CKM substructure

Yuval Grossman; Joshua T. Ruderman

doi:10.1007/JHEP01(2021)143

CKM substructure

Yuval Grossman
, Joshua T. Ruderman

Cornell University
New York University

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

5 Scopus citations

Abstract

The CKM matrix is not generic. The Wolfenstein parametrization encodes structure by having one small parameter, λ ≈ 0.22. We pose the question: is there substructure in the CKM matrix that goes beyond the single small parameter of the Wolfenstein parameterization? We find two relations that are approximately satisfied: |V_td|² = |V_cb|³ and |V_ub|²|V_us| = |V_cb|⁴. We discuss the statistical significance of these relations and find that they may indicate deeper structure in the CKM matrix. The current precision, however, cannot exclude an O(10 %) accident.

Original language	English
Article number	143
Journal	Journal of High Energy Physics
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1007/JHEP01(2021)143
State	Published - Jan 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021, The Author(s).

Keywords

Phenomenological Models

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10.1007/JHEP01(2021)143

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abstract = "The CKM matrix is not generic. The Wolfenstein parametrization encodes structure by having one small parameter, λ ≈ 0.22. We pose the question: is there substructure in the CKM matrix that goes beyond the single small parameter of the Wolfenstein parameterization? We find two relations that are approximately satisfied: |Vtd|2 = |Vcb|3 and |Vub|2|Vus| = |Vcb|4. We discuss the statistical significance of these relations and find that they may indicate deeper structure in the CKM matrix. The current precision, however, cannot exclude an O(10 \%) accident.",

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AB - The CKM matrix is not generic. The Wolfenstein parametrization encodes structure by having one small parameter, λ ≈ 0.22. We pose the question: is there substructure in the CKM matrix that goes beyond the single small parameter of the Wolfenstein parameterization? We find two relations that are approximately satisfied: |Vtd|2 = |Vcb|3 and |Vub|2|Vus| = |Vcb|4. We discuss the statistical significance of these relations and find that they may indicate deeper structure in the CKM matrix. The current precision, however, cannot exclude an O(10 %) accident.

KW - Phenomenological Models

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ER -

CKM substructure

Abstract

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Keywords

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