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Positivity bounds are bounds on the Wilson coefficients of an effective field theory. They hold, if the ultraviolet completion satisfies unitarity, microcausality, locality and Lorentz symmetry; accordingly their violation signals a…

High Energy Physics - Theory · Physics 2024-05-16 Astrid Eichhorn , Andreas Odgaard Pedersen , Marc Schiffer

The effective field theory (EFT) of dark energy relies on three functions of time to describe the background dynamics. The viability of these functions is investigated here by means of a thorough dynamical analysis. While the system is…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Noemi Frusciante , Marco Raveri , Alessandra Silvestri

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

The requirements of unitarity and causality lead to significant constraints on the Wilson coefficients of an EFT expansion, known as positivity bounds. Their standard derivation relies on the crucial assumption of polynomial boundedness on…

High Energy Physics - Theory · Physics 2025-02-20 Luca Buoninfante , Long-Qi Shao , Anna Tokareva

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

Physical principles such as unitarity, causality, and locality can constrain the space of consistent effective field theories (EFTs) by imposing two-sided bounds on the allowed values of Wilson coefficients. In this paper, we consider the…

High Energy Physics - Theory · Physics 2023-03-20 Mariana Carrillo Gonzalez , Claudia de Rham , Victor Pozsgay , Andrew J. Tolley

Gravitational wave (GW) constraints have recently been used to significantly restrict models of dark energy and modified gravity. New bounds arising from GW decay and GW-induced dark energy instabilities are particularly powerful in this…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-25 Johannes Noller

We discuss the general method for obtaining full positivity bounds on multi-field effective field theories (EFTs). While the leading order forward positivity bounds are commonly derived from the elastic scattering of two (superposed)…

High Energy Physics - Phenomenology · Physics 2021-09-22 Xu Li , Hao Xu , Chengjie Yang , Cen Zhang , Shuang-Yong Zhou

Positivity bounds on scattering amplitudes provide a necessary condition for a low-energy effective field theory to have a consistent ultraviolet completion. Their extension to gravity theories has been studied in the past years aiming at…

High Energy Physics - Theory · Physics 2023-08-24 Toshifumi Noumi , Sota Sato , Junsei Tokuda

We study the validity of positivity bounds in the presence of a massless graviton, assuming the Regge behavior of the amplitude. Under this assumption, the problematic $t$-channel pole is canceled with the UV integral of the imaginary part…

High Energy Physics - Theory · Physics 2020-12-02 Junsei Tokuda , Katsuki Aoki , Shin'ichi Hirano

We show that the direction of renormalization in effective field theory is constrained by fundamental principles in the infrared$\unicode{x2014}$unitarity, analyticity, and Lorentz invariance. Our theorem, in the spirit of the $a$-theorem…

High Energy Physics - Phenomenology · Physics 2025-05-07 You-Peng Liao , Jasper Roosmale Nepveu , Chia-Hsien Shen

We present a generalization of the effective field theory (EFT) formalism for dark energy and modified gravity models to include operators with higher order spatial derivatives. This allows the extension of the EFT framework to a wider…

General Relativity and Quantum Cosmology · Physics 2016-08-04 Noemi Frusciante , Georgios Papadomanolakis , Alessandra Silvestri

We embed linear and nonlinear parametrisations of beyond standard cosmological physics in the halo model reaction framework, providing a model-independent prescription for the nonlinear matter power spectrum. As an application, we focus on…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-18 B. Bose , M. Tsedrik , J. Kennedy , L. Lombriser , A. Pourtsidou , A. Taylor

The effective field theory (EFT) of dark energy provides a model-independent framework for studying cosmology within scalar-tensor theories. In this work, we explore how the time evolution of the cosmological background, inferred from…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-15 Fumiya Okamatsu , Kazufumi Takahashi

The consistency of the EFT of two interacting spin-2 fields is checked by applying forward limit positivity bounds on the scattering amplitudes to exclude the region of parameter space devoid of a standard UV completion. We focus on two…

High Energy Physics - Theory · Physics 2020-04-22 Lasma Alberte , Claudia de Rham , Arshia Momeni , Justinas Rumbutis , Andrew J. Tolley

Theories such as massive Galileons and massive gravity can satisfy the presently known improved positivity bounds provided they are weakly coupled. We discuss the form of the EFT Lagrangian for a weakly coupled UV completion of massive…

High Energy Physics - Theory · Physics 2018-05-09 Claudia de Rham , Scott Melville , Andrew J. Tolley

The positivity bounds, derived from the axiomatic principles of quantum field theory (QFT), constrain the signs of Wilson coefficients and their linear combinations in the Standard Model Effective Field Theory (SMEFT). The precise…

High Energy Physics - Phenomenology · Physics 2021-02-03 Kimiko Yamashita , Cen Zhang , Shuang-Yong Zhou

The Effective Field Theory of Dark Energy (EFTofDE) provides a systematic and model-independent framework to study dark energy (DE) and modified gravity (MG) with one additional scalar degree of freedom. It can describe the known models…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-18 Chi Zheng , Wei Liu , Zonghao Zhan , Wenjuan Fang

In the absence of a theory of everything, modern physicists need to rely on other predictive tools and turned to Effective Field Theories (EFTs) in a number of fields, including but not limited to statistical mechanics, condensed matter,…

High Energy Physics - Theory · Physics 2023-08-17 Victor Pozsgay

We take an Effective Field Theory (EFT) approach to unifying existing proposals for the origin of cosmic acceleration and its connection to cosmological observations. Building on earlier work where EFT methods were used with observations to…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-24 Jolyon K. Bloomfield , Éanna É. Flanagan , Minjoon Park , Scott Watson