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We study the scale dependence of twist-3 distributions defined with chirality-odd quark-gluon operators. To derive the scale dependence we explicitly calculate these distributions of multi-parton states instead of a hadron. Taking one-loop…

高能物理 - 唯象学 · 物理学 2015-06-11 J. P. Ma , Q. Wang , G. P. Zhang

We compute the twist-2 matching of the transverse-momentum-dependent (TMD) linearly polarized gluon parton distribution and fragmentation functions at next-to-next-to-next-to-leading order (N$^3$LO) in QCD, supplemented by…

高能物理 - 唯象学 · 物理学 2026-04-07 Yu Jiao Zhu

We present a review of current Transverse Momentum Dependent (TMD) phenomenology focusing our attention on the unpolarized TMD parton distribution function and the Sivers function. The paper introduces and comments about the new…

高能物理 - 唯象学 · 物理学 2015-06-23 Stefano Melis

We study the transverse momentum dependent (TMD) parton distributions at small-x in a consistent framework that takes into account the TMD evolution and small-x evolution simultaneously. The small-x evolution effects are included by…

高能物理 - 唯象学 · 物理学 2017-06-28 Bo-Wen Xiao , Feng Yuan , Jian Zhou

We compute the Sivers, Boer-Mulders, worm-gear (T and L) transverse momentum dependent distributions in terms of twist-two and twist-three collinear distributions in the small-b limit up to next-to-leading order (NLO) in perturbation…

高能物理 - 唯象学 · 物理学 2025-01-15 Felix Rein , Simone Rodini , Andreas Schäfer , Alexey Vladimirov

In the first part of this talk, I will summarize recent developments in the study of the chiral-odd spin-dependent parton distributions h_1(x,Q^2) and h_L(x,Q^2) of the nucleon, in particular, (i) Next-to- leading order Q^2 evolution of…

高能物理 - 唯象学 · 物理学 2007-05-23 Yuji Koike

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…

高能物理 - 唯象学 · 物理学 2013-05-30 S. Mert Aybat , John C. Collins , Jian-Wei Qiu , Ted C. Rogers

We develop a framework for the reconstruction of the non-forward kernels which govern the evolution of twist-two distribution amplitudes and off-forward parton distributions beyond leading order. It is based on the knowledge of the special…

高能物理 - 唯象学 · 物理学 2009-10-31 A. V. Belitsky , D. Müller , A. Freund

Quarks and gluon, as quantum particles, are subjects to various effects that go beyond the naive parton picture and are not captured by ordinary parton densities. In this work, we investigate the twist-three parton distribution functions,…

高能物理 - 唯象学 · 物理学 2025-11-07 Alexey Vladimirov , Guillermo Portela , Simone Rodini

We report on the status of a direct computation of the time-like splitting functions at next-to-next-to-leading order in QCD. Time-like splitting functions govern the collinear kinematics of inclusive hadron production and the evolution of…

高能物理 - 唯象学 · 物理学 2015-10-28 Oleksandr Gituliar , Sven Moch

We present for first time the computation at large $q_T$ (or small $b_T$) matching coefficients of Transverse Momentum Dependent Parton Distribution Function (TMDPDF) for linearly polarised to the integrated gluon distribution at…

高能物理 - 唯象学 · 物理学 2019-08-19 Daniel Gutierrez-Reyes , Sergio Leal Gómez , Ignazio Scimemi , Alexey Vladimirov

We present a calculation of the perturbative quark-to-quark transverse parton distribution function at next-to-next-to-leading order based on a gauge invariant operator definition. We demonstrate for the first time that such a definition…

高能物理 - 唯象学 · 物理学 2013-05-30 Thomas Gehrmann , Thomas Lübbert , Li Lin Yang

We present preliminary results on the leading-twist transverse-momentum-dependent (TMD) gluon linearity function, which is directly connected to nucleon transverse-spin asymmetries originating from the density of linearly-polarized gluons.…

高能物理 - 唯象学 · 物理学 2022-03-11 Alessandro Bacchetta , Francesco Giovanni Celiberto , Marco Radici

We study the time-reversal odd quark fragmentation function and its consequences on the hard processes. T-odd quark fragmentation function may arise, although QCD is T-invariant, from the non-perturbative dynamics in the fragmentation…

高能物理 - 唯象学 · 物理学 2011-04-15 K. Suzuki

In this paper we calculate analytically the perturbative matching coefficients for unpolarized quark and gluon Transverse-Momentum-Dependent (TMD) Parton Distribution Functions (PDFs) and Fragmentation Functions (FFs) through…

高能物理 - 唯象学 · 物理学 2021-07-07 Ming-xing Luo , Tong-Zhi Yang , Hua Xing Zhu , Yu Jiao Zhu

We show transverse-momentum-dependent parton distribution functions (TMDs) for spin-1 hadrons including twist-3 and 4 functions by taking the decomposition of a quark correlation function in the Lorentz-invariant way with the conditions of…

高能物理 - 唯象学 · 物理学 2021-08-04 S. Kumano , Qin-Tao Song

Twist-3 collinear parton distribution functions (PDFs) are matrix elements of quark-gluon-quark or three-gluons light-cone operators. They depend on three momentum fraction variables, which are restricted to a hexagon region, and the…

高能物理 - 唯象学 · 物理学 2024-07-10 Simone Rodini , Lorenzo Rossi , Alexey Vladimirov

The renormalization-group properties of gauge-invariant transverse-momentum dependent (TMD) parton distribution functions (PDF) in QCD are addressed. We perform an analysis of their leading-order anomalous dimensions, which are local…

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

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 momentum dependent parton distribution functions, also abbreviated as TMDs, offer a three-dimensional picture of hadrons by taking the intrinsic transverse momentum of the parton into consideration. Hence, they are very important…

高能物理 - 唯象学 · 物理学 2021-12-03 Xiao Liu , Wenjuan Mao , Xiaoyu Wang , Bo-Qiang Ma