Waiting for the top quark mass,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">K</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>→<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>νν¯,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant="italic">B</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">s</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math>-<i>B</i><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant="normal">¯</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">s</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math>mixing, and<i>CP</i>asymmetries in<i>B</i>decays
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TL;DR
In the course of the investigations, the analysis of the unitarity triangle is extended beyond the leading order in \lambda and several useful analytic formulae for quantities of interest are derived.
Abstract
Anticipating improved determinations of mt, | Vub/Vcb |, BK and FB BB in the next five years we make an excursion in the future in order to find a possible picture of the unitarity triangle, of quark mixing and of CP-violation around the year 2000. We then analyse what impact on this picture will have the measurements of four possibly cleanest quantities: BR(K + → π + ν¯ν), xd/xs, sin(2α) and sin(2β). Our analysis shows very clearly that there is an exciting time ahead of us. In the course of our investigations we extend the analysis of the unitarity triangle beyond the leading order in λ and we derive several useful analytic formulae for quantities of interest.
