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Related papers: Twist Three Distribution e(x) : Sum Rules and Equa…

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In order to study twist-3 and transverse momentum dependent parton distributions, we use light-front time-ordered pQCD at order $\alpha_s$ to calculate various distribution functions for a dressed quark target. This study enables us to…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. Kundu , A. Metz

We calculate the twist three distribution f_\perp(x,k^\perp) contributing to Cahn effect in unpolarized semi-inclusive deep inelastic scattering. We use light-front Hamiltonian technique and take the state to be a dressed quark at one loop…

High Energy Physics - Phenomenology · Physics 2015-05-19 A. Mukherjee , R. Korrapati

We present a QCD analysis of the twist-three parton distribution functions associated with the spin-orbit correlation of quarks and gluons in spin-$\frac{1}{2}$ and spin-0 hadrons. We derive exact non-perturbative identities decomposing the…

High Energy Physics - Phenomenology · Physics 2024-08-21 Yoshitaka Hatta , Jakob Schoenleber

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

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 2009-11-07 M. Burkardt , Y. Koike

We discuss the twist-three, unpolarized, chiral-odd, transverse momentum dependent parton distribution (TMD) $e^q(x,k_\perp)$ within a light-front model. We review a model-independent decomposition of this TMD, which follows from the QCD…

High Energy Physics - Phenomenology · Physics 2018-12-06 B. Pasquini , S. Rodini

Through an impulse approximation analysis of single spin Sivers and Collins asymmetries in the Bjorken limit, the possibility to extract the quark transverse-momentum distributions in the neutron from semi-inclusive deep inelastic electron…

High Energy Physics - Phenomenology · Physics 2013-02-12 Emanuele Pace , Giovanni Salme' , Sergio Scopetta , Alessio Del Dotto

We investigate the helicity dependent twist-two and twist-three generalized parton distributions in light-front Hamiltonian QCD for a massive dressed quark target. Working in the kinematical region $\xi< x <1$, we obtain the splitting…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Mukherjee , M. Vanderhaeghen

We have scrutinized the transverse momentum dependent quark-gluon-quark correlation function. We have utilized the light-front quark-diquark model to study the time-reversal-odd interaction-dependent twist-3 gluon distributions which we…

High Energy Physics - Phenomenology · Physics 2022-03-01 Shubham Sharma , Narinder Kumar , Harleen Dahiya

The possibility to extract the quark transverse-momentum distributions in the neutron from semi-inclusive deep inelastic electron scattering off polarized 3He is illustrated through an impulse approximation analysis in the Bjorken limit.…

High Energy Physics - Phenomenology · Physics 2015-06-12 Emanuele Pace , Giovanni Salme' , Sergio Scopetta , Alessio Del Dotto , Matteo Rinaldi

We derive a new twist-3 partonic sum rule for the transverse spin of the proton, which involves the well-know quark spin structure function $g_T(x)=g_1(x)+g_2(x)$, the less-studied but known transverse gluon polarization density $\Delta…

High Energy Physics - Phenomenology · Physics 2021-06-30 Yuxun Guo , Xiangdong Ji , Kyle Shiells

The analysis of semi-inclusive deep inelastic electron scattering off polarized $^3$He at finite momentum transfers, aimed at the extraction of the quark transverse-momentum distributions in the neutron, requires the use of a distorted…

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

The twist-three distributions $g_2(x)$ and $h_2(x)$ are defined as quark-field matrix elements between polarized hadron states. They can be written in terms of quark-mass and gluonic operators, after which the Burkhardt-Cottingham sum rule…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. D. Tangerman , P. J. Mulders

Properties of the nucleon twist-3 distribution function e(x) are reviewed. It is emphasized that the QCD equations of motion imply the existence of a delta-function at x=0 in e(x), which gives rise to the pion-nucleon sigma-term. According…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Efremov , P. Schweitzer

We address the propagation and hadronization of a struck quark by studying the gauge invariance of the color-averaged cut quark propagator, and by relating this to the single inclusive quark fragmentation correlator by means of new sum…

High Energy Physics - Phenomenology · Physics 2019-10-14 Alberto Accardi , Andrea Signori

In deep-inelastic scattering experiments, there is a general connection between subtractions in dispersion relations, violations of sum-rules and $\delta$-functions in parton distribution functions. It is explained why one might expect a…

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

The unpolarized twist-2 (leading) and twist-3 (subleading), T-even, transverse-momentum dependent quark distributions in the pion are evaluated for the first time by using the actual solution of a dynamical equation in Minkowski space. The…

High Energy Physics - Phenomenology · Physics 2023-01-30 E. Ydrefors , W. de Paula , T. Frederico , G. Salmè

In valence approximation the fermion correlator is simply related to the light-front spectral function. Then the leading twist time-reversal even transverse momentum distributions can be explicitly obtained from the light-front wave…

Nuclear Theory · Physics 2019-03-20 Emanuele Pace , Giovanni Salme' , Sergio Scopetta

To resolve the current ambiguity in the splitting function corresponding to the quark transversity distribution $h_1(x)$, we calculate $h_1(x)$ for a dressed quark in light-front Hamiltonian perturbation theory. Our result agrees with the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Asmita Mukherjee , Dipankar Chakrabarti
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