Abstract
I review kaon decays. I introduce the flavor problem and possible solutions. Very rare kaon decays like [see formula in PDF] are very important to this purpose: we study also [see formula in PDF] where chiral dynamics is important to disentangle short distance effects. We have also studied lepton flavor (universality) violation in rare kaon decays and the Bardeen Buras Gerard approach to describe the [see formula in PDF] form factor.
Highlights
Kaon decays are an important place to study non-perturbative aspects of QCD and test the Standard Model
Some channels are completely dominated by long-distance dynamics, such as the CPconserving amplitude for K → ππ and others, like K → πνν [1], which are described in terms of pure short-distance physics
Buras and collaborators, motivated by their previous work where weak hadronic matrix elements are evaluated in their model (BBG model) and by recent lattice results, are investigating New Physics to explain the experimental value of [2,3,4,5], Motivated by this interest we study the K± → π±l+l− form factor in the Bardeen-Buras-Gérard framework (BBG) model [6]
Summary
Some channels are completely dominated by long-distance dynamics, such as the CPconserving amplitude for K → ππ and others, like K → πνν [1], which are described in terms of pure short-distance physics. In this review we will be mostly concerned with kaon decays involving electromagnetic interactions and long-distance phenomena are not negligible. There are plenty of motivations to look for new physics (NP) in these kaon decays [2]. Buras and collaborators, motivated by their previous work where weak hadronic matrix elements are evaluated in their model (BBG model) and by recent lattice results, are investigating New Physics to explain the experimental value of [2,3,4,5], Motivated by this interest we study the K± → π±l+l− form factor in the BBG model [6]
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