Towards more precise determinations of the CKM phase $\beta$

Abstract

We derive a new flavor symmetry relation for the determination of the weak phase $\beta ={\varphi }_1$ from time-dependent CP asymmetries and $B\to J/\psi P$ decay rates. In this relation, the contributions to $\sin 2\beta$ proportional to $V_{ub}$ are parametrically suppressed compared to the contributions in the $B\to J/\psi K^0$ time-dependent CP asymmetry alone. This relation uses only $SU(3)$ flavor symmetry, and does not require further diagrammatic assumptions. The current data either fluctuate at the $2\sigma$ level from expectations, or may hint at effects of unexpected magnitude from contributions proportional to $V_{ub}$ or from isospin breaking.

5 pages, 1 figure, published version

References in corpus (6)

• The Golden Modes B^0 -> J/psi K_{S,L} in the Era of Precision Flavour Physics
• Measurement of the CP-violating phase $\beta$ in $B^0\to J/\psi {\pi }^{+}{\pi }^{-}$ decays and limits on penguin effects
• A Roadmap to Control Penguin Effects in $B_d^0\to J/\psi K_{\mathrm{S}}^0$ and $B_s^0\to J/\psi \varphi$
• Penguin contributions to CP phases in $B_{d,s}$ decays to charmonium
• Measurement of $CP$ violation in $B^0\to J/\psi K_S^0$ decays
• Doubly CKM-suppressed corrections to CP asymmetries in $B^0\to J/\psi K^0$

Cited by in corpus (14)

• Yukawa enhancement of $Z$-mediated New Physics in $\Delta S=2$ and $\Delta B=2$ Processes
• The CKM Parameters
• CP violation in the B system
• Branching ratio measurements and isospin violation in B-meson decays
• The Mathematical Structure of $U$-Spin Amplitude Sum Rules
• Measurement of the branching fraction and time-dependent $CP$ asymmetry for $B^0\to J/\psi {\pi }^0$ decays
• Measurement of the ratio of branching fractions and difference in $CP$ asymmetries of the decays $B^{+}\to J/\psi {\pi }^{+}$ and $B^{+}\to J/\psi K^{+}$
• First evidence for direct CP violation in beauty to charmonium decays
• Generation of isospin sum rules in heavy hadron weak decays
• Experimental Status of the CKM Matrix
• Impact of systematic and amplitude model correlations within and between systems of combined input: A case study with ${\varphi }_2$ ($\alpha$)
• Isospin sum rules for the nonleptonic $B$ decays
• CP violation and CKM studies (and first LHCb Run II results)
• Summary of CKM 2016 Working Group 4 : mixing and mixing-related $CP$ violation in the $B$ system