Bounding Low Energy Observables via S-Matrix Bootstrap

par Mehmet Gumus (Sissa)

mardi 14 nov. 2023, 11:00 → 12:00 Europe/Paris

Petit Amphi (LAPTh)

Fundamental laws of the nature sometimes can be constraining enough to lead us to the correct theories. The idea of imposing self-consistency conditions on the scattering matrix of particles, rooted in the law of probability conservation and Lorentz symmetries of spacetime, is known as the "S-matrix bootstrap" program. It was born in the 60s with the purpose of understanding strongly coupled physics, and is revisited nowadays with the help of more powerful computers and a better understanding of field theories.
In this talk, I will introduce the basic ideas behind it, and how it allows us to formulate optimization problems in the abstract space of physical observables in 3+1 dimensional spacetime. Then, I will argue that one can constrain the extremal values of low energy parameters in an effective field theory, also known as Wilson coefficients. Finally, I explain our recent attempt to bound a dimension-six operator from the Higgs sector of Standard Model EFT.