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The weak gravity conjecture (WGC) asserts that an Abelian gauge theory coupled to gravity is inconsistent unless it contains a particle of charge $q$ and mass $m$ such that $q \geq m/m_{\rm Pl}$. This criterion is obeyed by all known…

High Energy Physics - Theory · Physics 2014-12-23 Clifford Cheung , Grant N. Remmen

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

Extensions of the photon and graviton soft theorems are derived in 4d local effective field theories with massless particles of arbitrary spin. We prove that effective operators can result in new terms in the soft theorems at subleading…

High Energy Physics - Theory · Physics 2017-06-14 Henriette Elvang , Callum R. T. Jones , Stephen G. Naculich

The effective field theory (EFT) concept provides a necessary tool for obtaining general predictions of low-energy theory valid below its unitarity-breaking scale (cutoff scale). Early Universe inflation and subsequent reheating could be a…

High Energy Physics - Theory · Physics 2026-01-21 Jiaxin Cheng , Anna Tokareva

We analyze constraints from perturbative unitarity and crossing on the leading contributions of higher-dimension operators to the four-graviton amplitude in four spacetime dimensions, including constraints that follow from distinct helicity…

High Energy Physics - Theory · Physics 2022-05-03 Zvi Bern , Dimitrios Kosmopoulos , Alexander Zhiboedov

We use a recently derived integral representation of the one-loop effective action in Einstein-Maxwell theory for an explicit calculation of the part of the effective action containing the information on the low energy limit of the…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Jose Manuel Davila , Christian Schubert

We report on the status of an ongoing effort to calculate the complete one-loop low-energy effective actions in Einstein-Maxwell theory with a massive scalar or spinor loop, and to use them for obtaining the explicit form of the…

High Energy Physics - Theory · Physics 2015-06-04 F. Bastianelli , O. Corradini , J. M. Davila , C. Schubert

We investigate the one-loop renormalization group evolution in four dimensions of the leading operators in the effective field theories of shift-symmetric scalars, photons, and gravitons. We show that certain non-minimal three-point…

High Energy Physics - Theory · Physics 2026-04-13 J. Fernandez , M. Ruhdorfer , J. Serra

We introduce infrared finite, analytic, crossing symmetric, Regge behaved, and Lorentz invariant amplitudes $\mathcal{M}_{\mathcal {E}}$, labeled by the experimental energy resolution $\mathcal{E}$ for detecting soft photons and gravitons.…

High Energy Physics - Theory · Physics 2026-04-20 B. Bellazzini , J. Berman , G. Isabella , F. Riva , M. Romano , F. Sciotti

In this paper we consider photon-photon scattering due to self-induced gravitational perturbations on a Minkowski background. We focus on four-wave interaction between plane waves with weakly space and time dependent amplitudes, since…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Brodin , D. Eriksson , M. Marklund

We study the low-energy effective theories of photons and gravitons, matching them at one loop to a UV completion with a massive spinning matter particle. The matter is allowed to have non-minimal electromagnetic and gravitational…

High Energy Physics - Theory · Physics 2024-08-08 Edoardo Alviani , Adam Falkowski

We derive the conformal constraints satisfied by classical vertices of a (Einstein) Gauss-Bonnet theory around flat space, in general dimensions and at $d=4$ (4d EGB). In $4d$ EGB they are obtained by a singular limit of the integral of the…

High Energy Physics - Theory · Physics 2023-02-07 Claudio Corianò , Mario Cretì , Stefano Lionetti , Matteo Maria Maglio

We study the motion of charged and spinning particles and photons in the $4D$ charged Einstein-Gauss-Bonnet (EGB) black hole vicinity. We determine the radius of the innermost stable circular orbit (ISCO) for test particles. We show that…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Farruh Atamurotov , Sanjar Shaymatov , Pankaj Sheoran , Sanjay Siwach

Understanding the implication of positivity bounds on loop-generated dim-8 operator coefficients is a nontrivial task, as these bounds only strictly hold when all the contributions are included in the dispersion relation up to a certain…

High Energy Physics - Phenomenology · Physics 2025-10-14 Yunxiao Ye , Xiao Cao , Yu-Hang Wu , Jiayin Gu

Theories of scalars and gravity, with non-minimal interactions, $\sim (M_P^2 +F(\phi) )R +L(\phi)$, have graviton exchange induced contact terms. These terms arise in single particle reducible diagrams with vertices $\propto q^2$ that…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Christopher T. Hill , Graham G. Ross

The black hole weak gravity conjecture (WGC) is a set of linear inequalities on the four-derivative corrections to Einstein--Maxwell theory. Remarkably, in four dimensions, these combinations appear in the $2 \to 2$ photon amplitudes,…

High Energy Physics - Theory · Physics 2022-09-07 Johan Henriksson , Brian McPeak , Francesco Russo , Alessandro Vichi

In this paper, we have investigated the dynamics of magnetized particles around 4-D Einstein-Gauss-Bonnet black hole immersed in an external asymptotically uniform magnetic field. We have shown that the magnetic interaction parameter…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Javlon Rayimbaev , Ahmadjon Abdujabbarov , Bobur Turimov , Farruh Atamurotov

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

Heat kernel methods are useful for studying properties of quantum gravity. We recompute here the first three heat kernel coefficients in perturbative quantum gravity with cosmological constant to ascertain which ones are correctly reported…

High Energy Physics - Theory · Physics 2023-01-04 Fiorenzo Bastianelli , Roberto Bonezzi , Marco Melis

We present an Effective Field Theory (EFT) formalism which describes the dynamics of non-relativistic extended objects coupled to gravity. The formalism is relevant to understanding the gravitational radiation power spectra emitted by…

High Energy Physics - Theory · Physics 2013-05-29 Walter D. Goldberger , Ira Z. Rothstein
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