Higher order flavor sum rules

by Margarita Gavrilova (Cornell)

Friday 23 Jun 2023, 13:00 → 14:00 Europe/London

Niels Bohr Seminar Room (Schuster)

One of the main goals of Flavor Physics is to overconstrain the CKM matrix. Non-perturbative QCD, however, makes this challenging by introducing hadronic matrix elements that cannot be reliably calculated. One way to get around this problem is to use approximate flavor symmetries of QCD. In my talk, I will first give you a big picture view of Flavor Physics and flavor symmetries and then focus specifically on the U-spin symmetry (d and s quark exchange) and U-spin sum rules. I will introduce you to our new results that reveal the rich mathematical structure underlying the sum rules and allow us to derive all U-spin amplitude sum rules for any system and to any order of the symmetry breaking. I will argue that, despite the relatively large breaking of the order 30%, the systematic expansion in U-spin breaking can be used for precision physics. I will also motivate the study of multibody hadron decays as a prospective direction where high precision theoretical predictions can be achieved.