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This paper puts forward a new generalized polynomial dimensional decomposition (PDD), referred to as GPDD, comprising hierarchically ordered measure-consistent multivariate orthogonal polynomials in dependent random variables. Unlike the…

Numerical Analysis · Mathematics 2018-10-30 Sharif Rahman

Generalized parton distributions (GPDs) have been investigated in the deeply virtual Compton scattering (DVCS) to solve the proton spin puzzle. On the other hand, the generalized distribution amplitudes (GDAs) can be studied in the…

High Energy Physics - Phenomenology · Physics 2018-08-21 Qin-Tao Song

We calculate the leading order diphoton generalized distribution amplitude by calculating the amplitude of the process gamma* gamma -> gamma gamma in the low energy and high photon virtuality region at the Born order and in the leading…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. El Beiyad , B. Pire , L. Szymanowski , S. Wallon

We present a nonperturbative QCD calculation of diffractive vector meson production in virtual photon nucleon scattering at high energy. We use the nonperturbative model of the stochastic QCD vacuum which yields linear confinement and makes…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. G. Dosch , T. Gousset , G. Kulzinger , H. J. Pirner

We present the next-to-leading order QCD corrections to the associated production of the vector gauge boson ($Z/W^\pm$) and the graviton in the large extra dimension model at the LHC. We estimate the impact of the QCD corrections on the…

High Energy Physics - Phenomenology · Physics 2011-05-26 M. C. Kumar , Prakash Mathews , V. Ravindran , Satyajit Seth

We explore the spectral properties of the time-dependent Maxwell's equations for a plane interface between a metamaterial represented by the Drude model and the vacuum, which fill respectively complementary half-spaces. We construct…

Analysis of PDEs · Mathematics 2016-10-11 Maxence Cassier , Christophe Hazard , Patrick Joly

We study the statistical properties of the off-diagonal matrix elements of observables in the energy eigenstates of integrable quantum systems. They have been found to be dense in the spin-1/2 XXZ chain, while they are sparse in…

Statistical Mechanics · Physics 2022-08-01 Yicheng Zhang , Lev Vidmar , Marcos Rigol

We study the exclusive diffractive $c \bar c$ photoproduction in ultraperipheral $pA$ collisions. The formalism makes use of off-diagonal generalizations of the unintegrated gluon distribution, the so-called generalized transverse momentum…

High Energy Physics - Phenomenology · Physics 2024-03-25 Barbara Linek , Agnieszka Łuszczak , Marta Łuszczak , Roman Pasechnik , Wolfgang Schäfer , Antoni Szczurek

Within the basis light-front quantization (BLFQ) framework, we evaluate the gluon chiral-odd generalized parton distributions (GPDs) inside the proton at zero skewness. We employ the light-front wave functions of the proton obtained from a…

High Energy Physics - Phenomenology · Physics 2024-08-20 Bolang Lin , Sreeraj Nair , Chandan Mondal , Siqi Xu , Zhi Hu , Pengxiang Zhang , Xingbo Zhao , James P. Vary

A general method to derive the diagonal representation for a generic matrix valued quantum Hamiltonian is proposed. In this approach new mathematical objects like non-commuting operators evolving with the Planck constant promoted as a…

Mathematical Physics · Physics 2009-11-10 Pierre Gosselin , Herve Mohrbach

As a consequence of QCD factorization theorems, a wide variety of inclusive and exclusive cross sections may be formulated in terms of a universal colour dipole cross section at small $x$. It is well known that for small transverse size…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. McDermott , L. Frankfurt , V. Guzey , M. Strikman

A brief review of the modern QCD theory of diffractive DIS is given. The recent progress has been remarkably rapid, all the principal predictions from the color dipole approach to diffraction - the $(Q^2+m_V^2)$ scaling, the pattern of…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. N. Nikolaev

The vector quantization is a widely used method to map continuous representation to discrete space and has important application in tokenization for generative mode, bottlenecking information and many other tasks in machine learning. Vector…

Machine Learning · Computer Science 2024-10-15 Mingyuan Yan , Jiawei Wu , Rushi Shah , Dianbo Liu

This paper studies high-dimensional regression with two-way structured data. To estimate the high-dimensional coefficient vector, we propose the generalized matrix decomposition regression (GMDR) to efficiently leverage any auxiliary…

Methodology · Statistics 2023-02-17 Yue Wang , Ali Shojaie , Timothy W. Randolph , Parker Knight , Jing Ma

Based on the two-gluon-exchange dynamical mechanism for deeply inelastic scattering at low x ~= Q^2/W^2 <<1, we stress the intimate connection between the total virtual photoabsorption cross section, deeply virtual Compton scattering and…

High Energy Physics - Phenomenology · Physics 2014-11-17 Masaaki Kuroda , Dieter Schildknecht

Generalized Parton Distributions (GPDs) provide information on the distribution of quarks in impact paarmeter space. For transversely polarized nucleons, these impact parameter distributions are transversely distorted and this deviation…

High Energy Physics - Phenomenology · Physics 2016-11-23 Matthias Burkardt

Weak gravitational lensing is normally assumed to have only two principle effects: a magnification of a source and a distortion of the sources shape in the form of a shear. However, further distortions are actually present owing to changes…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Chris Clarkson

In this work, we apply the generalised Feshbach Villars transformation (GFVT) to spin-0 scalar fields in a Schwarzschild gravitational background. Starting from the covariant Klein Gordon equation, we reformulate the dynamics in the FV…

General Relativity and Quantum Cosmology · Physics 2025-09-17 Sarra Garah , Abdelmalek Boumali

We study the nonperturbative properties of the nucleon's chiral-odd generalized parton distributions (transversity GPDs) in the large-$N_c$ limit of QCD. This includes the parametric ordering of the spin-flavor components, the polynomiality…

High Energy Physics - Phenomenology · Physics 2024-11-27 June-Young Kim , Christian Weiss

We study the three-body radiative decays $B\to \phi(\rho) K\gamma$ induced by a flavor-changing neutral current in the perturbative QCD approach. Pseudoscalar-vector ($PV$) distribution amplitudes (DAs) are introduced for the final-state…

High Energy Physics - Phenomenology · Physics 2018-03-07 Chao Wang , Jing-Bin Liu , Hsiang-nan Li , Cai-Dian Lü