Correction to $CP$-asymmetry in $\Upsilon(4S)$ decays due to the admixture of $B^0 \bar B^0$ in a $C$-even state

N. A. Panchenko; S. I. Godunov

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arXiv · 2511.14384

Correction to $CP$-asymmetry in $\Upsilon(4S)$ decays due to the admixture of $B^0 \bar B^0$ in a $C$-even state

N. A. Panchenko·S. I. Godunov

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Abstract

$BB$ pairs from $\Upsilon(4S)\to BB$ decays are in $C$-odd state. However, there is a small admixture of the $C$-even state and it modifies the time dependent $CP$-asymmetry. The $C$-even component appears due to soft photon emission, breaking the pure $C$-odd nature of the initial state. Using the two-particle wave function formalism, we derive analytical expressions for $CP$-asymmetry in both pure and mixed $C$-parity states. We emphasize the strong energy dependence of the admixture magnitude.

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N. A. Panchenko, S. I. Godunov. 2025-11-18. Correction to $CP$-asymmetry in $\Upsilon(4S)$ decays due to the admixture of $B^0 \bar B^0$ in a $C$-even state. https://arxiv.org/abs/2511.14384

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