Determining the Factorization Parameter and Strong Phase Differences in B→D<SUP>(*)</SUP>π Decays

XING Zhi-Zhong

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2024年10月30日

Chinese Physics C> 2002, Vol. 26> Issue(2) : 100-103

Determining the Factorization Parameter and Strong Phase Differences in B→D^(*)π Decays

XING Zhi-Zhong ^,

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China

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The first observation of the color suppressed decay mode B0d→D^(*)0π⁰ by the Belle and CLEO Collaborations makes a quantitative analysis of the isospin relations for the amplitudes of B→D^(*)π possible. The strong (isospin) phase difference in B→Dπ transitions is found to be about 29° by use of the Belle data or 26° by use of the CLEO data, implying that final state interactions might not be negligible. Applying the factorization approximation to I=3/2 and I=1/2 isospin amplitudes of B→Dπ decays, we obtain the ratio of the effective Wilson coefficients a eff 1and a eff 2∶ a eff 2/ a eff 1≈0.27. A similar analysis shows that the magnitude of final state interactions in B→D^*π might be comparable with that in B→Dπ, and the factorization hypothesis works consistently in both of them.

References

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. Neubert M, Stech B. hep-ph/9705292; Beneke M et al. Nucl. Phys., 2000, B591: 3132. Abe K et al. (Belle Collaboration)hep-ex/01070483. Ligeti Z. Talk Given at the International Europhysics Conference on High Energy Physics(HEP2001), July2001, Budapest, Hungary 4. Groom D E et al. (Particle Data Group)Eur. Phys. J., 2000, C15: 15. Yamamoto H. preprint, HUTP-94/A006(unpublished)6. Xing Z Z. Phys. Lett., 1995, B364: 55 7. Buchalla G, Buras A J, Lautenbacher M E. Rev. Mod. Phys., 1996, 68: 11258. XING Z Z. Nuovo Cim., 1995, A108: 1143; 1996, 109: 549 9. Neubert M. hep-ph/001220410. XING Z Z. Phys. Rev., 1996, D53: 2847

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XING Zhi-Zhong. Determining the Factorization Parameter and Strong Phase Differences in B→D^(*)π Decays[J]. Chinese Physics C, 2002, 26(2): 100-103.

XING Zhi-Zhong. Determining the Factorization Parameter and Strong Phase Differences in B→D^(*)π Decays[J]. Chinese Physics C, 2002, 26(2): 100-103. shu

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Received: 2001-09-10
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Determining the Factorization Parameter and Strong Phase Differences in B→D^(*)π Decays

XING Zhi-Zhong ^,

Corresponding author: XING Zhi-Zhong,

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China

Received Date: 2001-09-10
Accepted Date: 1900-01-01
Available Online: 2002-02-05

Abstract: The first observation of the color suppressed decay mode B0d→D^(*)0π⁰ by the Belle and CLEO Collaborations makes a quantitative analysis of the isospin relations for the amplitudes of B→D^(*)π possible. The strong (isospin) phase difference in B→Dπ transitions is found to be about 29° by use of the Belle data or 26° by use of the CLEO data, implying that final state interactions might not be negligible. Applying the factorization approximation to I=3/2 and I=1/2 isospin amplitudes of B→Dπ decays, we obtain the ratio of the effective Wilson coefficients a eff 1and a eff 2∶ a eff 2/ a eff 1≈0.27. A similar analysis shows that the magnitude of final state interactions in B→D^*π might be comparable with that in B→Dπ, and the factorization hypothesis works consistently in both of them.

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