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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 (TMDs), which are defined by gauge-invariant 3D parton correlators with staple-shaped lightlike Wilson lines, can be calculated from quark and gluon correlators fixed in the Coulomb gauge on a…

高能物理 - 唯象学 · 物理学 2024-12-04 Yong Zhao

We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge parameter $\xi$ in the minimal subtraction scheme of…

高能物理 - 唯象学 · 物理学 2018-01-24 K. G. Chetyrkin , G. Falcioni , F. Herzog , J. A. M. Vermaseren

All the next-to-leading order results on Altarelli-Parisi splitting functions have been obtained in the literature either by using the operator product expansion method or by making use of the Curci Furmanski Petronzio (CFP) formalism in…

高能物理 - 唯象学 · 物理学 2009-10-30 Gudrun Heinrich , Zoltan Kunszt

Theoretical and numerical studies of the Wilson flow in lattice QCD suggest that the gauge field obtained at flow time t>0 is a smooth renormalized field. The expectation values of local gauge-invariant expressions in this field are thus…

高能物理 - 格点 · 物理学 2014-01-28 Martin Lüscher

Wilson lines are key objects in many QCD calculations. They are parallel transporters of the gauge field that can be used to render non-local operator products gauge invariant, which is especially useful for calculations concerning…

高能物理 - 唯象学 · 物理学 2015-09-25 Frederik F. Van der Veken

We determine the complete three-loop QCD soft anomalous dimension for multileg amplitudes involving a single massive coloured particle and any number of massless ones. This is achieved by applying a novel strategy based on a lightcone…

高能物理 - 唯象学 · 物理学 2025-11-03 Einan Gardi , Zehao Zhu

Transverse momentum dependent parton distribution functions (TMDPDFs) encode information about the intrinsic motion of quarks inside the nucleon. They are important non-perturbative ingredients in our understanding of, e.g., azimuthal…

高能物理 - 格点 · 物理学 2008-11-11 Bernhard U. Musch , Philipp Hägler , Andreas Schäfer , Dru B. Renner , John W. Negele , LHPC Collaboration

We discuss the possibility of non-minimal gauge invariance of transverse-momentum-dependent parton densities (TMDs) that allows direct access to the spin degrees of freedom of fermion fields entering the operator definition of (quark) TMDs.…

高能物理 - 唯象学 · 物理学 2011-12-13 I. O. Cherednikov , A. I. Karanikas , N. G. Stefanis

This is about new unexpected features of the Mandestam-Leibbrandt prescription found as applied to spacelike Wilson lines. The regularization parameter $ \omega $ in the M-L denominator for the spurious poles has to be kept throughout the…

高能物理 - 理论 · 物理学 2009-09-25 A. Andrasi

We present some recently obtained results on transverse-momentum dependent parton distribution functions (TMD PDFs), the latter being important ingredients for the description of semi-inclusive hadronic processes. Special attention is payed…

高能物理 - 唯象学 · 物理学 2008-11-27 I. O. Cherednikov , N. G. Stefanis

We study two-loop anomalous dimension matrices in QCD and related gauge theories for products of Wilson lines coupled at a point. We verify by an analysis in Euclidean space that the contributions to these matrices from diagrams that link…

高能物理 - 唯象学 · 物理学 2009-06-19 Alexander Mitov , George Sterman , Ilmo Sung

We propose a modified definition for a quasi-parton distribution function (QPDF) with an equal-time correlator in the large momentum limit, whose two pieces of space-like Wilson links are oriented in orthogonal directions. It is explicitly…

高能物理 - 唯象学 · 物理学 2016-11-02 Hsiang-nan Li

Recently a new picture has been developed for examining Wilson lines, and the corresponding anomalous dimensions which govern their renormalization properties. By making a particular coordinate transform, the calculation of the cusp…

高能物理 - 理论 · 物理学 2012-05-29 D. J. Miller , C. D. White

The one-loop quantum corrections of Chern-Simons spinor electrodynamics in the light-cone gauge has been investigated. We have calculated the vacuum polarization tensor, fermionic self-energy and on-shell vertex correction with a hybrid…

高能物理 - 理论 · 物理学 2013-05-30 Wenfeng Chen

Anomalous dimensions of twist-two operators govern the scale evolution of parton distribution functions. For off-shell external states, the physical twist-two operators mix with unknown gauge-variant operators under renormalization. In this…

高能物理 - 唯象学 · 物理学 2024-09-17 Thomas Gehrmann , Andreas von Manteuffel , Tong-Zhi Yang

Transverse-momentum-dependent parton distribution functions and wave functions (TMDPDFs/TMDWFs) can be extracted from lattice calculations of appropriate Euclidean matrix elements of staple-shaped Wilson line operators. We investigate the…

高能物理 - 唯象学 · 物理学 2021-11-25 Yao Ji , Jian-Hui Zhang , Shuai Zhao , Ruilin Zhu

QCD in non-integer d=4-2 epsilon space-time dimensions possesses a nontrivial critical point and enjoys exact scale and conformal invariance. This symmetry imposes nontrivial restrictions on the form of the renormalization group equations…

高能物理 - 唯象学 · 物理学 2015-06-19 V. M. Braun , A. N. Manashov

We emphasize that non-conformal theories provide a natural playground for the ideas of the Maldacena conjecture, opening the possibility of exploring properties that could potentially be in the same universality class as QCD. In particular,…

高能物理 - 理论 · 物理学 2008-11-26 Leopoldo A. Pando Zayas , Daniel J. Phalen , Cesar A. Terrero-Escalante

We present a completely gauge-invariant operator definition of transverse-momentum-dependent parton densities (TMD), supplied with longitudinal lightlike gauge links as well as transverse gauge links at lightcone infinity. Within this…

高能物理 - 唯象学 · 物理学 2011-11-30 I. O. Cherednikov , N. G. Stefanis