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Letter of Intent for KEK Super B Factory Part I: Physics

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3/2<br />

ΦfBq<br />

r<br />

0<br />

2.4<br />

2.2<br />

2.0<br />

1.8<br />

1.6<br />

Φ fBs<br />

quad<br />

quad+log<br />

Φ fBd<br />

quad<br />

quad+chlog<br />

Φ (quenched)<br />

fBq<br />

0.0 2.0 4.0 6.0<br />

(r m )<br />

0 π 2<br />

0.0 2.0 4.0 6.0<br />

(r m )<br />

0 π 2<br />

0.0 2.0 4.0 6.0<br />

(r m )<br />

0 π 2<br />

Figure 2.7: Chiral extrapolation <strong>of</strong> unquenched fB. The plot is <strong>for</strong> ΦfB<br />

with a Sommer scale r0. Figure from [76].<br />

√<br />

≡ fB mB normalized<br />

second is uncertainty from the chiral extrapolation and the third is from other systematic<br />

errors.<br />

• heavy-to-heavy semileptonic decay. The zero recoil <strong>for</strong>m factor <strong>of</strong> the semileptonic decay<br />

B → D (∗) lν has been calculated rather precisely using a double-ratio technique [79, 80].<br />

• heavy-to-light semileptonic decay. The B → πℓν <strong>for</strong>m factor has been calculated in<br />

quenched QCD to an accuracy <strong>of</strong> order 20% [81–84].<br />

These and other recent results have been reviewed at recent conferences [75, 85–87].<br />

References<br />

[1] N. Cabibbo, “Unitary Symmetry And Leptonic Decays,” Phys. Rev. Lett. 10 (1963) 531.<br />

[2] M. Kobayashi and T. Maskawa, “CP Violation In The Renormalizable Theory Of Weak<br />

Interaction,” Prog. Theor. Phys. 49, 652 (1973).<br />

[3] S. L. Glashow, J. Iliopoulos and L. Maiani, “Weak Interactions With Lepton – Hadron<br />

Symmetry,” Phys. Rev. D 2, 1285 (1970).<br />

[4] K. Hagiwara et al. [<strong>Part</strong>icle Data Group Collaboration], “Review Of <strong>Part</strong>icle <strong>Physics</strong>,”<br />

Phys. Rev. D 66, 010001 (2002).<br />

[5] L. Wolfenstein, “Parametrization Of The Kobayashi-Maskawa Matrix,” Phys. Rev. Lett.<br />

51, 1945 (1983).<br />

[6] M. Battaglia et al., “The CKM matrix and the unitarity triangle,” Proceedings <strong>of</strong> the<br />

First Workshop on the CKM Unitarity Triangle, CERN 13-16 February 2002; arXiv:hepph/0304132.<br />

[7] K. G. Wilson, “Nonlagrangian Models Of Current Algebra,” Phys. Rev. 179 (1969) 1499.<br />

41

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