The role of the vacuum insertion approximation in calculating CP asymmetries in B decays

Yuval Grossman, Boris Kayser, Yosef Nir

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

CP asymmetries in B decays into final CP eigenstates are in many cases theoretically clean. In particular, they do not depend on the values of hadronic parameters. The sign of the asymmetries, however, does depend on the sign of the BB parameter. Furthermore, the information from εK that all angles of the unitarity triangles lie in the range {0, π} depends on the sign of the BK parameter. Consequently, in the (unlikely) case that the vacuum insertion approximation is such a poor approximation that either BB or BK is negative, the sign of CP asymmetries in neutral B decays will be opposite to the standard predictions. Various subtleties concerning the role of K - K̄ mixing in the case of final states with a single KS or KL, such as the B → ψKS decay, are clarified.

Original languageEnglish
Pages (from-to)90-96
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume415
Issue number1
DOIs
StatePublished - 4 Dec 1997
Externally publishedYes

Bibliographical note

Funding Information:
We thank Isi Dunietz for useful discussions. B.K. would like to thank Guido Altarelli for the excellent hospitality of CERN, and Leo Stodolsky for that of the Max Planck Institut. Y.G. is supported by the Department of Energy under contract DE-AC03- 76SF00515. Y.N. is supportedi n part by the United States-Israel Binational Science Foundation (BSF), by the Israel Science Foundation, and by the Minerva Foundation (Munich).

Funding

We thank Isi Dunietz for useful discussions. B.K. would like to thank Guido Altarelli for the excellent hospitality of CERN, and Leo Stodolsky for that of the Max Planck Institut. Y.G. is supported by the Department of Energy under contract DE-AC03- 76SF00515. Y.N. is supportedi n part by the United States-Israel Binational Science Foundation (BSF), by the Israel Science Foundation, and by the Minerva Foundation (Munich).

FundersFunder number
U.S. Department of EnergyDE-AC03- 76SF00515
Bonfils-Stanton Foundation
Minerva Foundation
United States-Israel Binational Science Foundation
Israel Science Foundation

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