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On the Flavor Problem in Strongly Coupled Theories - THEP Mainz

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Parameter Value ± Error Reference<br />

mBd 5.2795 GeV [245]<br />

fBd �<br />

(200 ± 20) MeV<br />

+0.024<br />

1.472<br />

[247]<br />

τBs<br />

−0.026<br />

� ps [250]<br />

cA 0.96 ± 0.02 [169, 170]<br />

mµ 105.66 MeV [245]<br />

mτ 1.777 GeV [245]<br />

Table C.4: Parameters enter<strong>in</strong>g <strong>the</strong> predictions for <strong>the</strong> B → µ + µ − -meson decays.<br />

The relevant magic numbers for <strong>the</strong> renormalization group runn<strong>in</strong>g of <strong>the</strong> Wilson<br />

coefficients <strong>in</strong> neutral meson mix<strong>in</strong>g read [152] for K − ¯ K mix<strong>in</strong>g<br />

ai = (0.29, 0.69, 0.79, 1.1, 0.14)<br />

b 11<br />

i = (0.82, 0, 0, 0, 0), c 11<br />

i = (0.016, 0, 0, 0, 0),<br />

b 44<br />

i = (0, 0, 0, 4.4, 0), c 44<br />

i = (0, 0, 0, 0.68, 0.0055),<br />

b 45<br />

i = (0, 0, 0, 1.5, 0.17), c 45<br />

i = (0, 0, 0, 0.35, 0.0062),<br />

b 54<br />

i = (0, 0, 0, 0.18, 0), c 54<br />

i = (0, 0, 0, 0.026, 0.016),<br />

b 55<br />

i = (0, 0, 0, 0.061, 0.82), c 55<br />

i = (0, 0, 0, 0.013, 0.018) .<br />

and Bs − ¯ Bs mix<strong>in</strong>g<br />

ai = (0.286, 0.692, 0.787, 1.143, 0.143)<br />

b 11<br />

i = (0.865, 0, 0, 0, 0), c 11<br />

i = (0.017, 0, 0, 0, 0),<br />

b 44<br />

i = (0, 0, 0, 2.87, 0), c 44<br />

i = (0, 0, 0, 0.48, 0.005),<br />

b 45<br />

i = (0, 0, 0, 0.961, 0.22), c 45<br />

i = (0, 0, 0, 0.25, 0.006),<br />

b 54<br />

i = (0, 0, 0, 0.09, 0), c 54<br />

i = (0, 0, 0, 0.013, 0.016),<br />

b 55<br />

i = (0, 0, 0, 0.029, 0.863), c 55<br />

i = (0, 0, 0, 0.007, 0.019) .<br />

189

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