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In this paper we discuss global well - posedness and scattering for some initial value problems that are $L^{2}$ supercritical and $\dot{H}^{1}$ subcritical, with radial data. We prove global well - posedness and scattering for radial data…

Analysis of PDEs · Mathematics 2019-06-18 Benjamin Dodson

The recently developed "Data Set Diagonalization" method (DSD) is applied to measure compatibility of the data sets that are used to determine parton distribution functions (PDFs). Discrepancies among the experiments are found to be…

High Energy Physics - Phenomenology · Physics 2010-04-22 Jon Pumplin

We give the generalization of Fractional Analytic Perturbation Theory (FAPT) for QCD observables, recently developed both for the Euclidean and Minkowski regions of squared momentum transfer q^2, which takes into account heavy-quark…

High Energy Physics - Phenomenology · Physics 2010-12-30 Alexander P. Bakulev

We present an alternate formulation of the partial assignment problem as matching random clique complexes, that are higher-order analogues of random graphs, designed to provide a set of invariants that better detect higher-order structure.…

Machine Learning · Computer Science 2020-07-30 Charu Sharma , Deepak Nathani , Manohar Kaul

Common to many analysis pipelines in lattice gauge theory and the broader scientific discipline is the need to fit a semi-parametric model to data. We propose a fit method that utilizes a radial basis function network to approximate the…

High Energy Physics - Lattice · Physics 2024-02-29 Curtis Taylor Peterson , Anna Hasenfratz

Computations at next-to-leading order in the Standard Model offer new technical challenges in presence of higher dimensional operators. We introduce a framework that, starting from the top-quark effective field theory at dimension six,…

High Energy Physics - Phenomenology · Physics 2015-03-05 Celine Degrande , Fabio Maltoni , Jian Wang , Cen Zhang

The quantum statistical parton distributions approach proposed more than one decade ago is revisited by considering a larger set of recent and accurate Deep Inelastic Scattering experimental results. It enables us to improve the description…

High Energy Physics - Phenomenology · Physics 2015-12-09 Claude Bourrely , Jacques Soffer

This talk discusses the effective field theory view of deep inelastic scattering. In such an approach, the standard factorization formula of a hard coefficient multiplied by a parton distribution function arises from matching of QCD onto an…

High Energy Physics - Phenomenology · Physics 2014-11-21 Gil Paz

The paper suggests the use of Multi-Valued Decision Diagrams (MDDs) as the supporting data structure for a generic global constraint. We give an algorithm for maintaining generalized arc consistency (GAC) on this constraint that amortizes…

Artificial Intelligence · Computer Science 2007-05-23 Peter Tiedemann , Henrik Reif Andersen , Rasmus Pagh

I present a new class of topological string theories, and discuss them in two dimensions as candidates for the string description of large-$N$ QCD. The starting point is a new class of topological sigma models, whose path integral is…

High Energy Physics - Theory · Physics 2007-05-23 Petr Horava

By taking the high-energy limit of the two-loop amplitudes for parton-parton scattering, we have tested the validity of Fadin-Lipatov's ansatz for parton-parton scattering in the high-energy limit. As expected, we have found that it holds…

High Energy Physics - Phenomenology · Physics 2010-02-03 Vittorio Del Duca , E. W. N. Glover

We prove global well-posedness and scattering for the massive Dirac-Klein-Gordon system with small and low regularity initial data in dimension two. To achieve this, we impose a non-resonance condition on the masses.

Analysis of PDEs · Mathematics 2025-01-08 Ioan Bejenaru , Vitor Borges

We introduce several modifications of conic fitting in Geometric algebra for conics by incorporating additional conditions into the optimisation problem. Each of these extra conditions ensure additional geometric properties of a fitted…

Numerical Analysis · Mathematics 2021-03-29 Pavel Loučka , Petr Vašík

The excess mass of the neutron over the proton arises from two sources within the Standard Model, electromagnetism and the splitting of the down and up quark masses. The Cottingham Formula provides a means of determining the QED corrections…

Nuclear Theory · Physics 2019-07-15 Andre Walker-Loud

This paper pursues a twofold goal. First, we introduce and study in detail a new notion of variational analysis called generalized metric subregularity, which is a far-going extension of the conventional metric subregularity conditions. Our…

Optimization and Control · Mathematics 2024-06-21 Guoyin Li , Boris Mordukhovich , Jiangxing Zhu

For a cuspidal automorphic representation of GL2/Q associated to a modular form, the local and global Langlands correspondences are compatible at all finite places of Q. On the p-adic Coleman-Mazur eigencurve this principle can fail (away…

Number Theory · Mathematics 2010-01-14 Alexander G. M. Paulin

Mixed superposition rules are, in short, a method to describe the general solutions of a time-dependent system of first-order differential equations, a so-called Lie system, in terms of particular solutions of other ones. This article is…

Mathematical Physics · Physics 2025-11-04 Rutwig Campoamor-Stursberg , Oscar Carballal , Francisco J. Herranz , Javier de Lucas

Generalized parton distributions (GPDs) characterize the 3-dimensional structure of hadrons, combining information about their internal quark and gluon longitudinal momentum distributions and transverse position within the hadron. The…

High Energy Physics - Phenomenology · Physics 2024-12-25 A. Freese , D. Adamiak , I. Cloët , W. Melnitchouk , J. -W. Qiu , N. Sato , M. Zaccheddu

We explore the recently derived equation that resums DGLAP corrections to the JIMWLK Hamiltonian in the simplified setting of the SU(2) gauge theory. We solve the equation numerically for the scattering matrix of a dressed gluon for a…

High Energy Physics - Phenomenology · Physics 2025-07-22 Néstor Armesto , Alex Kovner , Víctor López-Pardo

We report on our lattice calculations of the nucleon's generalized parton distributions (GPDs), concentrating on their first moments for the case of N_f=2. Due to recent progress on the numerical side we are able to present results for the…

High Energy Physics - Lattice · Physics 2012-03-30 A. Sternbeck , M. Göckeler , Ph. Hägler , R. Horsley , Y. Nakamura , A. Nobile , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , J. Zanotti