1998/03/31 by Hai-Yang Cheng, B. Tseng · 3 citations
Physics and Astronomy · #Amplitude #Annihilation #Branching fraction #Electron–positron annihilation #Hadron #High-Energy Particle Collisions Research #Omega #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ex #hep-ph
paper · pdf · doi:10.1103/physrevd.58.094005
published as Phys. Rev. D 58, 094005 (1998) · 36 pages, 10 figures. The definition of BR(B-> phi K*) given in (4.5) is corrected, and subsequent discussion is modified. A typo in (5.21) is corrected. Final version to appear in Phys. Rev. D
arxiv created 1998/06/11 · openalex publication_date 1998/09/18 · openalex created_date 2016/06/24 · arxiv updated 2016/08/24 · openalex updated_date 2026/08/05
Nonfactorizable effects in hadronic charmless \stackrel\ensuremath→BPP,VP decays can be parametrized in terms of the effective number of colors, Nceff, in the effective parameters aieff that are linear combinations of Wilson coefficients. It is shown that Nceff(V+A) in the penguin amplitudes induced by the (V\ensuremath-A)(V+A) four-quark operators is different from Nceff(V\ensuremath-A) in the decay amplitudes arising from the (V\ensuremath-A)(V\ensuremath-A) operators. Central values of the branching ratios for B^\ifmmode±\else\textpm\fi\ensuremath→\ensuremathω\ensuremathπ^\ifmmode±\else\textpm\fi and \stackrel\ensuremath→B\ensuremathπ\ensuremathπ decays favor Nceff(V\ensuremath-A)\ensuremath≈2, in accordance with the nonfactorizable effect observed in \stackrel\ensuremath→BD(*)\ensuremathπ(\ensuremathρ). Measurements of the interference effects in B^\ensuremath-\ensuremath→\ensuremathπ^\ensuremath-(\ensuremathρ^\ensuremath-)\ensuremathπ0(\ensuremathρ0) decays will provide a more decisive test of the parameter Nceff(V\ensuremath-A). However, Nceff(V+A)\ensuremath∼2 is ruled out by B^\ifmmode±\else\textpm\fi\ensuremath→\ensuremathφK^\ifmmode±\else\textpm\fi. We find that the current bound on B^\ifmmode±\else\textpm\fi\ensuremath→\ensuremathφK^\ifmmode±\else\textpm\fi implies Nceff(V+A)\ensuremath\gtrsim4.3, which is subject to the corrections from W-annihilation and spacelike penguin effects. With Nceff(V\ensuremath-A)\ensuremath≈2 we show that the branching ratio of \stackrel\ensuremath→B\ensuremathη^\ensuremath'K is enhanced considerably at small values of 1/Nceff(V+A) so that it is compatible with experiment. In particular, the measurement of B0\ensuremath→\ensuremathη^\ensuremath'K0 is now well explained without resorting to any new mechanism or new physics beyond the standard model. It is crucial to measure the charged and neutral decay modes of \stackrel\ensuremath→B\ensuremathφK and \stackrel\ensuremath→B\ensuremathφK* to test the generalized factorization hypothesis. Finally, we point out that it is difficult to understand the observed large branching ratio of B^\ifmmode±\else\textpm\fi\ensuremath→\ensuremathωK^\ifmmode±\else\textpm\fi within the present framework. Inelastic final-state interactions may alleviate the difficulty with this decay mode.