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Constraints on a Gravitational Higgs Mechanism
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We show that it is impossible to improve the high-energy behavior of the tree-level four-point amplitude of a massive spin-2 particle by including the exchange of any number of scalars and vectors in four spacetime dimensions. This constrains possible weakly coupled ultraviolet extensions of massive gravity, ruling out gravitational analogues of the Higgs mechanism based on particles with spins less than two. Any tree-level ultraviolet extension that is Lorentz invariant and unitary must involve additional massive particles with spins greater than or equal to two, as in Kaluza-Klein theories and string theory.
Forward citations
Cited by 3 Pith papers
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A Partially Massless Superconductor
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Massive Gravity @ 15
A status review arguing that ghost-free massive gravity remains a theoretically consistent and phenomenologically viable infrared modification of General Relativity, with open UV questions.
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