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We provide a simple new argument for a lower bound on the coupling of a $U(1)$ gauge interaction in an effective field theory (EFT), originally obtained from the Weak Gravity Conjecture. Our argument employs basic principles of quantum…

High Energy Physics - Phenomenology · Physics 2022-07-13 Hooman Davoudiasl

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

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

The consistency of the EFT of two interacting spin-2 fields is checked by applying forward limit positivity bounds on the scattering amplitudes to exclude the region of parameter space devoid of a standard UV completion. We focus on two…

High Energy Physics - Theory · Physics 2020-04-22 Lasma Alberte , Claudia de Rham , Arshia Momeni , Justinas Rumbutis , Andrew J. Tolley

We discuss the conditions for an effective field theory (EFT) to give an adequate low-energy description of an underlying physics beyond the Standard Model (SM). Starting from the EFT where the SM is extended by dimension-6 operators,…

High Energy Physics - Phenomenology · Physics 2016-09-08 Roberto Contino , Adam Falkowski , Florian Goertz , Christophe Grojean , Francesco Riva

Sum rules in effective field theories, predicated upon causality, place restrictions on scattering amplitudes mediated by effective contact interactions. Through unitarity of the $S$-matrix, these imply that the size of higher dimensional…

High Energy Physics - Phenomenology · Physics 2021-10-05 Timothy Trott

We study constraints on the effective field theory (EFT) from the relative entropy between two theories: we refer to these as target and reference theories. The consequence of the non-negativity of the relative entropy is investigated by…

High Energy Physics - Theory · Physics 2023-08-02 Qing-Hong Cao , Naoto Kan , Daiki Ueda

We propose quantum gravitational constraints on effective four-dimensional theories with N=1 supersymmetry. These Swampland constraints arise by demanding consistency of the worldsheet theory of a class of axionic, or EFT, strings whose…

High Energy Physics - Theory · Physics 2023-05-02 Luca Martucci , Nicolo Risso , Timo Weigand

Effective Field Theory (EFT) provides a powerful framework to exploit a separation of scales in order to perform systematically improvable, model-independent calculations. We apply this method to strongly interacting quantum systems with…

Nuclear Theory · Physics 2009-06-25 H. -W. Hammer

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 study the validity of positivity bounds in the presence of a massless graviton, assuming the Regge behavior of the amplitude. Under this assumption, the problematic $t$-channel pole is canceled with the UV integral of the imaginary part…

High Energy Physics - Theory · Physics 2020-12-02 Junsei Tokuda , Katsuki Aoki , Shin'ichi Hirano

We study the impact of full unitarity on the moment structure of forward scattering amplitudes. We introduce the semiarcs, calculable quantities in the EFT dispersively related to both real and imaginary parts of the UV amplitude for a…

High Energy Physics - Theory · Physics 2023-01-02 Marc Riembau

We derive the scale of unitarity violation from the geometry of Effective Field Theory (EFT) extensions of the Standard Model Higgs sector. The high-energy behavior of amplitudes with more than four scalar legs depends on derivatives of…

High Energy Physics - Phenomenology · Physics 2021-12-22 Timothy Cohen , Nathaniel Craig , Xiaochuan Lu , Dave Sutherland

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

Effective Field Theory (EFT) is a general framework to parametrize the low-energy approximation to a UV model that is widely used in model-independent searches for new physics. The use of EFTs at the LHC can suffer from a 'validity' issue,…

High Energy Physics - Phenomenology · Physics 2026-02-03 Spencer Chang , Markus A. Luty , Teng Ma , Francesco Montagno , Andrea Wulzer

We examine universal positivity constraints on $2 \to 2$ scattering in 4d planar $N=4$ supersymmetric Yang-Mills theory with higher-derivative corrections. We present numerical evidence that the convex region of allowed Wilson coefficients…

High Energy Physics - Theory · Physics 2023-10-18 Justin Berman , Henriette Elvang , Aidan Herderschee

We study positivity bounds in the presence of gravity. We first review the gravitational positivity bound at the tree-level, where it is known that a certain amount of negativity is allowed for the coefficients of higher-derivative…

High Energy Physics - Theory · Physics 2023-05-12 Yuta Hamada , Rinto Kuramochi , Gregory J. Loges , Sota Nakajima

We present a new on-shell method for the matching of ultraviolet models featuring massive states onto their massless effective field theory. We employ a dispersion relation in the space of complex momentum dilations to capture, in a single…

High Energy Physics - Phenomenology · Physics 2025-04-02 Stefano De Angelis , Gauthier Durieux

Effective Field Theories (EFTs) for Goldstone Boson scattering at a low order allow the computation of near--threshold observables in terms of a few coefficients arranged by a counting. As a matter of principle they should make sense up to…

High Energy Physics - Phenomenology · Physics 2020-12-07 Juan Escudero-Pedrosa , Felipe J. Llanes-Estrada , José Antonio Oller , Alexandre Salas-Bernárdez

We discuss the general method for obtaining full positivity bounds on multi-field effective field theories (EFTs). While the leading order forward positivity bounds are commonly derived from the elastic scattering of two (superposed)…

High Energy Physics - Phenomenology · Physics 2021-09-22 Xu Li , Hao Xu , Chengjie Yang , Cen Zhang , Shuang-Yong Zhou