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We reexamine the derivation of the leading order QCD evolution equations of twist-3 quark-gluon correlation functions, $T_{q,F}(x,x)$ and $T^{(\sigma)}_{q,F}(x,x)$, which are the first transverse-momentum-moment of the…

High Energy Physics - Phenomenology · Physics 2012-06-22 Zhong-Bo Kang , Jian-Wei Qiu

We consider the infinite divisibility of distributions of some well-known inverse subordinators. Using a tail probability bound, we establish that distributions of many of the inverse subordinators used in the literature are not infinitely…

Probability · Mathematics 2019-02-11 Arun Kumar , Erkan Nane

In this paper distribution amplitudes of pseudoscalar and vector nonrelativistic mesons are considered. Using equations of motion for the distribution amplitudes, it is derived relations which allow one to calculate the masses of…

High Energy Physics - Phenomenology · Physics 2011-03-17 V. V. Braguta

We present results for leading-twist azimuthal asymmetries in semi-inclusive lepton-nucleon deep-inelastic scattering due to naively time-reversal odd transverse-momentum dependent parton distribution functions from the light-cone…

High Energy Physics - Phenomenology · Physics 2011-07-08 B. Pasquini , P. Schweitzer

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 I. O. Cherednikov , N. G. Stefanis

The transverse-momentum dependent quark distributions are studied in the limit of the large number of colors Nc. The leading orders of Nc are determined for all twist-2 distributions including the T-odd functions. The isospin structure of…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. V. Pobylitsa

Estimates for leading and non-leading `twist' distribution functions are obtained within the framework of a diquark spectator model using a non-local operator representation.

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Jakob , P. J. Mulders , J. Rodrigues

In gauge theory, it is commonly stated that time-reversal symmetry only exists at $\theta=0$ or $\pi$ for a $2\pi$-periodic $\theta$-angle. In this paper, we point out that in both the free Maxwell theory and massive QED, there is a…

High Energy Physics - Theory · Physics 2023-04-12 Yichul Choi , Ho Tat Lam , Shu-Heng Shao

Distribution functions in hard processes can be described by quark-quark correlators, nonlocal matrix elements of quark fields. Color gauge invariance requires inclusion of appropriate gauge links in these correlators. For transverse…

High Energy Physics - Phenomenology · Physics 2009-11-10 C. J. Bomhof , P. J. Mulders , F. Pijlman

The potential of location-shift models to find adequate models between the proportional odds model and the non-proportional odds model is investigated. It is demonstrated that these models are very useful in ordinal modeling. While…

Methodology · Statistics 2020-06-09 Gerhard Tutz , Moritz Berger

The chiral-odd distribution function $h_1$ is discussed in the framework of the renormalon approach. Using a bag-model calculation for $h_1$, we calculate its intrinsic uncertainty due to renormalon poles. The result is given as a function…

High Energy Physics - Phenomenology · Physics 2008-02-03 M. Meyer-Hermann , A. Schäfer

Transverse-momentum-dependent parton distribution functions (TMDs) were investigated at the twists 3 and 4 for spin-1 hadrons in addition to the twist-2 ones. They were found by studying all the possible decomposition of a quark correlation…

High Energy Physics - Phenomenology · Physics 2023-01-18 S. Kumano , Qin-Tao Song

En effective chiral theory of large N_C QCD of pseudoscalar, vector, and axial-vector mesons is reviewed.

High Energy Physics - Phenomenology · Physics 2017-08-23 Bing An Li

In Quantum Chromodynamics (QCD) the eigenmodes of the Dirac operator with small absolute eigenvalues have a close relationship to the dynamical breaking of the chiral symmetry. In a simulation with two dynamical quarks, we study the…

High Energy Physics - Lattice · Physics 2015-03-19 C. B. Lang , Mario Schröck

We develop a family of chiral measures to quantify the chirality of a distribution and assign it a handedness. Our measures are built using the tensorial moments of the distribution, which naturally encode its spatial character, not only…

Data Analysis, Statistics and Probability · Physics 2026-03-31 Emilio Pisanty , Nicola Mayer , Andrés Ordóñez , Alexander Löhr , Margarita Khokhlova

We re-analyze the leading twist light-cone distributions for transversely polarized \rho-, \rho'- and b_1-mesons in the framework of QCD sum rules with nonlocal condensates. Using different kinds of sum rules to obtain reliable predictions,…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. P. Bakulev , S. V. Mikhailov

This paper is devoted to the study of the leading twist distribution amplitudes of P-wave nonrelativistic mesons. It is shown that at the leading order approximation in relative velocity of quark-antiquark pair inside the mesons these…

High Energy Physics - Phenomenology · Physics 2009-04-22 V. V. Braguta , A. K. Likhoded , A. V. Luchinsky

Symmetries have a crucial role in today's physics. In this thesis, we are mostly concerned with time reversal invariance (T-symmetry). A physical system is time reversal invariant if its underlying laws are not sensitive to the direction of…

History and Philosophy of Physics · Physics 2018-03-01 Reza Moulavi Ardakani

Chiral active fluids are materials composed of self-spinning rotors that continuously inject energy and angular momentum at the microscale. Out-of-equilibrium fluids with active-rotor constituents have been experimentally realized using…

Soft Condensed Matter · Physics 2017-11-22 Debarghya Banerjee , Anton Souslov , Alexander G. Abanov , Vincenzo Vitelli

Recent work suggests non-trivial relations between generalized parton distributions on the one hand and (naive time-reversal odd) transverse momentum dependent distributions on the other. Here we review the present knowledge on such type of…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Meissner , A. Metz , K. Goeke