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Nucleon structure functions can be observed in Deep Inelastic Scattering experiments, but it is an outstanding challenge to confront them with fully non-perturbative QCD results. For this purpose we investigate the product of…

High Energy Physics - Lattice · Physics 2010-11-05 W. Bietenholz , N. Cundy , M. Goeckeler , R. Horsley , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , T. Streuer , J. M. Zanotti

In this article we rederive the Boost operators in Coulomb-Gauge Yang-Mills theory employing the path-integral formalism and write down the complete operators for QCD. We immediately apply them to note that what are usually called the pion…

High Energy Physics - Phenomenology · Physics 2014-11-20 Maria Gomez Rocha , Felipe J. Llanes-Estrada , Dieter Schuette , Selym Villalba-Chavez

In this talk, we summarize how QCD evolution can be exploited to improve the treatment of transverse momentum dependent (TMD) parton distribution and fragmentation functions. The methods allow existing non-perturbative fits to be turned…

High Energy Physics - Phenomenology · Physics 2011-10-28 S. Mert Aybat , Ted C. Rogers

Using collinear factorization, we have calculated twist-six corrections to $\eta\gamma$ and $\eta^{\prime}\gamma$ transition form factors in QCD. Only a sub-set of light-cone operators of twist-six which can be factorized as a product of…

High Energy Physics - Phenomenology · Physics 2018-12-05 Janardan P. Singh , Shesha D. Patel

This paper derives the CS decomposition for orthogonal tensors (T-CSD) and the generalized singular value decomposition for two tensors (T-GSVD) via the T-product. The structures of the two decompositions are analyzed in detail and are…

Numerical Analysis · Mathematics 2021-07-01 Yating Zhang , Xiaoxia Guo , Pengpeng Xie , Zhengbang Cao

We review the current status of heavy quark symmetry and its applications to weak decays of hadrons containing a single heavy quark. After an introduction to the underlying physical ideas, we discuss in detail the formalism of the heavy…

High Energy Physics - Phenomenology · Physics 2010-11-01 Matthias Neubert

We characterize the convex-cyclic weighted composition operators $W_{(u,\psi)}$ and their adjoints on the Fock space in terms of the derivative powers of $ \psi$ and the location of the eigenvalues of the operators on the complex plane.…

Functional Analysis · Mathematics 2021-12-13 Tesfa Mengestie

We present the first quenched lattice QCD study of the form factors relevant for the hyperon semileptonic decay Sigma -> n l nu. The momentum dependence of both axial and vector form factors is investigated and the values of all the form…

High Energy Physics - Phenomenology · Physics 2009-11-11 D. Guadagnoli , V. Lubicz , M. Papinutto , S. Simula

The semileptonic decay B -> pi l nu is one of the most important reactions for the determination of the CKM matrix element |V_{ub}|. However, in order to extract |V_{ub}| from data one needs an accurate theoretical calculation of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefan Weinzierl , Oleg Yakovlev

In this paper we investigate the subleading twist corrections to the photon energy spectrum in the decay Lambda_b -> X_s \gamma and to the lepton energy spectrum in Lambda_b -> X_u l \bar{\nu}. As a first step we rederive the matching…

High Energy Physics - Phenomenology · Physics 2011-01-27 Michael Kraetz , Thomas Mannel

We provide a complete set of supersymmetric constraints for the anomalous dimensions of the conformal twist-two operators to all orders of perturbation theory. Employing them we derive new relations between the exclusive evolution kernels…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , D. Müller

We calculate the kinematic twist-3 and 4 corrections to the leading order amplitude of timelike Compton scattering (TCS) on a (pseudo-)scalar target, in the recently developed framework based on the conformal operator-product expansion.…

High Energy Physics - Phenomenology · Physics 2025-03-05 V. Martinez-Fernandez , B. Pire , P. Sznajder , J. Wagner

A new class of enhanced non-perturbative corrections to the inclusive B->X_s+gamma decay rate is identified, which contribute first at order Lambda/m_b in the heavy-quark expansion and cannot be described using a local operator product…

High Energy Physics - Phenomenology · Physics 2008-11-26 Seung J. Lee , Matthias Neubert , Gil Paz

In this work, we study the renormalization of nonlocal quark bilinear operators containing an asymmetric staple-shaped Wilson line at the one-loop level in both lattice and continuum perturbation theory. These operators enter the…

High Energy Physics - Lattice · Physics 2024-06-10 Gregoris Spanoudes , Martha Constantinou , Haralambos Panagopoulos

We define in a systematic way, based on the light-cone collinear factorization method, the chiral-odd generalized parton distributions (GPDs) of a pseudoscalar hadron (such as the pi0) up to twist 5. For that, we introduce the relevant…

High Energy Physics - Phenomenology · Physics 2013-09-03 B. Pire , L. Szymanowski , S. Wallon

In this paper we discuss the relationship between noninvertible topological operators, one-form symmetries, and decomposition of two-dimensional quantum field theories, focusing on two-dimensional orbifolds with and without discrete…

High Energy Physics - Theory · Physics 2024-08-16 E. Sharpe

We revisit the definition of the leading-twist chiral-even generalized parton distributions (GPDs) for $N \to \Delta$ baryon transitions. We identify and address deficiencies in previous definitions of the transition GPDs inspired by the…

High Energy Physics - Phenomenology · Physics 2025-11-20 June-Young Kim , Kirill M. Semenov-Tian-Shansky , Ho-Yeon Won , Sangyeong Son , Christian Weiss

Anomalous dimensions of twist-two operators govern the scale evolution of parton distribution functions. For off-shell external states, the physical twist-two operators mix with unknown gauge-variant operators under renormalization. In this…

High Energy Physics - Phenomenology · Physics 2024-09-17 Thomas Gehrmann , Andreas von Manteuffel , Tong-Zhi Yang

In this talk I will discuss a number of approaches designed to deal with the problem of setting up a fully non-perturbative renormalization procedure in lattice QCD. Methods based on Ward-Takahashi identities on hadronic states, on imposing…

High Energy Physics - Lattice · Physics 2009-10-28 G. C. Rossi

Let $F$ be a non-archimedean local field of characteristic zero, let $(\pi,V)$ be an irreducible, admissible representation of $\GSp(4,F)$ with trivial central character, and let $\chi$ be a quadratic character of $F^\times$ with conductor…

Number Theory · Mathematics 2013-07-11 Jennifer Johnson-Leung , Brooks Roberts
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