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Connections between weak gravity conjecture (WGC) bounds and scattering positivity have been extensively studied over the past decade. This work further explores these connections by proposing positivity as a potential amplitude criterion…

High Energy Physics - Theory · Physics 2025-05-08 Tran Quang Loc

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 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

We derive new positivity bounds for scattering amplitudes in theories with a massless graviton in the spectrum in four spacetime dimensions, of relevance for the weak gravity conjecture and modified gravity theories. The bounds imply that…

High Energy Physics - Theory · Physics 2019-12-25 Brando Bellazzini , Matthew Lewandowski , Javi Serra

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

An $SO(3,3)$ BF-type gauge theory is formulated on a six-dimensional spacetime of split signature $(3,3)$, interpreted as the pre-electroweak-symmetry-breaking phase. A MacDowell--Mansouri-type symmetry breaking to $SU(2)\times SU(2)$ is…

High Energy Physics - Theory · Physics 2026-03-31 P Samuel Wesley , Tejinder P. Singh , J. M. Isidro

The true nature of gravity is a remarkable open problem in Gravitation. Theoretical and observational motivations open the avenue of alternative theories of gravity. One possibility resorts to nonminimal couplings and non-metricity…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Cláudio Gomes

The Weak Gravity Conjecture (WGC) bounds the mass of a particle by its charge. It is expected that this bound can not be below the ultraviolet cut-off scale of the effective theory. Recently, an extension of the WGC was proposed in the…

High Energy Physics - Theory · Physics 2018-04-04 Dieter Lust , Eran Palti

We study ultraviolet cutoffs associated with the Weak Gravity Conjecture (WGC) and Sublattice Weak Gravity Conjecture (sLWGC). There is a magnetic WGC cutoff at the energy scale $e G_N^{-1/2}$ with an associated sLWGC tower of charged…

High Energy Physics - Theory · Physics 2018-05-23 Ben Heidenreich , Matthew Reece , Tom Rudelius

We explore the prospects for bounding the weak scale using the weak gravity conjecture (WGC), addressing the hierarchy problem by violating the expectations of effective field theory. Building on earlier work by Cheung and Remmen, we…

High Energy Physics - Phenomenology · Physics 2019-10-02 Nathaniel Craig , Isabel Garcia Garcia , Seth Koren

We investigate whether the effective theory for isolated, massive, and weakly interacting spin-$3/2$ particles is compatible with causality and unitarity-i.e., the positivity of scattering amplitudes. We find no solution to positivity…

High Energy Physics - Theory · Physics 2025-07-18 Brando Bellazzini , Alex Pomarol , Marcello Romano , Francesco Sciotti

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

We show that the recently proposed weak gravity conjecture\cite{AMNV0601} can be extended to a class of scalar field theories. Taking gravity into account, we find an upper bound on the gravity interaction strength, expressed in terms of…

High Energy Physics - Theory · Physics 2010-02-03 Miao Li , Wei Song , Yushu Song , Tower Wang

Using the weak field approximation, we can express the theory of general relativity in a Maxwell-type structure comparable to electromagnetism. We find that every electromagnetic field is coupled to a gravitoelectric and gravitomagnetic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Tajmar , C. de Matos

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

The Weak Gravity Conjecture (WGC) was proposed to constrain Effective Field Theories (EFTs) with Abelian gauge symmetry coupled to gravity. In this article, I study the WGC from low energy observers' perspective, and revisit the issue of to…

High Energy Physics - Theory · Physics 2018-10-09 Kazuyuki Furuuchi

This thesis investigates the role of the quantum gravity cut-off for effective field theories (EFTs) coupled to Einstein gravity, with an emphasis on its implications at low energies within the context of the Swampland program. Part I…

High Energy Physics - Theory · Physics 2024-09-17 Alberto Castellano

We study a perturbation theory for embedding gravity equations in a background for which corrections to the embedding function are linear with respect to corrections to the flat metric. The arbitrariness remaining after solving the…

General Relativity and Quantum Cosmology · Physics 2022-12-02 S. S. Kuptsov , M. V. Ioffe , S. N. Manida , S. A. Paston

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

We study loop corrections to positivity bounds on effective field theories in the context of $2\to 2$ scattering in gravitational theories, in the presence of light particles. It has been observed that certain negative contributions at low…

High Energy Physics - Theory · Physics 2024-11-07 Simon Caron-Huot , Junsei Tokuda
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