TTP09-07 Three Lectures on Meson Mixing and CKM phenomenology

TTP09-07 Three Lectures on Meson Mixing and CKM phenomenology

TTP09-07 Three Lectures on Meson Mixing and CKM phenomenology

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 \kkm, \bbmd\ and \bbms. I explain the constraints on the apex $(\ov \rho,\ov \eta)$ of the unitarity triangle implied by $\e_K$, $\dm_{B_d}$, $\dm_{B_d}/\dm_{B_s}$ and various mixing-induced CP asymmetries such as $a_{\rm CP} (\ov B_d \to J/\psi K_{\rm

 short})(t)$.

The impact of a future measurement of CP violation in flavour-specific $B_d$ decays is also shown.

Ulrich Nierste
Lectures given at Helmholz International Summer School on Heavy Quark Physics, Dubna, Moscow Region, Russia, 11-21 Aug 2008. Published in *Dubna 2008, Heavy quark physics (HQP08)* 1-38
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