Implication of the B -> rho rho data on the B -> pi pi puzzle

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dc.creatorLi, Hsiang-nan
dc.creatorMishima, Satoshi
dc.date2006-02-23
dc.date2006-06-07
dc.date.accessioned2026-07-07T10:44:48Z
dc.date.available2026-07-07T10:44:48Z
dc.descriptionWe point out that the B -> rho rho data have seriously constrained the possibility of resolving the B -> pi pi puzzle from the large observed B^0 -> pi^0 pi^0 branching ratio in the available theoretical approaches. The next-to-leading-order (NLO) contributions from the vertex corrections, the quark loops, and the magnetic penguin evaluated in the perturbative QCD (PQCD) approach have saturated the experimental upper bound of the B^0 -> rho^0 rho^0 branching ratio, and do not help. The NLO PQCD predictions for the B^0 -> rho^\mp rho^\pm and B^\pm -> rho^\pm rho^0 branching ratios are consistent with the data. The inclusion of the NLO jet function from the soft-collinear effective theory into the QCD-improved factorization approach, though enhancing the B^0 -> pi^0 pi^0 branching ratio sufficiently, overshoots the bound of the B^0 -> rho^0 rho^0 branching ratio, and deteriorates the predictions for the B^\pm -> pi^0 K^\pm and B^0 -> pi^\mp K^\pm direct CP asymmetries.
dc.description15 pages, 1 figure, REVTeX4; title changed, version to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-ph/0602214
dc.identifierhttp://arxiv.org/abs/hep-ph/0602214
dc.identifierPhys.Rev.D73:114014,2006
dc.identifierdoi:10.1103/PhysRevD.73.114014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182723
dc.subjectHigh Energy Physics - Phenomenology
dc.titleImplication of the B -> rho rho data on the B -> pi pi puzzle
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