Meromorphic amplitudes are
the simplest non-trivial scattering amplitudes. They describe the
exchange of infinitely many higher spin resonances in theories like
string theory and large N gauge theories. Yet, despite being very simple
objects, their
numerical bootstrap has proven challenging due to slow convergence of
the infinite sums over resonances.
In this talk I will present the content of a recent paper where we
managed to implement numerically a linear bootstrap program that allow
us to deform scattering amplitudes, starting from the Veneziano
amplitude for open strings. The bootstrap heavily relies
on Regge theory. In this talk I’ll explain the basics of the bootstrap,
mostly how we apply crossing symmetry, the trickiest aspect, and show
how it can be used to construct amplitude with phenomenological features
of gauge theories.
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