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We derive new constraints on massive gravity from unitarity and analyticity of scattering amplitudes. Our results apply to a general effective theory defined by Einstein gravity plus the leading soft diffeomorphism-breaking corrections. We…

High Energy Physics - Theory · Physics 2016-04-05 Clifford Cheung , Grant N. Remmen

The quantum effective theory of general relativity, independent of the eventual full theory at high energy, expresses graviton-graviton scattering at one loop order O(E^4) with only one parameter, Newton's constant. Dunbar and Norridge have…

High Energy Physics - Theory · Physics 2009-10-31 J. F. Donoghue , T. Torma

Gravitational waves (GWs) are direct probes of cosmological gravity, sensitive to space-time inhomogeneities along their propagation. The presence of massive objects breaks homogeneity and isotropy, allowing for new interactions between…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Nicola Menadeo , Serena Giardino , Miguel Zumalacárregui

Pion-loop corrections for Compton scattering are calculated in a novel approach based on the use of dispersion relations in a formalism obeying unitarity. The basic framework is presented, including an application to Compton scattering. In…

Nuclear Theory · Physics 2009-11-06 S. Kondratyuk , O. Scholten

In the era of gravitational wave (GW) detection from astrophysical sources by LIGO/VIRGO, it is of great importance to take the quantum gravity effect of graviton-photon (GRAPH) mixing in the cosmic magnetic field to the next level. In this…

General Relativity and Quantum Cosmology · Physics 2019-02-15 Damian Ejlli , Venugopal R. Thandlam

We find the complete set of conditions satisfied by the forward $2\to2$ scattering amplitude in unitarity and causal theories. These are based on an infinite set of energy dependent quantities -- the arcs -- which are dispersively expressed…

High Energy Physics - Theory · Physics 2021-10-12 Brando Bellazzini , Joan Elias Miró , Riccardo Rattazzi , Marc Riembau , Francesco Riva

We compute the graviton one-loop correction to the expectation value of the local expansion rate in slow-roll inflation, with both slow-roll parameters finite. The calculation is based on a recent method to explicitly construct…

General Relativity and Quantum Cosmology · Physics 2021-06-04 William C. C. Lima

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

Using the Schwinger-Keldysh "in-in" effective field theory (EFT) framework, we complete the knowledge of nonlinear gravitational radiation-reaction effects in the (relative) dynamics of binary systems at fifth Post-Newtonian (5PN) order.…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Rafael A. Porto , Massimiliano M. Riva , Zixin Yang

We apply positivity bounds directly to a $U(1)$ gauge theory with charged scalars and charged fermions, i.e. QED, minimally coupled to gravity. Assuming that the massless $t$-channel pole may be discarded, we show that the improved…

High Energy Physics - Theory · Physics 2021-06-30 Lasma Alberte , Claudia de Rham , Sumer Jaitly , Andrew J. Tolley

The Weak Gravity Conjecture (WGC) is a proposed constraint on theories with gauge fields and gravity, requiring the existence of light charged particles and/or imposing an upper bound on the field theory cutoff $\Lambda$. If taken as a…

High Energy Physics - Theory · Physics 2017-01-25 Prashant Saraswat

This paper presents the fascinating correspondence between the geometric function theory and the scattering amplitudes with $O(N)$ global symmetry. A crucial ingredient to show such correspondence is a fully crossing symmetric dispersion…

High Energy Physics - Theory · Physics 2021-12-13 Ahmadullah Zahed

Effective Field Theory techniques are used to study the leading order quantum corrections to the gravitational wave backreaction. The effective stress-energy tensor is calculated and it is shown that it has a non-vanishing trace that…

General Relativity and Quantum Cosmology · Physics 2018-01-03 Iberê Kuntz

We present a consistent mapping between tidal deformability coefficients (tidal Love numbers) and Wilson coefficients in effective field theory (EFT) descriptions of higher-curvature theories of gravity. In this work, we focus on the…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Luohan Wang , Luis Lehner , Maitá Micol , Riccardo Sturani

As is well known, there exist some Lorentz breaking scenarios which explain the smallness of the cosmological constant in the present era. An important aspect to analyze is the propagation of gravitational waves and the screening or…

General Relativity and Quantum Cosmology · Physics 2017-11-01 O. Santillan , M. Scornavacche

It was recently proposed that the effects usually attributed to particle dark matter on galaxy scales are due to the displacement of dark energy by baryonic matter, a paradigm known as emergent gravity. This formalism leads to predictions…

Astrophysics of Galaxies · Physics 2017-03-22 Aurelien Hees , Benoit Famaey , Gianfranco Bertone

Using soft-graviton theorems a well-known zero-frequency limit (ZFL) for the gravitational radiation flux $dE^{GW}/d \omega$ is re-derived and extended to order ${{\cal O}}(\omega)$ and ${{\cal O}}(\omega^2)$ for arbitrary massless…

High Energy Physics - Theory · Physics 2019-06-05 Andrea Addazi , Massimo Bianchi , Gabriele Veneziano

The asymptotic behavior of the scattering amplitude for two scalar particles at high energies with fixed momentum transfers is studied. The study is done within the effective theory of quantum gravity based on quasi-potential equation. By…

High Energy Physics - Theory · Physics 2019-10-23 Nguyen Suan Han , Do Thu Ha , Nguyen Nhu Xuan

We evaluate the one-graviton loop contribution to the vacuum polarization on de Sitter background in a 1-parameter family of exact, de Sitter invariant gauges. Our result is computed using dimensional regularization and fully renormalized…

General Relativity and Quantum Cosmology · Physics 2015-09-17 D. Glavan , S. P. Miao , Tomislav Prokopec , R. P. Woodard

Effective Field Theory (EFT) extensions of the Standard Model are tools to compute observables $\big(e.g.$ cross sections with partonic center-of-mass energy $\sqrt{\hat{s}}\,\big)$ as a systematically improvable expansion suppressed by a…

High Energy Physics - Phenomenology · Physics 2022-06-07 Timothy Cohen , Joel Doss , Xiaochuan Lu