https://doi.org/10.1140/epjc/s10052-020-08512-8
Regular Article – Theoretical Physics
A puzzle in 
decays and extraction of the 
fragmentation fraction
1
Theoretische Physik 1, Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068, Siegen, Germany
2
Technische Universität München, James-Franck-Straße 1, 85748, Garching, Germany
3
Dipartimento di Fisica, Università di Torino and INFN, Sezione di Torino, 10125, Turin, Italy
Received:
29
July
2020
Accepted:
2
October
2020
Published online:
15
October
2020
We provide updated predictions for the hadronic decays 
and 
. They are based on 
results for the QCD factorization amplitudes at leading power and on recent results for the 
form factors up to order 
in the heavy-quark expansion. We give quantitative estimates of the matrix elements entering the hadronic decay amplitudes at order 
for the first time. Our results are very precise, and uncover a substantial discrepancy between the theory predictions and the experimental measurements. We explore two possibilities for this discrepancy: non-factorizable contributions larger than predicted by the QCD factorization power counting, and contributions beyond the Standard Model. We determine the 
fragmentation fraction for the CDF, D0 and LHCb experiments for both scenarios.
© The Author(s) 2020
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