An analytic formula and an upper bound for ε′ ε in the Standard Model

Andrzej J. Buras; Markus E. Lautenbacher

doi:10.1016/0370-2693(93)91808-Z

An analytic formula and an upper bound for ε′ ε in the Standard Model

Andrzej J. Buras
, Markus E. Lautenbacher

Chair of Theoretical Elementary Particle Physics

Max-Planck-Institut für Physik
Technical University of Munich

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

16 Scopus citations

Abstract

Using the idea of the penguin box expansion we find an analytic expression for ε′ ε in the Standard Model as a function of m_t, m_s (m_c) and two non-perturbative parameters B₆^{( 1 2)} and B₈^{( 3 2)}. This formula includes next-to-leading QCD/QED short distance effects calculated recently by means of the operator product expansion and renormalization group techniques. We also derive an analytic expression for the upper bound on ε′ ε as a function of |V_cb|, |V_ub/V_cb|, B_K and other relevant parameters. Numerical examples of the bound are given.

Original language	English
Pages (from-to)	212-216
Number of pages	5
Journal	Physics Letters B
Volume	318
Issue number	1
DOIs	https://doi.org/10.1016/0370-2693(93)91808-Z
State	Published - 25 Nov 1993

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title = "An analytic formula and an upper bound for ε′ ε in the Standard Model",

abstract = "Using the idea of the penguin box expansion we find an analytic expression for ε′ ε in the Standard Model as a function of mt, ms (mc) and two non-perturbative parameters B6( 1 2) and B8( 3 2). This formula includes next-to-leading QCD/QED short distance effects calculated recently by means of the operator product expansion and renormalization group techniques. We also derive an analytic expression for the upper bound on ε′ ε as a function of |Vcb|, |Vub/Vcb|, BK and other relevant parameters. Numerical examples of the bound are given.",

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

note = "Funding Information: * Supported by the German Bundesministerium fiir Forschung und Technologie under contract 06 TM 732 and by the CEC Science project SC1-CT91-0729. 1 E-mail: [email protected]. 2 E-mail: [email protected].",

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N1 - Funding Information: * Supported by the German Bundesministerium fiir Forschung und Technologie under contract 06 TM 732 and by the CEC Science project SC1-CT91-0729. 1 E-mail: [email protected]. 2 E-mail: [email protected].

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N2 - Using the idea of the penguin box expansion we find an analytic expression for ε′ ε in the Standard Model as a function of mt, ms (mc) and two non-perturbative parameters B6( 1 2) and B8( 3 2). This formula includes next-to-leading QCD/QED short distance effects calculated recently by means of the operator product expansion and renormalization group techniques. We also derive an analytic expression for the upper bound on ε′ ε as a function of |Vcb|, |Vub/Vcb|, BK and other relevant parameters. Numerical examples of the bound are given.

AB - Using the idea of the penguin box expansion we find an analytic expression for ε′ ε in the Standard Model as a function of mt, ms (mc) and two non-perturbative parameters B6( 1 2) and B8( 3 2). This formula includes next-to-leading QCD/QED short distance effects calculated recently by means of the operator product expansion and renormalization group techniques. We also derive an analytic expression for the upper bound on ε′ ε as a function of |Vcb|, |Vub/Vcb|, BK and other relevant parameters. Numerical examples of the bound are given.

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JO - Physics Letters B

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An analytic formula and an upper bound for ε′ ε in the Standard Model

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