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We present recent results on generalized parton distributions from dynamical lattice QCD calculations. Our set of twelve different combinations of couplings and quark masses allows for a preliminary study of the pion mass dependence of the…

High Energy Physics - Lattice · Physics 2019-08-14 M. Göckeler , Ph. Hägler , R. Horsley , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , J. M. Zanotti

We show that if an essentially arbitrary sequence supported on an interval containing $x$ integers, is convolved with a tiny Siegel-Walfisz-type sequence supported on an interval containing $\exp((\log x)^{\varepsilon})$ integers then the…

Number Theory · Mathematics 2018-11-22 Étienne Fouvry , Maksym Radziwiłł

We discuss in detail a method to study transverse momentum dependent parton distribution functions (TMDs) using lattice QCD. To develop the formalism and to obtain first numerical results, we directly implement a bi-local quark-quark…

High Energy Physics - Lattice · Physics 2012-07-17 Bernhard U. Musch , Philipp Hägler , John W. Negele , Andreas Schäfer

We explore the possibility to construct higher-twist parton distributions in a nucleon at some low reference scale from convolution integrals of the light-cone wave functions (WFs). To this end we introduce simple models for the…

High Energy Physics - Phenomenology · Physics 2011-07-08 V. M. Braun , T. Lautenschlager , A. N. Manashov , B. Pirnay

We study the transverse momentum dependent (TMD) parton distributions in the newly proposed quasi-parton distribution function framework in Euclidean space. A soft factor subtraction is found to be essential to make the TMDs calculable on…

High Energy Physics - Phenomenology · Physics 2015-04-16 Xiangdong Ji , Peng Sun , Xiaonu Xiong , Feng Yuan

Generalised parton distributions are instrumental to study both the three-dimensional structure and the energy-momentum tensor of the nucleon, and motivate numerous experimental programmes involving hard exclusive measurements. Based on a…

High Energy Physics - Phenomenology · Physics 2021-06-30 V. Bertone , H. Dutrieux , C. Mezrag , H. Moutarde , P. Sznajder

We study gradient corrections to the transport equation for energetic light partons in dense QCD environments. In the diffusion limit, the transport dynamics is solely controlled by small-angle elastic scatterings, leading to transverse…

High Energy Physics - Phenomenology · Physics 2023-03-29 João Barata , Andrey V. Sadofyev , Xin-Nian Wang

We argue that parton distributions in coordinate space provide a more natural object for nonperturbative methods compared to the usual momentum distributions in which the physics of different longitudinal distances is being mixed. To…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Braun , P. Górnicki , L. Mankiewicz

A contact interaction is used to calculate an array of pion twist-two, -three and -four generalised transverse light-front momentum dependent parton distribution functions (GTMDs). Despite the interaction's simplicity, many of the results…

High Energy Physics - Phenomenology · Physics 2021-02-03 Jin-Li Zhang , Zhu-Fang Cui , Jia-Lun Ping , Craig D. Roberts

The QCD evolution of the unpolarized Transverse Momentum Dependent (TMD) distribution functions and of the Sivers functions have been discussed in recent papers. Following such results we reconsider previous extractions of the Sivers…

High Energy Physics - Phenomenology · Physics 2013-05-30 M. Anselmino , M. Boglione , S. Melis

We study parton-branching solutions of QCD evolution equations and present a method to construct both collinear and transverse momentum dependent (TMD) parton densities from this approach. We work with next-to-leading-order (NLO) accuracy…

High Energy Physics - Phenomenology · Physics 2018-02-14 F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik

The quark generalised parton distributions of the pion are calculated from lightcone wavefunctions in transverse lattice gauge theory at large N_c. The pion effective size is found to decrease with increasing momentum transfer. An analytic…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Dalley

We describe the use of doubly-unintegrated parton distributions in hadron-hadron collisions, using the (z,k_t)-factorisation prescription where the transverse momentum of the incoming parton is generated in the last evolution step. We apply…

High Energy Physics - Phenomenology · Physics 2014-11-17 G. Watt , A. D. Martin , M. G. Ryskin

We investigate the Q^2 evolution of parton distributions at small x values, obtained in the case of flat initial conditions. The results are in excellent agreement with deep inelastic scattering experimental data from HERA.

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Kotikov , G. Parente

We present a lattice QCD determination of the distribution amplitude (DA) of the pion and the first few Mellin moments from an analysis of the quasi-DA matrix element within the leading-twist framework. We perform our study on a HISQ…

High Energy Physics - Lattice · Physics 2022-10-21 Xiang Gao , Andrew D. Hanlon , Nikhil Karthik , Swagato Mukherjee , Peter Petreczky , Philipp Scior , Sergey Syritsyn , Yong Zhao

We discuss the predictions of chiral quark models for basic pion properties entering high-energy processes: generalized parton distributions (GPD's) and unintegrated parton distributions (UPD's). We stress the role of the QCD evolution,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wojciech Broniowski , Enrique Ruiz Arriola

Valence quark distributions of pion at very low resolution scale $Q^{2}_0 \sim 0.1~GeV^2$ are deduced from a maximum entropy method, under the assumption that pion consists of only a valence quark and a valence anti-quark at such a low…

High Energy Physics - Phenomenology · Physics 2019-11-25 Chengdong Han , Hanyang Xing , Xiaopeng Wang , Qiang Fu , Rong Wang , Xurong Chen

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…

High Energy Physics - Lattice · Physics 2008-11-11 Bernhard U. Musch , Philipp Hägler , Andreas Schäfer , Dru B. Renner , John W. Negele , LHPC Collaboration

Applying arguments based on the operator product expansion for a three-point correlator and relying on quark-hadron duality, we derive an expression for the skewed (non-forward) parton distribution in the pion in the case of a…

High Energy Physics - Phenomenology · Physics 2009-08-25 Alexander P. Bakulev , Rusko Ruskov , Klaus Goeke , N. G. Stefanis

In the present study, we explore the properties of generalized parton distributions (GPDs) for the kaon and pion within the framework of the nonlocal chiral quark model (NL$\chi$QM). Valence quark GPDs of the kaon and pion are analyzed with…

High Energy Physics - Phenomenology · Physics 2025-03-28 Hyeon-Dong Son , Parada T. P. Hutauruk