity and transversity parton distribution functions when including also their dependence on transverse momentum. Using an appropriate definition of these polarized transverse momentum distributions…

High Energy Physics - Phenomenology · Physics 2015-06-15 Alessandro Bacchetta , Alexei Prokudin

We study the QCD evolution for the twist-three quark-gluon correlation functions associated with the transverse momentum odd quark distributions. Different from that for the leading twist quark distributions, these evolution equations…

High Energy Physics - Phenomenology · Physics 2009-07-09 Jian Zhou , Feng Yuan , Zuo-Tang Liang

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…

High Energy Physics - Phenomenology · Physics 2015-06-11 Miguel G. Echevarria , Ahmad Idilbi , Andreas Schäfer , Ignazio Scimemi

In this contribution TMD evolution of azimuthal asymmetries, in particular of the Sivers and double Collins asymmetries, is addressed. A comparison of the scale dependence is made between asymmetries described with TMD factorization at low…

High Energy Physics - Phenomenology · Physics 2015-06-16 Daniel Boer

We consider the definition of unpolarized transverse-momentum-dependent parton distribution functions while staying on-the-light-cone. By imposing a requirement of identical treatment of two collinear sectors, our approach, compatible with…

High Energy Physics - Phenomenology · Physics 2015-06-11 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

We extend the Collins-Soper-Sterman (CSS) formalism to apply it to the spin-dependence governed by the Sivers function. We use it to give a correct numerical QCD evolution of existing fixed-scale fits of the Sivers function. With the aid of…

High Energy Physics - Phenomenology · Physics 2013-05-30 S. Mert Aybat , John C. Collins , Jian-Wei Qiu , Ted C. Rogers

We derive new Lorentz Invariance and Equation of Motion Relations between twist-three Generalized Parton Distributions (GPDs) and moments in the parton transverse momentum, $k_T$, of twist-two Generalized Transverse Momentum-Dependent…

High Energy Physics - Phenomenology · Physics 2018-10-31 Abha Rajan , Michael Engelhardt , Simonetta Liuti

We reconsider the evolution equations for transverse momentum dependent distributions recently proposed by us and recast them in a form which allows the comparison with results recently appeared in the literature. We show under which…

High Energy Physics - Phenomenology · Physics 2018-05-09 Federico Alberto Ceccopieri , Luca Trentadue

The QCD evolution of the unpolarized Transverse Momentum Dependent (TMD) distribution functions and of the Sivers functions have been discussed in recent papers. Following such results we reconsider previous extractions of the Sivers…

High Energy Physics - Phenomenology · Physics 2013-05-30 M. Anselmino , M. Boglione , S. Melis

The procedure for calculation of the QCD evolution of transverse momentum dependent distributions within the covariant approach is suggested. The standard collinear QCD evolution together with the requirements of relativistic invariance and…

High Energy Physics - Phenomenology · Physics 2016-02-17 A. V. Efremov , O. V. Teryaev , P. Zavada

We reexamine the derivation of the leading order QCD evolution equations of twist-3 quark-gluon correlation functions, $T_{q,F}(x,x)$ and $T^{(\sigma)}_{q,F}(x,x)$, which are the first transverse-momentum-moment of the…

High Energy Physics - Phenomenology · Physics 2012-06-22 Zhong-Bo Kang , Jian-Wei Qiu

We present an in-depth analysis of transverse momentum dependent (TMD) distributions of twist-three. In particular, we focus on evolution equations, symmetry relations, parameterization, interpretation, small-b asymptotic behaviour and the…

High Energy Physics - Phenomenology · Physics 2025-01-15 Simone Rodini , Alexey Vladimirov

We derive the complete set of evolutions of chirality-odd twist-3 fragmentation functions at one-loop level. There are totally nine real twist-3 fragmentation functions, among which seven are independent. The renormalization-scale…

High Energy Physics - Phenomenology · Physics 2017-07-21 J. P. Ma , G. P. Zhang

We give an overview of the current status of perturbative QCD factorization theorems in processes that involve transverse momentum dependent (TMD) parton distribution functions (PDFs) and fragmentation functions (FF). We enumerate those…

High Energy Physics - Phenomenology · Physics 2011-07-21 S. M. Aybat , T. C. Rogers
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