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The Riddle of Polarization in $B \to VV$ Transitions

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arxiv hep-ph/0406162 v1 pith:YFNARLFZ submitted 2004-06-15 hep-ph

classification hep-ph
keywords longitudinalamplitudedecayspolarizationtransitionscannotcharmeddecay
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. First observation of $CP$ violation and measurement of polarization in $B^+\to\rho(770)^0 K^*(892)^+$ decays

    hep-ex 2025-08 accept novelty 8.0 of 10

    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.

  2. Improved global determination of two-meson distribution amplitudes from multi-body $B$ decays

    hep-ph 2025-01 conditional novelty 5.0 of 10

    An improved global fit of two-meson distribution amplitudes in the PQCD framework yields better convergence of the Gegenbauer expansion and resolves the Bs→K*Kbar* polarization puzzle, though the headline results are ...

  3. 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

    hep-ex 2025-12 accept novelty 4.0 of 10

    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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