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I discuss the factorization-compatible definitions of transverse-momentum-dependent (TMD) pion wave functions which are fundamental theory inputs entering QCD factorization formulae for many hard exclusive processes. I will first…

高能物理 - 唯象学 · 物理学 2016-04-20 Yu-Ming Wang

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

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 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

A direct generalization of the transverse momentum integrated(TMI) light-cone wave function to define a transverse momentum dependent(TMD) light-cone wave function will cause light-cone singularities and they spoil TMD factorization. We…

高能物理 - 唯象学 · 物理学 2009-11-10 J. P. Ma , Q. Wang

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

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

We calculate the unpolarized transverse momentum dependent fragmentation function (TMDFF) at next-to-next-to-leading order (NNLO), evaluating separately TMD soft factor and TMD collinear correlator. For the first time the cancellation of…

高能物理 - 唯象学 · 物理学 2016-10-26 Miguel G. Echevarria , Ignazio Scimemi , Alexey Vladimirov

Transverse-momentum dependent (TMD) hadronic wave functions develop light-cone divergences under QCD corrections, which are commonly regularized by the rapidity $\zeta$ of gauge vector defining the non-light-like Wilson lines. The yielding…

高能物理 - 唯象学 · 物理学 2015-06-22 Yue-Long Shen , Yu-Ming Wang

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

All (un)polarized transverse momentum dependent functions (TMDs), both distribution and fragmentation functions, are defined with the same universal soft function, which cancels spurious rapidity divergences within an individual TMD and…

高能物理 - 唯象学 · 物理学 2016-03-09 Miguel G. Echevarria , Ignazio Scimemi , Alexey Vladimirov

It is argued that the definition of the twist-3 transverse momentum dependent correlation functions must be modified if they contain light-like Wilson lines. In the framework of a simple spectator model of the nucleon we show explicitly the…

高能物理 - 唯象学 · 物理学 2008-11-26 L. P. Gamberg , D. S. Hwang , A. Metz , M. Schlegel

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

Transverse-momentum-dependent parton distribution functions are analyzed in semi-inclusive deep inelastic scattering at low transverse momentum using soft-collinear effective theory. The transverse-momentum-dependent parton distribution…

高能物理 - 唯象学 · 物理学 2007-11-29 Junegone Chay

We study Euclidean formulations of the transverse-momentum-dependent (TMD) soft function, which is a cross section for soft gluon radiations involving color charges moving in two conjugate lightcone directions in quantum chromodynamics. We…

高能物理 - 唯象学 · 物理学 2020-06-24 Xiangdong Ji , Yizhuang Liu , Yu-Sheng Liu

In large-momentum effective theory (LaMET), the transverse-momentum-dependent (TMD) light-front wave functions and soft functions can be extracted from the simulation of a four-quark form factor and equal-time correlation functions. In this…

高能物理 - 理论 · 物理学 2022-09-21 Zhi-Fu Deng , Wei Wang , Jun Zeng

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 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

We study transverse-momentum-dependent factorization at twist-3 for Drell-Yan processes. The factorization can be derived straightforwardly at leading order of $\alpha_s$. But at this order we find that light-cone singularities already…

高能物理 - 唯象学 · 物理学 2017-04-11 A. P. Chen , J. P. Ma

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
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