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Related papers: Reverse Bootstrapping: IR lessons for UV physics

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In this paper, we promote the convex cone method of positive bounds from tree level to loop level. This method is general and can be applied to obtain leading $s^2$ positivity bounds on the forward scattering process in the standard model…

High Energy Physics - Phenomenology · Physics 2023-06-14 Xu Li

Several extensions to the Standard Model of particle physics, including light dark matter candidates and unification theories, predict deviations from Newton's law of gravitation. For macroscopic distances, the inverse-square law of…

We explore how matrix bootstrap techniques can be used to constrain matrix and tensor models at finite $N$, where $N$ is the dimension of the matrix/tensor, taking a Gaussian model with a quartic interaction as example. For matrix models,…

High Energy Physics - Theory · Physics 2026-05-04 Samuel Laliberte , Reiko Toriumi

We study graviton scattering in the presence of higher dimensional operators - particularly, R^4 - arising from loop effects. We find that the results do not correspond to any known terms in the effective action of Matrix Theory, thus…

High Energy Physics - Theory · Physics 2009-10-30 Esko Keski-Vakkuri , Per Kraus

This talk gives a short introduction to the ``UV/EFT correspondence", which uses scattering amplitudes to relate the Effective Field Theory (EFT) coefficients probed by low-energy measurements to properties of the underlying high-energy…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Scott Melville

Restrictions imposed by gauge invariance in noncommutative spaces together with the effects of ultraviolet/infrared mixing lead to strong constraints on possible candidates for a noncommutative extension of the Standard Model. We study a…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. A. Abel , J. Jaeckel , V. V. Khoze , A. Ringwald

We derive rigorous bounds on corrections to Einstein gravity using unitarity and analyticity of graviton scattering amplitudes. In $D\geq 4$ spacetime dimensions, these consistency conditions mandate positive coefficients for certain…

High Energy Physics - Theory · Physics 2016-04-06 Brando Bellazzini , Clifford Cheung , Grant N. Remmen

Recently, an increasing interest in UV/IR mixing phenomena has drawn attention to the range of validity of standard quantum field theory. Here we explore the consequences of such a limited range of validity in the context of radiative…

High Energy Physics - Phenomenology · Physics 2023-06-28 Patrick Adolf , Martin Hirsch , Heinrich Päs

We present a solution method for the inverse scattering problem for integrable two-dimensional relativistic quantum field theories, specified in terms of a given massive single particle spectrum and a factorizing S-matrix. An arbitrary…

Mathematical Physics · Physics 2016-08-09 Sabina Alazzawi , Gandalf Lechner

Gravitational scattering in the ADD-model is considered at both sub- and transplanckian energies using a common formalism. By keeping a physical cut-off in the KK tower associated with virtual KK exchange, such as the cut-off implied from a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Malin Sjodahl , Gosta Gustafson

The renormalisation of NN scattering in theories with zero-range interactions is examined using a cut-off regularisation and taking the cut-off to infinity. Inclusion of contact interactions that depend on energy as well as momentum allows…

High Energy Physics - Phenomenology · Physics 2007-05-23 Keith G. Richardson , Michael C. Birse , Judith A. McGovern

We initiate the S-matrix bootstrap analysis of theories with non-invertible symmetries in (1+1) dimensions. Our previous work showed that crossing symmetry of S-matrices in such theories is modified, with modification characterized by the…

High Energy Physics - Theory · Physics 2024-11-04 Christian Copetti , Lucia Cordova , Shota Komatsu

In this work, we study the analytic properties of S-matrix for unstable particles, which is defined as the residues on the unphysical sheets where unstable poles reside. We demonstrate that anomalous thresholds associated with UV physics…

High Energy Physics - Theory · Physics 2024-07-25 Katsuki Aoki , Yu-tin Huang

In this note we study an interesting effect of low energy gravity on photon-photon scattering at high energies.

High Energy Physics - Phenomenology · Physics 2009-10-31 S. R. Choudhury , A. Cornell , G. C. Joshi

Neutrino oscillations are examined under the broad requirements of Poincar\'e-invariant scattering theory in an S-matrix formulation. This approach can be consistently applied to theories with either field or particle degrees of freedom.…

High Energy Physics - Phenomenology · Physics 2010-04-20 B. D. Keister , W. N. Polyzou

Relativistic causality constrains the $S$-matrix both through its analyticity, and by imposing lower bounds on the scattering time delay. These bounds are easiest to determine for spacetimes which admit either a timelike or null Killing…

High Energy Physics - Theory · Physics 2024-01-29 Calvin Y. -R. Chen , Claudia de Rham , Aoibheann Margalit , Andrew J. Tolley

We compute the effect of scattering gravitational radiation off the static background curvature, up to second order in Newton constant, known in literature as tail and tail-of-tail processes, for generic electric and magnetic multipoles.…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Gabriel Luz Almeida , Stefano Foffa , Riccardo Sturani

We continue the program [1] of carving out the space of large $N$ confining gauge theories by modern S-matrix bootstrap methods, with the ultimate goal of cornering large $N$ QCD. In this paper, we focus on the effective field theory of…

High Energy Physics - Theory · Physics 2023-07-06 Jan Albert , Leonardo Rastelli

SMEFT Wilson coefficients are subject to various positivity bounds in order to be consistent with the fundamental principles of S-matrix. Previous bounds on dimension-8 SMEFT operators have been obtained using the positivity part of UV…

High Energy Physics - Phenomenology · Physics 2024-03-12 Qing Chen , Ken Mimasu , Tong Arthur Wu , Guo-Dong Zhang , Shuang-Yong Zhou

Astonishing cancellations take place in the calculation of high-energy scattering cross sections in quantum quadratic gravity, a quantum field theory for gravity. Tree-level differential cross sections that are minimally inclusive behave as…

High Energy Physics - Theory · Physics 2022-02-16 Bob Holdom