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Abstract
We use the amplitude soft bootstrap method to explore the space of effective field theories (EFT) of massless vectors and scalars. It is known that demanding vanishing soft limits fixes uniquely a special class of EFTs: non-linear sigma model, scalar Galileon and Born-Infeld theories. Based on the amplitudes analysis, we conjecture no-go theorems for higher-derivative vector theories and theories with coupled vectors and scalars. We then allow for more general soft theorems where the non-trivial part of the soft limit of the (n+1)-pt amplitude is equal to a linear combination of n-pt amplitudes. We derive the form of these soft theorems for general power-counting and spins of particles and use it as an input into the soft bootstrap method in the case of Galileon power-counting and coupled scalar-vector theories. We show that this unifies the description of existing Galileon theories and leads us to the discovery of a new exceptional theory: Special scalar-vector Galileon.
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Details
1 Charles University, Institute of Particle and Nuclear Physics, Prague 8, Czech Republic (GRID:grid.4491.8) (ISNI:0000 0004 1937 116X)
2 Charles University, Institute of Particle and Nuclear Physics, Prague 8, Czech Republic (GRID:grid.4491.8) (ISNI:0000 0004 1937 116X); University of California, Center for Quantum Mathematics and Physics (QMAP), Department of Physics, Davis, USA (GRID:grid.27860.3b) (ISNI:0000 0004 1936 9684)