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We propose a new definition of a transverse-momentum-dependent (TMD) wave function with simpler soft subtraction for $k_T$ factorization of hard exclusive processes. The un-subtracted wave function involves two pieces of non-light-like…

高能物理 - 唯象学 · 物理学 2015-06-03 Hsiang-nan Li , Yu-Ming Wang

We discuss the state-of-the-art of the theory of transverse-momentum dependent parton densities (TMD)s, paying special attention to their renormalization properties, the structure of the gauge links in the operator definition, and the role…

高能物理 - 唯象学 · 物理学 2017-08-23 I. O. Cherednikov , N. G. Stefanis

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

We discuss different operator definitions of the transverse-momentum dependent (TMD) parton densities from the point of view of their renormalization-group (RG) properties and UV evolution. We also consider the structure of the gauge links…

高能物理 - 唯象学 · 物理学 2011-04-04 I. O. Cherednikov , N. G. Stefanis

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

Transverse-momentum dependent (TMD) light-cone wave functions of a light meson are important ingredients in the TMD QCD factorization of exclusive processes. This factorization allows one conveniently resum Sudakov logarithms appearing in…

高能物理 - 唯象学 · 物理学 2008-11-26 J. P. Ma , Q. Wang

We show that the geometry of the Wilson lines, entering the operator definition of the transverse-momentum dependent parton distributions and that of the soft factor, follows from the kinematics of the underlying physical process in…

高能物理 - 唯象学 · 物理学 2014-04-08 A. A. Vladimirov , N. G. Stefanis

With a consistent definition of transverse-momentum dependent (TMD) light-cone wave function, we show that the amplitude for the process $\gamma^* \pi^0 \to\gamma$ can be factorized when the virtuality of the initial photon is large. In…

高能物理 - 唯象学 · 物理学 2008-11-26 J. P. Ma , Q. Wang

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

Different approaches to the problem of a gauge-invariant operator definition of transverse-momentum dependent parton densities (TMDs) are reviewed and compared from the point of view of their compatibility with the operator definition of…

高能物理 - 唯象学 · 物理学 2011-12-06 Igor O. Cherednikov

A generalized idea of gauge invariance, that embodies into the Wilson lines the spin-dependent Pauli term $\sim F^{\mu\nu}[\gamma_\mu, \gamma_\nu]$, is applied to set up a new framework for the operator definition of…

高能物理 - 唯象学 · 物理学 2011-08-24 I. O. Cherednikov , A. I. Karanikas , N. G. Stefanis

With a consistent definition of transverse-momentum-dependent(TMD) light-cone wave function of $B$-meson, we show that the amplitude of the radiative leptonic B-decay can be factorized at one-loop level as a convolution with the wave…

高能物理 - 唯象学 · 物理学 2009-11-11 J. P. Ma , Q. Wang

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

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

Proof of transverse-momentum-dependent(TMD) factorization for hadron-hadron collision is given in this paper. We focus on processes without detected soft final hadrons or detected final hadrons that are collinear to initial hadrons. This…

高能物理 - 唯象学 · 物理学 2016-11-25 Gao-Liang Zhou

We summarize the renormalization-group properties of transverse-momentum dependent (TMD) parton distribution functions (PDF)s arguing that in the light-cone gauge the overlapping ultraviolet and rapidity divergences cannot be solely…

高能物理 - 唯象学 · 物理学 2011-02-03 N. G. Stefanis , I. O. Cherednikov , A. I. Karanikas

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

Central to understanding the nonpertubative, intrinsic partonic nature of hadron structure are the concepts of transverse momentum dependent (TMD) parton distribution and fragmentation functions. A TMD factorization approach to the…

高能物理 - 唯象学 · 物理学 2022-08-17 J. O. Gonzalez-Hernandez , T. C. Rogers , N. Sato

We derive the transverse momentum dependent (TMD) factorization for heavy quark pair production in deep inelastic scattering, where the total transverse momentum is much smaller than the invariant mass of the pair. The factorization is…

高能物理 - 唯象学 · 物理学 2015-06-17 Ruilin Zhu , Peng Sun , Feng Yuan

We present a first lattice QCD calculation of the transverse-momentum-dependent wave functions (TMDWFs) of the pion using large-momentum effective theory. Numerical simulations are based on one ensemble with 2+1+1 flavors of highly improved…

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