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The Riddle of Polarization in B to VV Transitions
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The Riddle of Polarization in B to VV Transitions
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Measurements of polarization fractions in $B \to VV$ transitions, with $V$ a light vector meson, show that the longitudinal amplitude dominates in $B^0 \to \rho^+ \rho^-$, $B^+ \to \rho^+ \rho^0$, and $B^+ \to \rho^0 K^{*+}$ decays and not in the penguin induced decays $B^0 \to \phi K^{*0}$, $B^+ \to \phi K^{*+}$. We study the effect of rescattering mediated by charmed resonances, finding that in $B \to \phi K^*$ it can be responsible of the suppression of the longitudinal amplitude. For the decay $B \to \rho K^*$ we find that the longitudinal fraction cannot be too large without invoking new effects.
Forward citations
Cited by 2 Pith papers
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First observation of $CP$ violation and measurement of polarization in $B^+\to\rho(770)^0 K^*(892)^+$ decays
First observation of CP violation in B+ to rho(770)^0 K*(892)+ decays with A_CP = 0.507 and longitudinal polarization fraction f_L = 0.720 from 9 fb^-1 of LHCb data.
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Measurement of the branching fractions and longitudinal polarisations of $B^0_{(s)} \to K^{*0} \kern 0.18em \overline{\kern -0.18em K}{}^{*0}$ decays
LHCb measures f_L^d = 0.600 and f_L^s = 0.159 for B to K* Kbar* decays and reports a ratio L of 4.92 that confirms 4.4 sigma discrepancy with theory.
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