A 1996 analysis of the CP violating ratio ε′/ε

Andrzej J. Buras; Matthias Jamin; Markus E. Lautenbacher

doi:10.1016/S0370-2693(96)01349-4

A 1996 analysis of the CP violating ratio ε′/ε

Andrzej J. Buras, Matthias Jamin, Markus E. Lautenbacher

Chair of Theoretical Elementary Particle Physics

Research output: Contribution to journal › Article › peer-review

90 Scopus citations

Abstract

We update our 1993 analysis of the CP violating ratio ε′/ε in view of the changes in several input parameters, in particular the improved value of the top quark mass. We also investigate the strange quark mass m_s dependence of ε′/ε in view of rather low values found in the most recent lattice calculations. A simple scanning of the input parameters within one standard deviation gives the ranges: -1.2 · 10^-4 ≤ ε′/ε ≤ 16.0 · 10^-4 and 0 ≤ ε′/ε ≤ 43.0 · 10^-4 for m_s(m_c) = 150 ± 20 MeV and m_s(m_c) = 100 ± 20 MeV respectively. If the experimentally measured numbers and the theoretical input parameters are used with Gaussian errors, we find ε′/ε = (3.6 ± 3.4) · 10^-4 and ε′/ε = (10.4 ± 8.3) · 10^-4 respectively. We also give results for Im V_ts* V_td. Analyzing the dependence of ε′/ε on various parameters we find that only for m_s(m_c) ≤ 100 MeV and a conspiration of other input parameters, values for ε′/ε as large as (2-4) · 10^-3 and consistent with the NA31 result can be obtained.

Original language	English
Pages (from-to)	749-756
Number of pages	8
Journal	Physics Letters B
Volume	389
Issue number	4
DOIs	https://doi.org/10.1016/S0370-2693(96)01349-4
State	Published - 26 Dec 1996

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@article{0f79e689f15e48b79c9660a6c8d46081,

title = "A 1996 analysis of the CP violating ratio ε′/ε",

abstract = "We update our 1993 analysis of the CP violating ratio ε′/ε in view of the changes in several input parameters, in particular the improved value of the top quark mass. We also investigate the strange quark mass ms dependence of ε′/ε in view of rather low values found in the most recent lattice calculations. A simple scanning of the input parameters within one standard deviation gives the ranges: -1.2 · 10-4 ≤ ε′/ε ≤ 16.0 · 10-4 and 0 ≤ ε′/ε ≤ 43.0 · 10-4 for ms(mc) = 150 ± 20 MeV and ms(mc) = 100 ± 20 MeV respectively. If the experimentally measured numbers and the theoretical input parameters are used with Gaussian errors, we find ε′/ε = (3.6 ± 3.4) · 10-4 and ε′/ε = (10.4 ± 8.3) · 10-4 respectively. We also give results for Im Vts* Vtd. Analyzing the dependence of ε′/ε on various parameters we find that only for ms(mc) ≤ 100 MeV and a conspiration of other input parameters, values for ε′/ε as large as (2-4) · 10-3 and consistent with the NA31 result can be obtained.",

author = "Buras, {Andrzej J.} and Matthias Jamin and Lautenbacher, {Markus E.}",

note = "Funding Information: * Supported by the German Bundesministerium fiir Bildung und Forschung under contract 06 TM 743 and DFG Project Li 5 19/2-l.",

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AU - Buras, Andrzej J.

AU - Jamin, Matthias

AU - Lautenbacher, Markus E.

N1 - Funding Information: * Supported by the German Bundesministerium fiir Bildung und Forschung under contract 06 TM 743 and DFG Project Li 5 19/2-l.

PY - 1996/12/26

Y1 - 1996/12/26

N2 - We update our 1993 analysis of the CP violating ratio ε′/ε in view of the changes in several input parameters, in particular the improved value of the top quark mass. We also investigate the strange quark mass ms dependence of ε′/ε in view of rather low values found in the most recent lattice calculations. A simple scanning of the input parameters within one standard deviation gives the ranges: -1.2 · 10-4 ≤ ε′/ε ≤ 16.0 · 10-4 and 0 ≤ ε′/ε ≤ 43.0 · 10-4 for ms(mc) = 150 ± 20 MeV and ms(mc) = 100 ± 20 MeV respectively. If the experimentally measured numbers and the theoretical input parameters are used with Gaussian errors, we find ε′/ε = (3.6 ± 3.4) · 10-4 and ε′/ε = (10.4 ± 8.3) · 10-4 respectively. We also give results for Im Vts* Vtd. Analyzing the dependence of ε′/ε on various parameters we find that only for ms(mc) ≤ 100 MeV and a conspiration of other input parameters, values for ε′/ε as large as (2-4) · 10-3 and consistent with the NA31 result can be obtained.

AB - We update our 1993 analysis of the CP violating ratio ε′/ε in view of the changes in several input parameters, in particular the improved value of the top quark mass. We also investigate the strange quark mass ms dependence of ε′/ε in view of rather low values found in the most recent lattice calculations. A simple scanning of the input parameters within one standard deviation gives the ranges: -1.2 · 10-4 ≤ ε′/ε ≤ 16.0 · 10-4 and 0 ≤ ε′/ε ≤ 43.0 · 10-4 for ms(mc) = 150 ± 20 MeV and ms(mc) = 100 ± 20 MeV respectively. If the experimentally measured numbers and the theoretical input parameters are used with Gaussian errors, we find ε′/ε = (3.6 ± 3.4) · 10-4 and ε′/ε = (10.4 ± 8.3) · 10-4 respectively. We also give results for Im Vts* Vtd. Analyzing the dependence of ε′/ε on various parameters we find that only for ms(mc) ≤ 100 MeV and a conspiration of other input parameters, values for ε′/ε as large as (2-4) · 10-3 and consistent with the NA31 result can be obtained.

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A 1996 analysis of the CP violating ratio ε′/ε

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