Effect of D⁰-D⁰ Mixing upon Cabibbo-favored D⁰ Decays

2022/07/25 by Schwartz, A. J.
#FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2207.11867

Abstract

The parameter y_CP is used to characterize mixing in the D⁰-D⁰ meson system. To determine y_CP, one measures the effective decay width of a D⁰ or D⁰ decaying to a CP eigenstate, relative to the effective width for a decay to a Cabibbo-favored, flavor-specific final state. When using y_CP to extract information about D⁰-D⁰ mixing and CP violation, the decay width of the Cabibbo-favored decay is usually assumed to equal 1/τ, the reciprocal of the D⁰ lifetime. However, there is a small correction to this that should be taken into account when y_CP is measured with sufficiently high precision. We calculate this correction in terms of charm mixing and CP violation parameters x, y, |q/p|, and ϕ.

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