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We present some new and explicit error bounds for the approximation of distributions. The approximation error is quantified by the maximal density ratio of the distribution $Q$ to be approximated and its proxy $P$. This non-symmetric…

Statistics Theory · Mathematics 2022-09-02 Lutz Duembgen , Richard Samworth , Jon Wellner

The recent precision measurement of the $W$-boson mass reveals an exciting hint for the new physics as of the 3-3-1 model. We indicate that the 3-3-1 model contains distinct sources by itself that may cause the $W$-mass deviation, as…

High Energy Physics - Phenomenology · Physics 2023-01-31 Duong Van Loi , Phung Van Dong

A prevalent problem in general state-space models is the approximation of the smoothing distribution of a state, or a sequence of states, conditional on the observations from the past, the present, and the future. The aim of this paper is…

Statistics Theory · Mathematics 2009-04-03 Randal Douc , Aurelien Garivier , Eric Moulines , Jimmy Olsson

With recent advances in the precision of inclusive lepton--nuclear scattering experiments, it has become apparent that comparable improvements are needed in the accuracy of the theoretical analysis tools. In particular, when extracting…

We use the Mellin-Barnes representation in order to improve the theoretical estimate of mass corrections to the width of light pseudoscalar meson decay into a lepton pair, $P\to l^+l^-$ . The full resummation of the terms…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. E. Dorokhov , M. A. Ivanov

We consider the problem of reconstructing wideband frequency spectra from distributed, compressive measurements. The measurements are made by a network of nodes, each independently mixing the ambient spectra with low frequency, random…

Information Theory · Computer Science 2015-06-25 Thomas Kealy , Oliver Johnson , Robert Piechocki

We present the radiative corrections to off-shell $W$-pair production, as calculated within the double-pole approximation.

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Beenakker , F. A. Berends , A. P. Chapovsky

The multipole expansion is a key tool in the study of light-matter interactions. All the information about the radiation of and coupling to electromagnetic fields of a given charge-density distribution is condensed into few numbers: The…

Optics · Physics 2018-05-08 R. Alaee , C. Rockstuhl , I. Fernandez-Corbaton

We present a generalized formulation for reweighted least squares approximations. The goal of this article is twofold: firstly, to prove that the solution of such problem can be expressed as a convex combination of certain interpolants when…

The current status of electroweak physics results from LEP is reviewed. Particular emphasis is placed on the latest results on the properties of the Z and W bosons. The updated status of the global electroweak fit to the standard model and…

High Energy Physics - Experiment · Physics 2007-05-23 F. Spano'

We explore the stability of the variance and skewness of the cosmic gravitational convergence field, using two different approaches: first we simulate a whole MEGACAM survey (100 sq. degrees). The reconstructed mass map, obtained from a…

Astrophysics · Physics 2007-05-23 A. Thion , Y. Mellier , F. Bernardeau , E. Bertin , T. Erben , L. van Waerbeke

The QCD corrections to electroweak parameters depend on the renormalization scheme and scales used to define the top-quark mass. We analyze these dependences for the W-boson mass predicted via Delta r to O(alpha alpha_s) and O(alpha…

High Energy Physics - Phenomenology · Physics 2015-06-25 B. A. Kniehl

The problem of estimating the probability of a random process reaching a certain level is well known. In this article, two-sided estimates are established for the probability that a regenerative process reaches a high level. Two auxiliary…

Probability · Mathematics 2025-10-29 Kateryna Akbash , Ivan Matsak , Oleg Zakusylo

Renormalization of massless Feynman amplitudes in $x$-space is reexamined here, using almost exclusively real-variable methods. We compute a wealth of concrete examples by means of recursive extension of distributions. This allows us to…

High Energy Physics - Theory · Physics 2017-02-23 José M. Gracia-Bondía , Heidy Gutiérrez , Joseph C. Várilly

A set of equations representing the $W/Z$ mass ratio and various observables of $Z$ decays in terms of $\bar\alpha \equiv\alpha (m_Z)$, $G_{\mu}$, $m_Z$, $m_t$, $m_H$, $\bar\alpha_{s} \equiv\alpha_{s} (m_Z)$, $m_b$ and $m_\tau$ (all other…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. A. Novikov , L. B. Okun , A. N. Rozanov , M. I. Vysotsky , V. P. Yurov

We explore the possibility of putting constraints on quintessence models with large-scale structure observations. In particular we compute the linear and second order growth rate of the fluctuations in different flavors of quintessence…

Astrophysics · Physics 2009-11-06 K. Benabed , F. Bernardeau

The maximum-entropy method is applied to the problem of reconstructing the projected mass density of a galaxy cluster using its gravitational lensing effects on background galaxies. We demonstrate the method by reconstructing the mass…

Astrophysics · Physics 2009-10-30 S. L. Bridle , M. P. Hobson , A. N. Lasenby , Richard Saunders

Decades of work on beam deformation on reflection, and especially on lateral shifts, have spread the idea that a reflected beam is larger than the incident beam. However, when the right conditions are met, a beam reflected by a multilayered…

The Doppler shift is investigated in one-dimensional system with moving source. Theoretical findings are confirmed in numerical simulations of optical and acoustical waves propagation in simple metamaterial model, showing the reversed shift…

Optics · Physics 2015-06-23 David Ziemkiewicz , Sylwia Zielińska-Raczyńska

It has been shown in the past that the real part of the e'/e ratio is particularly sensitive to anomalous gauge couplings that modify the Standard Model Lagrangian. Due to the loose bounds on these couplings coming from low energy processes…

High Energy Physics - Phenomenology · Physics 2009-10-31 Francesco Terranova
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