Three Lectures on Meson Mixing and CKM phenomenology

Understand

I give an introduction to the theory of meson-antimeson mixing, aiming at students who plan to work at a flavour physics experiment or intend to do associated theoretical studies.

• I derive the formulae for the time evolution of a neutral meson system and show how the mass and width differences among the neutral meson eigenstates and the CP phase in mixing are calculated in the Standard Model.
• Special emphasis is laid on CP violation, which is covered in detail for K mixing, Bd mixing and Bs mixing.
• I explain the constraints on the apex (rho-bar,eta-bar) of the unitarity triangle implied by epsilon_K, Delta m_{B_d}, Delta m_{B_d}/(Delta m_{B_s}) and various mixing-induced CP asymmetries such as a_CP(Bd-bar -> J/psi K_short)(t).