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Self-interacting massive particles with spin $\geq 1$ unavoidably violate unitarity; the question is at what scale. For spin-$1$ the strong coupling scale (at which perturbative unitarity is lost) cannot be raised by any finite tuning of…

High Energy Physics - Theory · Physics 2020-03-18 Scott Melville , Diederik Roest , David Stefanyszyn

We analyse the high-energy behavior of tree-level graviton Compton amplitudes for particles of mass m and arbitrary spin, concentrating on a combination of forward amplitudes that will be unaffected by eventual cross- couplings to other,…

High Energy Physics - Theory · Physics 2008-11-26 A. Cucchieri , S. Deser , M. Porrati

We consider a procedure for directly constructing general tree-level four-particle scattering amplitudes of massive spinning particles that are consistent with the usual requirements of Lorentz invariance, unitarity, crossing symmetry, and…

High Energy Physics - Theory · Physics 2018-08-10 James Bonifacio , Kurt Hinterbichler

We analyze the tree-level 2->2 scattering of massive spin-2 bosons in a theory with only relevant and marginal operators and extract the sum rules on the coupling constants and masses required to achieve tree-level unitarity to very high…

High Energy Physics - Phenomenology · Physics 2014-07-03 Neil D. Christensen , Stefanus

Curvature squared terms, when added to the Einstein-Hilbert action and treated non-perturbatively, generically result in the propagation of an extra massive scalar state and an extra massive spin-2 ghost state. Using the Stueckelberg trick,…

High Energy Physics - Theory · Physics 2016-04-27 Kurt Hinterbichler , Mehdi Saravani

According to common lore, massive elementary higher spin particles lead to inconsistencies when coupled to gravity. However, this scenario was not completely ruled out by previous arguments. In this paper, we show that in a theory where the…

High Energy Physics - Theory · Physics 2019-05-01 Nima Afkhami-Jeddi , Sandipan Kundu , Amirhossein Tajdini

We constrain theories of a massive spin-2 particle coupled to a massless spin-2 particle by demanding the absence of a time advance in eikonal scattering. This is an $S$-matrix consideration that leads to model-independent constraints on…

High Energy Physics - Theory · Physics 2018-07-17 James Bonifacio , Kurt Hinterbichler , Austin Joyce , Rachel A. Rosen

We consider four-dimensional massive gravity with the Fierz-Pauli mass term. The analysis of the scalar sector has revealed recently that this theory becomes strongly coupled above the energy scale \Lambda = (M_{Pl}^2 m^4)^{1/5} where m is…

High Energy Physics - Theory · Physics 2009-11-10 Aurele Aubert

Lorentz-invariant massive gravity is usually associated with a strong coupling scale $\Lambda_3$. By including non-trivial effects from the Stueckelberg modes, we show that about these vacua, one can push the strong coupling scale to higher…

High Energy Physics - Theory · Physics 2016-05-11 Claudia de Rham , Andrew J. Tolley , Shuang-Yong Zhou

We study two-to-two scattering amplitudes of a scalar particle of mass $m$. For simplicity, we assume the presence of $\mathbb{Z}_2$ symmetry and that the particle is $\mathbb{Z}_2$ odd. We consider two classes of amplitudes: the fully…

High Energy Physics - Theory · Physics 2023-01-04 Hongbin Chen , A. Liam Fitzpatrick , Denis Karateev

In this work, we compute the graviton mediated scattering amplitude of a massive spin-2 Fierz-Pauli field with various other massive spin fields, and in the non-relativistic limit, find out the corresponding two-body gravitational…

High Energy Physics - Theory · Physics 2026-05-13 Avijit Sen Majumder , Sourav Bhattacharya

We discuss the dRGT massive gravity interacting with spin-0, spin-1/2, or spin-1 matter. The effective theory of a massive spin-2 particle coupled to matter particles is constructed directly at the amplitude level. In this setting we…

High Energy Physics - Theory · Physics 2020-04-07 Adam Falkowski , Giulia Isabella

We combine old and new quantum field theoretic arguments to show that any theory of stable or metastable higher spin particles can be coupled to gravity only when the gravity sector has a stringy structure. Metastable higher spin particles,…

High Energy Physics - Theory · Physics 2021-03-17 Jared Kaplan , Sandipan Kundu

Free massive higher spin fields in weak background gravitational fields are discussed. Contrary to the spin one case, higher spin fields should have nontrivial non-minimal couplings to the curvature. A precise analysis is given for the spin…

High Energy Physics - Theory · Physics 2016-07-01 Masafumi Fukuma , Hikaru Kawai , Katsuta Sakai , Junji Yamamoto

We argue that the theory of a massive higher spin field coupled to electromagnetism in flat space possesses an intrinsic, model independent, finite upper bound on its UV cutoff. By employing the Stueckelberg formalism we do a systematic…

High Energy Physics - Theory · Physics 2009-03-24 Massimo Porrati , Rakibur Rahman

We analyze the one-loop effects of massive fields on 2-to-2 scattering processes involving gravitons. It has been suggested that in the presence of gravity, any local effective field theory description must break down at the "species…

High Energy Physics - Theory · Physics 2024-08-27 Simon Caron-Huot , Yue-Zhou Li

Einstein's equations were derived for a free massless spin-$2$ field using universal coupling in the 1950-70s by various authors; total stress-energy including gravity's served as a source for linear free field equations. A massive variant…

General Relativity and Quantum Cosmology · Physics 2016-06-03 J. Brian Pitts

We show that the coupling of a massive spin-2 field to undeformed N=1 supergravity in four dimensions is unique, leading to a specific non-minimal coupling to the Riemann tensor. The massive spin-2 coupling reproduces the one of an…

High Energy Physics - Theory · Physics 2026-03-24 Guillaume Bossard , Gabriele Casagrande , Emilian Dudas , Adrien Loty

We analyze causality and unitarity constraints in graviton scattering amplitudes, aiming to establish new bounds on theories with $U(1)$-gravitational anomalies, such as axion models or strongly-coupled gauge theories. For this purpose, we…

High Energy Physics - Theory · Physics 2025-01-15 Zi-Yu Dong , Teng Ma , Alex Pomarol , Francesco Sciotti

It is well known that a strictly massless spin-$3/2$ particle can interact consistently only within supergravity. Recently, positivity arguments have shown that an effective field theory of a massive Majorana spin-$3/2$ particle admits a…

High Energy Physics - Theory · Physics 2026-05-27 Jay Desai , Diptimoy Ghosh , Saurabh Pant
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