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Determinations of form factors for semileptonic decays and leptoquark constraints
By analyzing all existing measurements for ( ) decays, we find that the determinations of both the vector
form factor and scalar form factor for semileptonic
decays from these measurements are feasible. By taking the
parameterization of the one order series expansion of the and
, is determined to be , and the
shape parameters of and are
and , respectively. Combining with the average
of and lattice calculaltion, the is extracted
to be where the first error is experimental and the
second theoretical. Alternatively, the is extracted to be
by taking the as the value from the global
fit with the unitarity constraint of the CKM matrix. Moreover, using the
obtained form factors by lattice QCD, we re-analyze these
measurements in the context of new physics. Constraints on scalar leptoquarks
are obtained for different final states of semileptonic
decays
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