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Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with…

Nuclear Theory · Physics 2009-11-11 H. -W. Hammer

We develop interactions from chiral effective field theory (EFT) that are tailored to the harmonic oscillator basis. As a consequence, ultraviolet convergence with respect to the model space is implemented by construction and infrared…

Nuclear Theory · Physics 2016-05-02 S. Binder , A. Ekström , G. Hagen , T. Papenbrock , K. A. Wendt

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

Nuclear effective field theories (EFTs) have been developed over the last quarter-century with considerable impact on the description of light and even medium-mass nuclei. At the core of any EFT is a systematic expansion of observables,…

Nuclear Theory · Physics 2020-04-22 U. van Kolck

The presence of a massless spin-2 field in an effective field theory results in a $t$-channel pole in the scattering amplitudes that precludes the application of standard positivity bounds. Despite this, recent arguments based on…

High Energy Physics - Theory · Physics 2021-01-04 Lasma Alberte , Claudia de Rham , Sumer Jaitly , Andrew J. Tolley

The EFT coefficients in any gapped, scalar, Lorentz invariant field theory must satisfy positivity requirements if there is to exist a local, analytic Wilsonian UV completion. We apply these bounds to the tree level scattering amplitudes…

High Energy Physics - Theory · Physics 2017-10-25 Claudia de Rham , Scott Melville , Andrew J. Tolley , Shuang-Yong Zhou

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

Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with…

Nuclear Theory · Physics 2009-11-11 H. -W. Hammer

In this note we discuss the relation between the constraints imposed by causality in the bulk of $AdS$ and the condition of positivity of the energy measured in ideal calorimeters in a collider experiment in the dual CFT. We first extend…

High Energy Physics - Theory · Physics 2009-10-02 Diego M. Hofman

Weak gravity conjecture can be formulated as a statement that gravity must be the weakest force, compared to the other interactions in low energy effective field theory (EFT). Several arguments in favor of this statement were presented from…

High Energy Physics - Theory · Physics 2025-07-25 Anna Tokareva , Yongjun Xu

We derive positivity bounds on low energy effective field theories which admit gapped, analytic, unitary, Lorentz invariant, and possibly non-local UV completions, by considering 2 to 2 scatterings of Jaffe fields whose…

High Energy Physics - Theory · Physics 2019-06-14 Junsei Tokuda

We re-examine the constraints imposed by causality and unitarity on the low-energy effective field theory expansion of four-particle scattering amplitudes, exposing a hidden "totally positive" structure strikingly similar to the positive…

High Energy Physics - Theory · Physics 2023-01-11 Nima Arkani-Hamed , Tzu-Chen Huang , Yu-tin Huang

We argue that all consistent 4D quantum field theories obey a spacetime-averaged weak energy inequality $\langle T^{00} \rangle \ge -C/L^4$, where $L$ is the size of the smearing region, and $C$ is a positive constant that depends on the…

High Energy Physics - Theory · Physics 2016-11-03 Kara Farnsworth , Markus A. Luty , Valentina Prilepina

Throughout this thesis, we investigate how effective field theories, combined with unitarization techniques, can be used to explore physics beyond the Standard Model, with particular emphasis on the dynamical origin of electroweak symmetry…

High Energy Physics - Phenomenology · Physics 2025-11-18 I. Asiáin

We show that the tree-level spectrum of heavy particles can be directly extracted from the Wilson coefficients of the corresponding effective field theory at low energies. This procedure is exact when the number of resonances is finite, and…

High Energy Physics - Theory · Physics 2026-04-20 Francesco Calisto , Clifford Cheung , Grant N. Remmen , Francesco Sciotti , Michele Tarquini

In this work manifestations of physics beyond the Standard Model are parameterized with higher-dimension operators and Wilson coefficients using effective field theory. In order to set more stringent experimental limits on the Wilson…

High Energy Physics - Phenomenology · Physics 2024-05-07 Artur E. Semushin , Evgeny Yu. Soldatov

In this paper we study both projective and non-projective constraints on four-dimensional gravitational effective fields theories implied from unitarity, causality and crossing, assuming perturbative UV completions in $M_{\rm pl}$. We…

High Energy Physics - Theory · Physics 2023-03-16 Li-Yuan Chiang , Yu-tin Huang , Wei Li , Laurentiu Rodina , He-Chen Weng

We explore the impact of loop effects on positivity in effective field theories emerging in the infrared from unitary and causal microscopic dynamics. Focusing on massless particles coupled to gravity, we address the treatment of…

High Energy Physics - Theory · Physics 2025-06-24 Carl Beadle , Giulia Isabella , Davide Perrone , Sara Ricossa , Francesco Riva , Francesco Serra

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…

High Energy Physics - Phenomenology · Physics 2024-05-15 Waqas Riaz

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
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