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We derive relations between transverse momentum dependent distribution functions (TMDs) and the usual parton distribution functions (PDFs) in the 3D covariant parton model, which follow from Lorentz invariance and the assumption of a…

高能物理 - 唯象学 · 物理学 2011-05-10 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

Transverse-momentum-dependent parton distribution functions (TMDs) were investigated at the twists 3 and 4 for spin-1 hadrons in addition to the twist-2 ones. They were found by studying all the possible decomposition of a quark correlation…

高能物理 - 唯象学 · 物理学 2023-01-18 S. Kumano , Qin-Tao Song

Transverse parton momentum dependent distribution functions (TMDs) of the nucleon are studied in a covariant model, which describes the intrinsic motion of partons in terms of a covariant momentum distribution. The consistency of the…

高能物理 - 唯象学 · 物理学 2009-09-02 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

The relations between TMDs and PDFs are obtained from the symmetry requirement: relativistic covariance combined with rotationally symmetric parton motion in the nucleon rest frame. This requirement is applied in the covariant parton model.…

高能物理 - 唯象学 · 物理学 2010-01-28 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

Transverse Momentum Dependent (TMD) parton distribution functions (PDFs) also take into account the transverse momentum ($p_T$) of the partons. The $p_T$-integrated analogues can be linked directly to quark and gluon matrix elements using…

高能物理 - 唯象学 · 物理学 2014-04-02 P. J. Mulders , M. G. A. Buffing

The transverse momentum dependent distributions (TMD) are an essential part of the factorization theorems in vector boson production. They are non-perturbative, double scale dependent functions that asymptotically match onto collinear…

高能物理 - 唯象学 · 物理学 2022-05-13 Ignazio Scimemi

The focus of this talk is on the transverse components of parton momenta. Like for collinear parton distribution functions (PDFs), we are also in the case of transverse momentum dependent (TMD) PDFs, talking about forward matrix elements.…

高能物理 - 唯象学 · 物理学 2015-11-18 P. J. Mulders

A range of issues pertaining to the use of Wilson lines in integrated and transverse-momentum dependent (TMD) parton distribution functions (PDF) is discussed. The relation between gauge invariance and the renormalization properties of the…

高能物理 - 唯象学 · 物理学 2008-11-26 I. O. Cherednikov , N. G. Stefanis

We consider the problems of gauge invariance, path-dependence and treatment of overlapping UV/rapidity divergences peculiar to the transverse-momentum dependent parton distribution functions (TMDs). For different formulations of the TMDs…

高能物理 - 唯象学 · 物理学 2012-06-27 I. O. Cherednikov

Using recent and updated world data on polarized structure functions $g_1$ and $g_2$ we perform QCD analysis at the next-next-to-leading-order (NNLO) accuracy. We include also target mass correction and higher twist effect to get more…

高能物理 - 唯象学 · 物理学 2022-04-26 Abolfazl Mirjalili , Shahin Atashbar Tehrani

In this work, we have calculated the photon leading-twist T-even transverse momentum dependent parton distribution functions (TMDs). For these calculations, we have treated photon as a state of quark anti-quark pair and represent the TMDs…

高能物理 - 唯象学 · 物理学 2024-08-16 Satyajit Puhan , Narinder Kumar , Harleen Dahiya

We provide a concise overview on transverse momentum dependent (TMD) parton distribution functions, their application to topical issues in high-energy physics phenomenology, and their theoretical connections with QCD resummation, evolution…

The UV divergences associated with transverse-momentum dependent (TMD) parton distribution functions (PDF) are calculated together with the ensuing one-loop anomalous dimensions in the light-cone gauge. Time-reversal-odd effects in the…

高能物理 - 唯象学 · 物理学 2009-11-13 I. O. Cherednikov , N. G. Stefanis

We revisit the calculation of the evolution equations for four unpolarized twist-3 transverse momentum dependent (TMD) parton distribution functions (PDFs) at $\mathcal {O}(\alpha_s)$. Unlike the existing calculations in the literature,…

高能物理 - 唯象学 · 物理学 2025-07-01 Xue-Tao Liu , Ping-An Liu , Yu-Lu Liu , An-Ping Chen

Transverse momentum dependent (TMD) distributions match collinear parton density functions (PDF) in the limit of small transverse distances, which is accounted for by global extractions of TMD distributions. We study the influence of the…

高能物理 - 唯象学 · 物理学 2022-11-09 Marcin Bury , Francesco Hautmann , Sergio Leal-Gomez , Ignazio Scimemi , Alexey Vladimirov , Pia Zurita

We develop a theoretical framework to match transverse momentum dependent parton distribution functions (TMD PDFs) onto chiral effective theory operators. In this framework the TMD PDF is expressed as a convolution of TMD hadronic…

高能物理 - 唯象学 · 物理学 2024-05-27 Marston Copeland , Thomas Mehen

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…

高能物理 - 唯象学 · 物理学 2015-06-15 Alessandro Bacchetta , Alexei Prokudin

We calculate the matching of the transversity and pretzelosity transverse momentum dependent distributions (TMD) on transversity collinear distribution at the next-to-next-to-leading order (NNLO). We find that the matching coefficient for…

高能物理 - 唯象学 · 物理学 2018-08-15 Daniel Gutierrez-Reyes , Ignazio Scimemi , Alexey Vladimirov

We provide an analysis of the x-dependence of the bare unpolarized, helicity and transversity iso-vector parton distribution functions (PDFs) from lattice calculations employing (maximally) twisted mass fermions. The x-dependence of the…

We present the first simultaneous global QCD analysis of unpolarized transverse momentum dependent (TMD) and collinear parton distribution functions (PDFs) in the proton. Our study incorporates data from deep-inelastic scattering,…

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