Bootstrapping Scattering Amplitudes in Effective Field Theories

The modern approach to scattering amplitudes has provided a plethora of techniques that allow us to circumvent Lagrangians and Feynman rules. The bootstrap of amplitudes in quantum field theories allows us to study the landscape of effective field theories. In this dissertation, we apply the amplitudes bootstrap to address a series of questions: 1) We exploit Goldstone soft theorems and supersymmetry to study EFTs that result from spontaneous symmetry-breaking and their supersymmetrizations. 2) Using methods of generalized unitarity, we construct a certain class of all-multiplicity 1-loop amplitudes in Born-Infeld theory. 3) These 1-loop results coupled with an assumption of tree-like factorization allow us to show that electromagnetic duality may be non-anomalous at 1-loop in Born-Infeld theory. 4) We introduce a novel formalism to double-copy scattering amplitudes with massive states along with spectral conditions that ensure that the resulting double-copy is local.PhDPhysicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/168100/1/shrpar_1.pd