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Transverse momentum dependent parton distributions (TMDPDFs) which appear in factorized cross sections involve infinite Wilson lines with edges on or close to the light-cone. Since these TMDPDFs are not directly calculable with a Euclidean…

High Energy Physics - Phenomenology · Physics 2019-09-11 Markus A. Ebert , Iain W. Stewart , Yong Zhao

We present the results of T-even TMDs in a light front quark-diquark model of nucleons with the wave functions constructed from the soft-wall AdS/QCD prediction. The relations amongst TMDs are discussed. The $p_\perp$ dependence of the TMDs…

High Energy Physics - Phenomenology · Physics 2016-02-02 Tanmay Maji , Chandan Mondal , D. Chakrabarti , O. V. Teryaev

Following an earlier derivation by Catani-de Florian-Grazzini (2000) on the scheme dependence in the Collins-Soper-Sterman (CSS) resummation formalism in hard scattering processes, we investigate the scheme dependence of the Transverse…

High Energy Physics - Phenomenology · Physics 2015-10-07 Alexei Prokudin , Peng Sun , Feng Yuan

We derive exact closed form expressions for the first few terms of the short-distance Taylor expansion of the one-body correlation function of the Lieb-Liniger gas. As an intermediate result we obtain the high-p asymptotics of the momentum…

Condensed Matter · Physics 2009-11-07 Maxim Olshanii , Vanja Dunjko

We develop a theoretical framework to match transverse momentum dependent parton distribution functions (TMD PDFs) onto chiral effective theory operators. In this framework the TMD PDF is expressed as a convolution of TMD hadronic…

High Energy Physics - Phenomenology · Physics 2024-05-27 Marston Copeland , Thomas Mehen

Twist-3 partonic distributions contain important information that characterizes nucleon's structure. In this work, we show our lattice exploration of the twist-3 PDFs $g_T(x)$, and $h_L(x)$. We also present our preliminary results on the…

High Energy Physics - Lattice · Physics 2021-07-28 Shohini Bhattacharya , Krzysztof Cichy , Martha Constantinou , Andreas Metz , Aurora Scapellato , Fernanda Steffens

We investigate the twist-$3$ transverse-momentum-dependent parton distribution functions (TMDs) of the pion with basis light-front quantization. The twist-3 TMDs are not independent and can be decomposed into twist-$2$ and genuine twist-$3$…

High Energy Physics - Phenomenology · Physics 2023-04-12 Zhimin Zhu , Zhi Hu , Jiangshan Lan , Chandan Mondal , Xingbo Zhao , James P. Vary , BLFQ Collaboration

Sum rules for twist-3 distributions are reexamined. Integral relations between twist-3 and twist-2 parton distributions suggest the possibility for a $\delta$-function at $x=0$. We confirm and clarify this result by constructing $h_L$ and…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Burkardt , Y. Koike

When more than one hadron takes part in a hard process, an extended set of quark distribution and fragmentation functions becomes relevant. In this talk, the derivation of Soffer-like bounds for these functions, in the case of a spin-1/2…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Henneman

We describe basics of a new approach to transverse momentum dependence in hard exclusive processes. We develop it in application to the transition process \gamma^* \gamma -> \pi^0 at the handbag level. Our starting point is coordinate…

High Energy Physics - Phenomenology · Physics 2016-03-23 A. V. Radyushkin

We derive one-loop matching condition for non-singlet quark distributions in transverse-momentum cut-off scheme, including unpolarized, helicity and transversity distributions. The matching is between the quasi-distribution defined by…

High Energy Physics - Phenomenology · Physics 2014-08-13 Xiaonu Xiong , Xiangdong Ji , Jian-Hui Zhang , Yong Zhao

We discuss transverse polarization distribution and fragmentation functions, in particular, T-odd functions with transverse momentum dependence, which might be relevant for the description of single transverse spin asymmetries. The role of…

High Energy Physics - Phenomenology · Physics 2011-04-15 Daniel Boer

We present a new analysis of $A_N$ in $p^\uparrow p\to \pi\, X$ within the collinear twist-3 factorization formalism. We incorporate recently derived Lorentz invariance relations into our calculation and focus on input from the kinematical…

High Energy Physics - Phenomenology · Physics 2018-04-05 Leonard Gamberg , Zhong-Bo Kang , Daniel Pitonyak , Alexei Prokudin

Motivated by applications to prediction and forecasting, we suggest methods for approximating the conditional distribution function of a random variable Y given a dependent random d-vector X. The idea is to estimate not the distribution of…

Statistics Theory · Mathematics 2007-06-13 Peter Hall , Qiwei Yao

We calculate the leading twist pion unpolarized transverse momentum distribution $f_1(x,k_T^2)$ and the Boer-Mulders function $h_1^\perp(x,k_T^2)$, using leading Fock-state light front wave functions (LF-LFWFs) based on Dyson-Schwinger and…

High Energy Physics - Phenomenology · Physics 2023-04-25 Wei Kou , Chao Shi , Xurong Chen , Wenbao Jia

We derive some simple relations that demonstrate how the posterior convergence rate is related to two driving factors: a "penalized divergence" of the prior, which measures the ability of the prior distribution to propose a nonnegligible…

Statistics Theory · Mathematics 2014-11-12 Wenxin Jiang

We present a solution of the DGLAP evolution equations, written in terms of Sudakov form factors to describe the branching and no-branching probabilities, using a parton branching Monte Carlo method. We demonstrate numerically that this…

High Energy Physics - Phenomenology · Physics 2017-10-12 Aleksandra Lelek

We derive the factorization theorem for the quasi-transverse-momentum-dependent (quasi-TMD) correlator, including kinematic power corrections to all orders. The resulting expression involves only twist-two TMD distributions and is frame…

High Energy Physics - Phenomenology · Physics 2026-03-23 Alejandro Bris Cuerpo , Arturo Arroyo-Castro , Alexey Vladimirov

Higher-twist transverse momentum dependent parton distribution functions (TMDs) are a valuable probe of the quark-gluon dynamics in the nucleon, and play a vital role for the explanation of sizable azimuthal asymmetries in hadron production…

High Energy Physics - Phenomenology · Physics 2015-06-23 C. Lorcé , B. Pasquini , P. Schweitzer

We calculate, through Monte Carlo numerical simulations, the partial total and direct correlation functions of the three dimensional symmetric Widom-Rowlinson mixture. We find that the differences between the partial direct correlation…

Statistical Mechanics · Physics 2015-06-24 R. Fantoni , G. Pastore