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We demonstrate and explicate Bayesian methods for fitting the parameters that encode the impact of short-distance physics on observables in effective field theories (EFTs). We use Bayes' theorem together with the principle of maximum…

高能物理 - 唯象学 · 物理学 2009-08-14 Matthias R. Schindler , Daniel R. Phillips

We recently developed a Bayesian framework for parameter estimation in general effective field theories. Here we present selected results from using that framework to estimate parameters with a nucleon-nucleon (NN) potential derived using…

核理论 · 物理学 2019-03-15 S. Wesolowski , R. J. Furnstahl , J. A. Melendez , D. R. Phillips

We recently developed an Effective Field Theory (EFT) for rotational bands in odd-mass nuclei. Here we use EFT expressions to perform a Bayesian analysis of data on the rotational energy levels of $^{99}$Tc, ${}^{155,157}$Gd, ${}^{159}$Dy,…

核理论 · 物理学 2022-03-07 I. K. Alnamlah , E. A. Coello Pérez , D. R. Phillips

The determination of low-energy constants from data is an important component of most effective field theory programs, including that of chiral perturbation theory. We propose a novel method based on Bayesian probability theory which allows…

核理论 · 物理学 2014-11-20 Matthias R. Schindler , Daniel R. Phillips

Effective Field Theory (EFT) is a general framework to parametrize the low-energy approximation to a UV model that is widely used in model-independent searches for new physics. The use of EFTs at the LHC can suffer from a 'validity' issue,…

高能物理 - 唯象学 · 物理学 2026-02-03 Spencer Chang , Markus A. Luty , Teng Ma , Francesco Montagno , Andrea Wulzer

Chiral effective field theory (EFT) predictions are necessarily truncated at some order in the EFT expansion, which induces an error that must be quantified for robust statistical comparisons to experiment. In previous work, a Bayesian…

核理论 · 物理学 2017-08-28 J. A. Melendez , S. Wesolowski , R. J. Furnstahl

Effective field theories (EFT) parameterize the long-distance effects of short-distance dynamics whose details may or may not be known. It is known that EFT coefficients must obey certain positivity constraints if causality and unitarity…

高能物理 - 理论 · 物理学 2021-06-16 Simon Caron-Huot , Vincent Van Duong

Bayesian procedures designed to quantify truncation errors in perturbative calculations of quantum chromodynamics observables are adapted to expansions in effective field theory (EFT). In the Bayesian approach, such truncation errors are…

核理论 · 物理学 2016-05-12 R. J. Furnstahl , N. Klco , D. R. Phillips , S. Wesolowski

Bayesian analyses of the convergence pattern of Effective Field Theories (EFTs) enable estimation of the uncertainty induced by a truncated expansion. When an EFT that has been calibrated to data is used to make a prediction this truncation…

Effective Field Theory (EFT) is an efficient method for parametrizing unknown high energy physics effects on low energy data. When applied to time-dependent backgrounds, EFT must be supplemented with initial conditions. In these…

高能物理 - 理论 · 物理学 2007-05-23 M. Porrati

We present an effective field theory (EFT) approach to extract fundamental cosmological parameters from the Lyman-alpha forest flux fluctuations as an alternative to the standard simulation-based techniques. As a first application, we…

宇宙学与河外天体物理 · 物理学 2025-02-21 Mikhail M. Ivanov , Michael W. Toomey , Naim Göksel Karaçaylı

We perform Bayesian model calibration of two-nucleon ($NN$) low-energy constants (LECs) appearing in an $NN$ interaction based on pionless effective field theory (EFT). The calibration is carried out for potentials constructed using naive…

核理论 · 物理学 2024-08-06 J. M. Bub , M. Piarulli , R. J. Furnstahl , S. Pastore , D. R. Phillips

We discuss the conditions for an effective field theory (EFT) to give an adequate low-energy description of an underlying physics beyond the Standard Model (SM). Starting from the EFT where the SM is extended by dimension-6 operators,…

高能物理 - 唯象学 · 物理学 2016-09-08 Roberto Contino , Adam Falkowski , Florian Goertz , Christophe Grojean , Francesco Riva

We review the effective field theories (EFTs) developed for few-nucleon systems. These EFTs are controlled expansions in momenta, where certain (leading-order) interactions are summed to all orders. At low energies, an EFT with only contact…

核理论 · 物理学 2009-11-07 P. F. Bedaque , U. van Kolck

We use Bayesian methods and Hamiltonian Monte Carlo (HMC) sampling to infer the posterior probability density function (PDF) for the low-energy constants (LECs) up to next-to-next-to-next- to-leading order (N3LO) in a chiral effective field…

核理论 · 物理学 2024-07-29 Isak Svensson , Andreas Ekström , Christian Forssén

Effective Field Theory (EFT) stands as a cornerstone in modern theoretical physics, offering a powerful framework for describing the dynamics of physical systems across a wide range of energy scales. This article provides an in-depth…

高能物理 - 唯象学 · 物理学 2024-05-15 Waqas Riaz

In the framework of the effective field theory (EFT) we discuss the electroweak (EW) corrections at LEP energies. We obtain the effective Lagrangian in the large m_t limit, and reproduce analytically the dominant EW corrections to the LEP2…

高能物理 - 唯象学 · 物理学 2009-10-31 A. A. Akhundov , J. Bernabeu , D. Gomez Dumm , A. Santamaria

We present mathematical and conceptual foundations for the task of robust amplitude estimation using engineered likelihood functions (ELFs), a framework introduced in Wang et al. [PRX Quantum 2, 010346 (2021)] that uses Bayesian inference…

量子物理 · 物理学 2022-05-24 Dax Enshan Koh , Guoming Wang , Peter D. Johnson , Yudong Cao

Chiral effective field theory (chiEFT) provides a systematic approach to describe low-energy nuclear forces. Moreover, chiEFT is able to provide well-founded estimates of statistical and systematic uncertainties -- although this unique…

Effective field theories (EFTs) organize the description of complex systems into an infinite sequence of decreasing importance. Predictions are made with a finite number of terms, which induces a truncation error that is often left…

核理论 · 物理学 2019-10-16 J. A. Melendez , R. J. Furnstahl , D. R. Phillips , M. T. Pratola , S. Wesolowski
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