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We derive a Feynman-Hellmann theorem relating the second-order nucleon energy shift resulting from the introduction of periodic source terms of electromagnetic and isovector axial currents to the parity-odd nucleon structure function…

High Energy Physics - Phenomenology · Physics 2019-05-30 Chien-Yeah Seng , Ulf-G. Meißner

We present the fully up-to-date calculation of the $\gamma Z$-box correction which needs to be taken into account to determine the weak mixing angle at low energies from parity-violating electron proton scattering. We make use of neutrino…

High Energy Physics - Phenomenology · Physics 2019-09-25 Jens Erler , Mikhail Gorchtein , Oleksandr Koshchii , Chien-Yeah Seng , Hubert Spiesberger

The $\gamma Z$-box diagram for parity violating elastic $e$-$p$ scattering has recently undergone a thorough analysis by several research groups. Though all now agree on the analytic form of the diagram, the numerical results differ due to…

High Energy Physics - Phenomenology · Physics 2013-08-09 Benjamin C. Rislow , Carl E. Carlson

We highlight QCDSF/UKQCD Collaboration's recent developments on computing the Compton amplitude directly via an implementation of the second order Feynman-Hellmann theorem. As an application, we compute the nucleon Compton tensor across a…

High Energy Physics - Lattice · Physics 2021-10-05 K. U. Can , A. Hannaford-Gunn , E. Sankey , R. Horsley , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , H. Stuben , R. D. Young , J. M. Zanotti

The partonic structure of hadrons plays an important role in a vast array of high-energy and nuclear physics experiments. It also underpins the theoretical understanding of hadron structure. Recent developments in lattice QCD offer new…

High Energy Physics - Lattice · Physics 2020-01-16 A. Hannaford-Gunn , R. Horsley , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , K. Somfleth , H. Stüben , R. D. Young , J. M. Zanotti

We compute the Gross-Llewellyn Smith sum rule, i.e. the lowest odd moment of the parity-violating structure function, $F_3$, of the nucleon from a lattice QCD calculation of the Compton amplitude. Our calculations are performed on $48^3…

The primary motive of parity violating deep inelastic scattering experiments has been to test the standard model, particularly the axial couplings to the quarks, in the scaling region. The measurements can also test for the validity of…

High Energy Physics - Phenomenology · Physics 2013-05-30 Carl E. Carlson , Benjamin C. Rislow

The structure of hadrons relevant for deep-inelastic scattering are completely characterised by the Compton amplitude. A direct calculation of the Compton amplitude in a lattice QCD setup provides a way to accessing the structure functions,…

We compute moments of distribution amplitudes using gauge configurations with two flavors of clover fermions from QCDSF/DIK and operators which are optimized with respect to their behavior under the lattice symmetries. The knowledge of…

Studying the possible breaking of various parton model symmetries by the parton distribution functions of the nucleon can provide important information for the non-perturbative structure of hadrons and the strong interaction. We review…

High Energy Physics - Phenomenology · Physics 2015-06-03 Fu-Guang Cao

The calculation of baryon wave functions at small inter-quark separations is an ongoing effort within the QCDSF collaboration. In this update on normalization constants and distribution amplitudes of the nucleon and its negative parity…

We present a determination of the structure functions of the off-forward Compton amplitude $\mathcal{H}_1$ and $\mathcal{E}_1$ from the Feynman-Hellmann method in lattice QCD. At leading twist, these structure functions give access to the…

High Energy Physics - Lattice · Physics 2024-07-11 A. Hannaford-Gunn , K. U. Can , J. A. Crawford , R. Horsley , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

Parity violating asymmetry in inclusive scattering of longitudinally polarized electrons by unpolarized protons with $\pi^0$ or $\pi^+$ meson production, is calculated as a function of the momentum transfer squared $Q^2$ and the total…

Nuclear Theory · Physics 2009-11-06 Michail P. Rekalo , Jacques Arvieux , Egle Tomasi-Gustafsson

Nuclear shadowing in the structure function $F_3$ is investigated as a possible test of shadowing models. The $F_3$ shadowing is studied in two different theoretical models: a parton-recombination model with $Q^2$ rescaling and an…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Kumano , M. Miyama

Structure functions are the essential objects for understanding the deep inelastic scattering processes, providing valuable insight into the partonic structure of hadrons. A direct calculation of the Compton amplitude provides a…

High Energy Physics - Lattice · Physics 2022-12-20 K. Utku Can

In the Framework of {\it{valon model}} we have calculated the parton distribution in a valon for both the polarized and unpolarized cases. These distributions are originated purely from the dressing of a valence quark in QCD and are common…

High Energy Physics - Phenomenology · Physics 2007-05-23 Firooz Arash , Fatemeh Taghavi

We study nuclear effects in the structure function F_3 which describes the parity violating part of the charged-current neuitrino nucleon deep inelastic scattering. Starting from a covariant approach we derive a factorized expression for…

Nuclear Theory · Physics 2014-11-18 S. A. Kulagin

A phenomenological model for the nucleon structure functions is presented. Visualising the nucleon as a cavity filled with parton gas in equilibrium and parametrizing the effects due to the finiteness of the nucleon volume, we obtain a good…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. S. Bhalerao

We compute the coefficient function for the charge-averaged W^(+/-)-exchange structure function F_3 in deep-inelastic scattering (DIS) to the third order in massless perturbative QCD. Our new three-loop contribution to this quantity forms,…

High Energy Physics - Phenomenology · Physics 2010-04-05 S. Moch , J. Vermaseren , A. Vogt

Quantum chromodynamics is a fundamental non-abelian gauge theory of strong interactions. The physical quantum chromodynamics vacuum state, $|\theta\rangle$, is a linear superposition of the $n$-vacua states with different topological…

High Energy Physics - Phenomenology · Physics 2020-04-30 Weihua Yang
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