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Requiring the existence of a unitary, causal and local UV-completion places a set of positivity bounds on the corresponding effective field theories (EFTs). We discuss the obstructions and possibility in applying the positivity bound to…

High Energy Physics - Theory · Physics 2020-06-30 Gen Ye , Yun-Song Piao

Positivity bounds - the consequences of requiring a unitary, causal, local UV completion - place strong restrictions on theories of dark energy and/or modified gravity. We derive and investigate such bounds for Horndeski scalar-tensor…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-28 Scott Melville , Johannes Noller

A set of conditions that any effective field theory needs to satisfy in order to allow for the existence of a viable UV completion has recently gained attention in the cosmological context under the name of $\textit{positivity bounds}$. In…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-22 Dani de Boe , Gen Ye , Fabrizio Renzi , Inês S. Albuquerque , Noemi Frusciante , Alessandra Silvestri

We derive the first positivity bounds for low-energy Effective Field Theories (EFTs) that are not invariant under Lorentz boosts. "Positivity bounds" are the low-energy manifestation of certain fundamental properties in the UV -- to date…

High Energy Physics - Theory · Physics 2022-07-12 Tanguy Grall , Scott Melville

Studying the effects of dark energy and modified gravity on cosmological scales has led to a great number of physical models being developed. The effective field theory (EFT) of cosmic acceleration allows an efficient exploration of this…

General Relativity and Quantum Cosmology · Physics 2017-11-01 Joe Kennedy , Lucas Lombriser , Andy Taylor

Positivity bounds - constraints on any low-energy effective field theory imposed by the fundamental axioms of unitarity, causality and locality in the UV - have recently been used to constrain scalar-tensor theories of dark energy. However,…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-08 Claudia de Rham , Scott Melville , Johannes Noller

In the context of the effective field theory of dark energy (EFT) we perform agnostic explorations of Horndeski gravity. We choose two parametrizations for the free EFT functions, namely a power law and a dark energy density-like behaviour…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-03 Noemi Frusciante , Simone Peirone , Santiago Casas , Nelson A. Lima

The growing wealth of cosmological observations places increasingly more stringent constraints on dark energy and alternative gravity models. Particularly successful in efficiently probing the vast model space has been the effective field…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-28 Lucas Lombriser , Charles Dalang , Joe Kennedy , Andy Taylor

Scalars are widely used in cosmology to model novel phenomena such as the late-time cosmic acceleration. These are effective field theories with highly nonlinear interactions, including Horndeski theory/generalized galileon and beyond. We…

High Energy Physics - Theory · Physics 2023-11-15 Hao Xu , Shuang-Yong Zhou

We bring together two popular formalisms which generically parameterise deviations from General Relativity on astrophysical and cosmological scales, namely the parameterised post-Newtonian (PPN) formalism and the effective field theory…

General Relativity and Quantum Cosmology · Physics 2021-01-29 Cyril Renevey , Joe Kennedy , Lucas Lombriser

We use effective field theory (EFT) formalism to forecast the constraint on Horndeski class of dark energy models with future supernova and galaxy surveys. Previously (Gleyzes {\it et al.}) computed unmarginalized constraints (68\% CL error…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-08 Jason S. -Y. Leung , Zhiqi Huang

We use the effective field theory of dark energy (EFT of DE) formalism to constrain dark energy models belonging to the Horndeski class with the recent Planck 2015 CMB data. The space of theories is spanned by a certain number of parameters…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-23 Valentina Salvatelli , Federico Piazza , Christian Marinoni

We derive positivity bounds on EFT coefficients in theories where boosts are spontaneously broken. We employ the analytic properties of the retarded Green's function of conserved currents (or of the stress-energy tensor) and assume the…

High Energy Physics - Theory · Physics 2022-10-19 Paolo Creminelli , Oliver Janssen , Leonardo Senatore

Horndeski gravity is a popular contender for a phenomenological model of dynamical dark energy, and as such subject to observational constraints. In this work, we ask whether Horndeski gravity can be more than a phenomenological model and…

General Relativity and Quantum Cosmology · Physics 2023-03-22 Astrid Eichhorn , Rafael R. Lino dos Santos , Fabian Wagner

Recently we have derived a set of mapping relations that enables the reconstruction of the family of Horndeski scalar-tensor theories which reproduce the background dynamics and linear perturbations of a given set of effective field theory…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-12 Joe Kennedy , Lucas Lombriser , Andy Taylor

We derive new effective field theory (EFT) positivity bounds on the elastic $2\to2$ scattering amplitudes of massive spinning particles from the standard UV properties of unitarity, causality, locality and Lorentz invariance. By bounding…

High Energy Physics - Theory · Physics 2022-03-09 Joe Davighi , Scott Melville , Tevong You

Positivity bounds in effective field theories (EFTs) can be extracted through the moment problem approach, utilizing well-established results from the mathematical literature. We generalize this formalism using the matrix moment approach to…

High Energy Physics - Theory · Physics 2024-11-25 Shi-Lin Wan , Shuang-Yong Zhou

In this paper, we explore positivity bounds for the effective field theory~(EFT) of a single weakly coupled massive vector field. The presence of both mass and spin makes the crossing properties of the amplitudes vastly complicated -- we…

High Energy Physics - Theory · Physics 2025-07-16 Francesco Bertucci , Johan Henriksson , Brian McPeak , Sara Ricossa , Francesco Riva , Alessandro Vichi

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…

High Energy Physics - Theory · Physics 2021-06-16 Simon Caron-Huot , Vincent Van Duong

Effective field theories (EFT) are strongly constrained by fundamental principles such as unitarity, locality, causality, and Lorentz invariance. In this paper, we consider the EFT of photons (or other $U(1)$ gauge field) and compare…

High Energy Physics - Theory · Physics 2023-07-12 Mariana Carrillo González , Claudia de Rham , Sumer Jaitly , Victor Pozsgay , Anna Tokareva
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