How isospin violation mocks {open_quotes}new{close_quotes} physics: {pi}{sup 0}-{eta},{eta}{sup {prime}} mixing in B{r_arrow}{pi}{pi} decays

Journal Article · Thu Apr 01 04:00:00 EST 1999 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.59.077502· OSTI ID:328599

Gardner, S ^[1]

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1. Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506-0055 (United States)

An isospin analysis of B{r_arrow}{pi}{pi} decays yields sin; 2{alpha}, where {alpha} {equivalent_to} arg[{minus} V{sub td} V{sub tb} {sup {asterisk}}/(V{sub ud} V{sub ub} {sup {asterisk}})] and V{sub ij} is a CKM matrix element, without hadronic uncertainty if isospin is a perfect symmetry. Isospin, however, is broken not only by electroweak effects but also by the {ital u} and {ital d} quark mass difference. The latter drives {pi}{sup 0}-{eta},{eta}{sup {prime}} mixing and converts the isospin-perfect triangle relation between the B{r_arrow}{pi}{pi} amplitudes to a quadrilateral. The combined isospin-violating effects impact the extracted value of sin; 2{alpha} in a significant manner, particularly if the latter is small. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 328599
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 7 Vol. 59; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
B MESONS
CP INVARIANCE
D QUARKS
ISOSPIN
PARTICLE DECAY
PIONS
STANDARD MODEL
U QUARKS