Extracting the light quark mass ratio m_u/m_d from bottomonia transitions

Abstract

We propose a new method to extract the light quark mass ratio $m_u/m_d$ using the ${\rm Y}(4S)\to h_b{\pi }^0(\eta )$ bottomonia transitions. The decay amplitudes are dominated by the light quark mass differences, and the corrections from other effects are rather small, allowing for a precise extraction. We also discuss how to reduce the theoretical uncertainty with the help of future experiments. As a by-product, we show that the decay ${\rm Y}(4S)\to h_b\eta$ is expected to be a nice channel for searching for the $h_b$ state.

4 pages, 1 figure. Version slightly shortened to match the published version in PRL

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Cited by in corpus (10)

• Hadronic molecules
• Effect of charmed meson loops on charmonium transitions
• What can radiative decays of the X(3872) teach us about its nature?
• First observation of the hadronic transition ${\rm Y}(4S)\to \eta h_b(1P)$ and new measurement of the $h_b(1P)$ and ${\eta }_b(1S)$ parameters
• Hadron physics potential of future high-luminosity B-factories at the Upsilon(5S) and above
• Radiative decays of the spin-$2$ partner of $X(3872)$
• Exploring the ${\rm Y}(4S,5S,6S)\to h_b(1P)\eta$ hidden-bottom hadronic transitions
• Examining coupled-channel effects in radiative charmonium transitions
• Hindered magnetic dipole transitions between P-wave bottomonia and coupled-channel effects
• Determination of the $m_u$ and $m_d$ quark masses from $\eta \to 3\pi$ decay