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In this paper we provide a reconstruction algorithm for piecewise-smooth functions with a-priori known smoothness and number of discontinuities, from their Fourier coefficients, posessing the maximal possible asymptotic rate of convergence…

Numerical Analysis · Mathematics 2014-03-18 Dmitry Batenkov

We study the recovery of a finitely supported distribution, a complex linear combination of Dirac measures, from intensity measurements. The distribution $\mu=\sum_{j=1}^{s}c_{j}\delta_{t_{j}}$ is given by a coefficient vector…

Functional Analysis · Mathematics 2022-04-04 Bernhard G. Bodmann , Ahmed Abouserie

In a recent work \cite{Anderson:2010aq}, Anderson \emph{et al.} used the renormalization group (RG) evolution of the momentum distribution to show that, under appropriate conditions, operator expectation values exhibit factorization in the…

Nuclear Theory · Physics 2013-05-30 S. K. Bogner , D. Roscher

Factorization in gauge theories holds at the amplitude or amplitude-squared level for states of given soft or collinear momenta. When performing phase-space integrals over such states, one would generally like to avoid putting in explicit…

High Energy Physics - Phenomenology · Physics 2015-06-03 Ilya Feige , Matthew D. Schwartz , Kai Yan

We show for the first time in over 50 years how to correctly apply the Kinoshita-Lee-Nauenberg theorem diagrammatically in a next-to-leading order scattering process. We improve on previous works by including all initial and final state…

High Energy Physics - Theory · Physics 2017-01-04 Abdullah Khalil , W. A. Horowitz

We study electroweak Sudakov effects in single W, Z and gamma production at large transverse momentum using Soft Collinear Effective Theory. We present a factorized form of the cross section near the partonic threshold with both QCD and…

High Energy Physics - Phenomenology · Physics 2013-08-09 Thomas Becher , Xavier Garcia i Tormo

We study the large-order asymptotic behavior of the perturbation series for short-distance coefficients in the NRQCD factorization formulas for the decays J/psi --> e^+e^- and eta_c --> gamma gamma. The short-distance coefficients of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Eric Braaten , Yu-Qi Chen

We present the first combined analysis of the statistical rate function f in superallowed beta decays with ab initio calculations and data. We focus on C10 to 10B, 14O to 14N and 26mAl to 26Mg, all of which are important channels for the…

Nuclear Theory · Physics 2026-05-15 Bingcheng He , Mikhail Gorchtein , Matthias Heinz , Ben Ohayon , Lucas Platter , Chien-Yeah Seng

Casimir effects manifests that, the two closely paralleled plates, generally produce a macroscopic attractive force due to the quantum vacuum fluctuations of the electromagnetic fields. The derivation of the force requires an {\it…

High Energy Physics - Theory · Physics 2016-07-18 Gao Xianlong , Kelin Wang

We re-examine observables with rapidity divergences in the context of a formulation of Soft-Collinear Effective Theory in which infrared degrees of freedom are not explicitly separated into modes. We consider the Sudakov form factor with a…

High Energy Physics - Phenomenology · Physics 2021-07-28 Matthew Inglis-Whalen , Michael Luke , Aris Spourdalakis

Parton distribution functions (PDFs) at large $x$ are poorly constrained by high-energy experimental data, but extremely important for probing physics beyond standard model at colliders. We study the calculation of PDFs at large-$x$ through…

High Energy Physics - Phenomenology · Physics 2025-08-05 Xiangdong Ji , Yizhuang Liu , Yushan Su

We compute the next-to-next-to-leading order (NNLO) QCD corrections to the first five moments of six event shape variables related to three-particle final states in electron-positron annihilation; the thrust, the heavy jet mass, the…

High Energy Physics - Phenomenology · Physics 2009-06-11 A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , G. Heinrich

Endpoint divergences in the convolution integrals appearing in next-to-leading-power factorization theorems prevent a straightforward application of standard methods to resum large logarithmic power-suppressed corrections in collider…

High Energy Physics - Phenomenology · Physics 2022-07-29 Martin Beneke , Mathias Garny , Sebastian Jaskiewicz , Julian Strohm , Robert Szafron , Leonardo Vernazza , Jian Wang

The precision description of jet production plays an important role in many aspects of collider physics. In a recent paper we have presented a new factorization theorem for inclusive small radius jet production. The jet function appearing…

High Energy Physics - Phenomenology · Physics 2024-10-04 Kyle Lee , Ian Moult , Xiaoyuan Zhang

We combine the Dyson-Schwinger/Bethe-Salpeter equations framework with modern numerical reconstruction methods to derive the three-dimensional and transverse two-dimensional charge distribution of an array of ground-state pseudoscalar and…

High Energy Physics - Phenomenology · Physics 2024-06-21 Y. -Z. Xu , K. Raya , J. Segovia , J. Rodríguez-Quintero

The main obstacle in describing inclusive decay spectra in QCD - which, in particular, limits the precision in extrapolating the measured \bar{B} \to X(s) gamma rate to the full phase space as well as in extracting |V_{ub}| from inclusive…

High Energy Physics - Phenomenology · Physics 2007-05-23 Einan Gardi , Jeppe R. Andersen

We derive an infinite set of recursion formulae for Nekrasov instanton partition function for linear quiver U(N) supersymmetric gauge theories in 4D. They have a structure of a deformed version of W_{1+\infty} algebra which is called SH^c…

High Energy Physics - Theory · Physics 2013-08-09 Shoichi Kanno , Yutaka Matsuo , Hong Zhang

We propose a new, cyclic-voltammetry based experimental technique that can not only differentiate between discontinuous and continuous phase transitions in an adsorbate layer, but also quite accurately recover equilibrium behavior from…

Chemical Physics · Physics 2008-02-26 Ibrahim Abou Hamad , Daniel T. Robb , Mark A. Novotny , Per Arne Rikvold

We develop a systematic algorithm for constructing an N-fold supersymmetric system from a given vector space invariant under one of the supercharges. Applying this algorithm to spaces of monomials, we construct a new multi-parameter family…

High Energy Physics - Theory · Physics 2007-05-23 Artemio Gonzalez-Lopez , Toshiaki Tanaka

We study power corrections to the event shapes in $\e^+\e^--$annihilation in the two jets kinematical region, $e\ll 1$. We argue that for $e \sim \Lambda_{QCD}/Q$ all power corrections of the form $1/\lr{Qe}^n$ have to be taken into account…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sofiane Tafat
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