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Related papers: Bootstrap Equations for String-Like Amplitude

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We review the recently developed bootstrap method for the computation of high-multiplicity QCD amplitudes at one loop. We illustrate the general algorithm step by step with a six-point example. The method combines (generalized) unitarity…

High Energy Physics - Phenomenology · Physics 2008-11-26 Carola F. Berger

The process comparing the empirical cumulative distribution function of the sample with a parametric estimate of the cumulative distribution function is known as the empirical process with estimated parameters and has been extensively…

Methodology · Statistics 2012-10-08 Ivan Kojadinovic , Jun Yan

Effective field theories (EFT) are commonly used to parameterize effects of BSM physics in vector boson scattering (VBS). For Wilson coefficients which are large enough to produce presently observable effects, the validity range of the EFT…

High Energy Physics - Phenomenology · Physics 2021-08-18 Jannis Lang , Stefan Liebler , Heiko Schäfer-Siebert , Dieter Zeppenfeld

We present a new approach to bootstrapping string-like theories by exploiting a local crossing symmetric dispersion relation and field redefinition ambiguities. This approach enables us to use mass-level truncation and to go beyond the dual…

High Energy Physics - Theory · Physics 2024-12-09 Faizan Bhat , Debapriyo Chowdhury , Arnab Priya Saha , Aninda Sinha

Integrable Quantum Field Theories can be solved exactly using bootstrap techniques based on their elastic and factorisable S-matrix. While knowledge of the scattering amplitudes reveals the exact spectrum of particles and their on-shell…

Statistical Mechanics · Physics 2023-03-30 M. Lencsés , G. Mussardo , G. Takács

Bootstrap techniques (also called resampling computation techniques) have introduced new advances in modeling and model evaluation. Using resampling methods to construct a series of new samples which are based on the original data set,…

Statistics Theory · Mathematics 2007-06-13 Riadh Kallel , Marie Cottrell , Vincent Vigneron

In this paper we discuss in detail a numerical method to study resonances in membranes generated by domain walls in Randall-Sundrum-like scenarios. It is based on similar works to understand the quantum mechanics of electrons subject to the…

High Energy Physics - Theory · Physics 2015-05-28 R. R. Landim , G. Alencar , M. O. Tahim , R. N. Costa Filho

The soft bootstrap program aims to construct consistent effective field theories (EFT's) by recursively imposing the desired soft limit on tree-level scattering amplitudes through on-shell recursion relations. A prime example is the leading…

High Energy Physics - Theory · Physics 2021-01-28 Ian Low , Zhewei Yin

We describe a set of methods to calculate gauge theory renormalization constants from string theory, all based on a consistent prescription to continue off shell open bosonic string amplitudes. We prove the consistency of our prescription…

High Energy Physics - Theory · Physics 2015-06-26 P. Di Vecchia , A. Lerda , L. Magnea , R. Marotta , R. Russo

We consider an effective field theory of unstable particles (resonances) using the complex-mass renormalization. As an application we calculate the masses and the widths of the $\rho$ meson and the Roper resonance.

High Energy Physics - Phenomenology · Physics 2014-11-20 D. Djukanovic , J. Gegelia , A. Keller , S. Scherer

We study constraints from higher-point amplitudes on $2 \to 2$ scattering in the context of effective field theory (EFT) using the perturbative numerical S-matrix bootstrap. Specifically, we investigate the class of weakly coupled EFTs with…

High Energy Physics - Theory · Physics 2025-07-01 Justin Berman , Henriette Elvang , Carolina Figueiredo

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,…

High Energy Physics - Phenomenology · Physics 2026-02-03 Spencer Chang , Markus A. Luty , Teng Ma , Francesco Montagno , Andrea Wulzer

We introduce a bootstrap procedure to test the hypothesis $H_o$ that $K+1$ variances are homogeneous. The procedure uses a variance-based statistic, and is derived from a normal-theory test for equality of variances. The test equivalently…

Methodology · Statistics 2018-06-08 Dexter Cahoy

A fast full-wave simulation technique is presented for the analysis of large irregular planar arrays of identical 3-D metallic antennas. The solution method relies on the Macro Basis Functions (MBF) approach and an interpolatory technique…

Instrumentation and Methods for Astrophysics · Physics 2018-05-09 Ha Bui-Van , Jens Abraham , Michel Arts , Quentin Gueuning , Christopher Raucy , David Gonzalez-Ovejero , Eloy de Lera Acedo , Christophe Craeye

We present the official release of the EFfective Field theORy surrogaTe (Effort), a novel and efficient emulator designed for the Effective Field Theory of Large-Scale Structure (EFTofLSS). This tool combines state-of-the-art numerical…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-09 Marco Bonici , Guido D'Amico , Julien Bel , Carmelita Carbone

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…

Nuclear Theory · Physics 2019-10-16 J. A. Melendez , R. J. Furnstahl , D. R. Phillips , M. T. Pratola , S. Wesolowski

\textbf{Purpose:} Amplitude analysis is a pivotal tool in hadron spectroscopy, fundamentally involving a series of likelihood fits to multi-dimensional experimental distributions. While robust goodness-of-fit tests exist for low-dimensional…

Data Analysis, Statistics and Probability · Physics 2025-12-02 Huoyi Hou , Beijiang Liu

We propose a new approach towards analytically solving for the dynamical content of Conformal Field Theories (CFTs) using the bootstrap philosophy. This combines the original bootstrap idea of Polyakov with the modern technology of the…

High Energy Physics - Theory · Physics 2017-03-01 Rajesh Gopakumar , Apratim Kaviraj , Kallol Sen , Aninda Sinha

We compute meson scattering amplitudes using the holographic duality between confining gauge theories and string theory, in order to consider holographic corrections to the Veneziano amplitude and associated higher-point functions. The…

High Energy Physics - Theory · Physics 2017-04-26 Adi Armoni , Edwin Ireson

These lectures aim to provide a pedagogical introduction to the philosophical underpinnings and technical features of Effective Field Theory (EFT). Improving control of $S$-matrix elements in the presence of a large hierarchy of physical…

High Energy Physics - Phenomenology · Physics 2020-08-31 Timothy Cohen
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