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We apply the Distillation spatial smearing program to the extraction of the unpolarized isovector valence PDF of the nucleon. The improved volume sampling and control of excited-states afforded by distillation leads to a dramatically…

The transverse component of the axial-vector correlation function of quark fields is a natural starting object for lattice calculations of twist-3 nucleon parton distribution functions. In this work we derive the corresponding factorization…

高能物理 - 唯象学 · 物理学 2021-08-09 Vladimir M. Braun , Yao Ji , Alexey Vladimirov

The QCD-coupling is a necessary input in the computation of many observables, and the parametric error on input parameters can be a dominant source of uncertainty. The coupling can be extracted by comparing high order perturbative…

高能物理 - 格点 · 物理学 2022-03-16 Leonardo Chimirri , Rainer Sommer

The shape and tails of partial distribution functions (PDF) for a financial signal, i.e. the S&P500 and the turbulent nature of the markets are linked through a model encompassing Tsallis nonextensive statistics and leading to evolution…

凝聚态物理 · 物理学 2009-11-10 Marcel Ausloos , Kristinka Ivanova

In lattice-QCD calculations of parton distribution functions (PDFs) via large-momentum effective theory, the leading power (twist-three) correction appears as ${\cal O}(\Lambda_{\rm QCD}/P^z)$ due to the linear-divergent self-energy of…

高能物理 - 格点 · 物理学 2023-08-09 Rui Zhang , Jack Holligan , Xiangdong Ji , Yushan Su

I derive an all-order resummation formula for the logarithmically enhanced contributions proportional to $\frac{\alpha_s^n}{x \pm \xi} \log (\frac{\xi \pm x}{2\xi})^k$ in the quark coefficient function of deeply-virtual-Compton scattering…

高能物理 - 唯象学 · 物理学 2023-03-22 Jakob Schoenleber

Perturbative expansions for short-distance quantities in QCD are factorially divergent and this deficiency can be turned into a useful tool to investigate nonperturbative corrections. In this work, we use this approach to study the…

高能物理 - 唯象学 · 物理学 2020-10-13 V. Braun , A. Vladimirov , J. -H. Zhang

The one loop matching kernels between parton distribution functions (PDFs) for parton $i=u,d,s,g$ and their corresponding quasi-PDFs are computed at one loop in the hybrid-ratio scheme. We found that, in addition to the conservation of the…

高能物理 - 格点 · 物理学 2025-05-20 Yi-Xian Chen , Jiunn-Wei Chen

We propose an analysis method for the leading-twist operator product expansion based lattice QCD determinations of the valence parton distribution function (PDF). In the first step, we determine the confidence-intervals of the leading-twist…

高能物理 - 格点 · 物理学 2021-10-08 Nikhil Karthik , Raza Sabbir Sufian

A recent study by Wang {\it et al.}(arXiv:2309.01417) proposed a novel connection between the nature of the parton distribution function (PDF) and the characteristics of its moments. In this study, we apply these findings to analyze the…

高能物理 - 唯象学 · 物理学 2024-07-16 Xiaobin Wang , Zexin Wu , Minghui Ding , Lei Chang

We present the first attempt to access the $x$-dependence of the gluon unpolarized parton distribution function (PDF), based on lattice simulations using the large-momentum effective theory (LaMET) approach. The lattice calculation is…

高能物理 - 格点 · 物理学 2018-12-19 Zhou-You Fan , Yi-Bo Yang , Adam Anthony , Huey-Wen Lin , Keh-Fei Liu

We analyze the lattice spacing dependence for the pion unpolarized matrix element of a quark bilinear operator with Wilson link (quasi-PDF operator) in the rest frame, using 13 lattice spacings ranging from 0.032 fm to 0.121 fm. We compare…

高能物理 - 格点 · 物理学 2021-10-13 Kuan Zhang , Yuan-Yuan Li , Yi-Kai Huo , Andreas Schäfer , Peng Sun , Yi-Bo Yang

Power-law probability density function (PDF) plays a key role in both subdiffusion and L\'{e}vy flights. However, sometimes because of the finite of the lifespan of the particles or the boundedness of the physical space, tempered power-law…

数值分析 · 数学 2016-11-08 Yanyan Yu , Weihua Deng , Yujiang Wu , Jing Wu

Using the approach proposed a few years ago by X. Ji, it has become feasible to extract parton distribution functions (PDFs) from lattice QCD, a task thought to be extremely difficult before Ji's proposal. In this talk, we discuss this…

We present results for the flavor non-singlet u-d parton distribution functions within the nucleon using the quasi-PDF approach. The lattice calculation is performed by employing the twisted mass formulation and two gauge ensembles, having…

We present for the first time complete next-to-next-to-leading-order coefficient functions to match flavor non-singlet quark correlation functions in position space, which are calculable in lattice QCD, to parton distribution functions…

高能物理 - 唯象学 · 物理学 2021-02-24 Zheng-Yang Li , Yan-Qing Ma , Jian-Wei Qiu

Nonlocal quark bilinear operators connected by link paths are used for studying parton distribution functions (PDFs) and transverse momentum-dependent PDFs of hadrons using lattice QCD. The nonlocality makes it difficult to understand the…

高能物理 - 格点 · 物理学 2020-04-17 Jeremy R. Green , Karl Jansen , Fernanda Steffens

We analyze the light cone (Ioffe) time structure of the gluon distribution function in the double logarithmic approximation. We show that due to QCD evolution Ioffe equation is modified. The characteristic light cone time of the gluons does…

高能物理 - 唯象学 · 物理学 2014-11-17 Yuri V. Kovchegov , Mark Strikman

We propose a new approach to determining quasi parton distribution functions (PDFs) from lattice quantum chromodynamics. By incorporating the gradient flow, this method guarantees that the lattice quasi PDFs are finite in the continuum…

高能物理 - 格点 · 物理学 2017-04-26 Christopher Monahan , Kostas Orginos

We perform a comprehensive analysis of the strange-antistrange parton distribution function (PDF) asymmetry in the proton in the framework of chiral effective theory, including the full set of lowest order kaon loop diagrams with off-shell…

高能物理 - 唯象学 · 物理学 2016-12-21 X. G. Wang , Chueng-Ryong Ji , W. Melnitchouk , Y. Salamu , A. W. Thomas , P. Wang