The B parameter beyond the leading order of the 1 N expansion

William A. Bardeen; A. J. Buras; J. M. Gerard

doi:10.1016/0370-2693(88)90913-6

The B parameter beyond the leading order of the 1 N expansion

William A. Bardeen, A. J. Buras, J. M. Gerard

Max-Planck-Institut für Physik und Astrophysik, Werner-Heisenberg-Institut für Physik

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136 Scopus citations

Abstract

We calculate the next-to-leading 1 N corrections to the B parameter which measures the size of the ΔS=2 matrix element 〈K⁰|(sd)_V-A(sd)_V-A|K⁰〉. These corections turn out to be small which assures the validity of the 1/N expansion. For Λ_QCD=0.3GeV we find B=0.66±0.10 to be compared with the leading order value B=0.75. We clarify the differences between these results and the results of the usual chiral perturbative calculations which give |B|≈ 1 3 at the tree level but appear to signal the breakdown of chiral perturbation theory at the one-loop level.

Original language	English
Pages (from-to)	343-349
Number of pages	7
Journal	Physics Letters B
Volume	211
Issue number	3
DOIs	https://doi.org/10.1016/0370-2693(88)90913-6
State	Published - 1 Sep 1988
Externally published	Yes

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abstract = "We calculate the next-to-leading 1 N corrections to the B parameter which measures the size of the ΔS=2 matrix element 〈K0|(sd)V-A(sd)V-A|K0〉. These corections turn out to be small which assures the validity of the 1/N expansion. For ΛQCD=0.3GeV we find B=0.66±0.10 to be compared with the leading order value B=0.75. We clarify the differences between these results and the results of the usual chiral perturbative calculations which give |B|≈ 1 3 at the tree level but appear to signal the breakdown of chiral perturbation theory at the one-loop level.",

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AU - Bardeen, William A.

AU - Buras, A. J.

AU - Gerard, J. M.

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N2 - We calculate the next-to-leading 1 N corrections to the B parameter which measures the size of the ΔS=2 matrix element 〈K0|(sd)V-A(sd)V-A|K0〉. These corections turn out to be small which assures the validity of the 1/N expansion. For ΛQCD=0.3GeV we find B=0.66±0.10 to be compared with the leading order value B=0.75. We clarify the differences between these results and the results of the usual chiral perturbative calculations which give |B|≈ 1 3 at the tree level but appear to signal the breakdown of chiral perturbation theory at the one-loop level.

AB - We calculate the next-to-leading 1 N corrections to the B parameter which measures the size of the ΔS=2 matrix element 〈K0|(sd)V-A(sd)V-A|K0〉. These corections turn out to be small which assures the validity of the 1/N expansion. For ΛQCD=0.3GeV we find B=0.66±0.10 to be compared with the leading order value B=0.75. We clarify the differences between these results and the results of the usual chiral perturbative calculations which give |B|≈ 1 3 at the tree level but appear to signal the breakdown of chiral perturbation theory at the one-loop level.

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The B parameter beyond the leading order of the 1 N expansion

Abstract

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