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Calculation of 1/{ital m}{sub {ital c}}{sup 3} terms in the total semileptonic width of {ital D} mesons

Journal Article · · Physical Review, D
 [1]; ;  [2]
  1. Department of Physics, Technion-Israel Institute of Technology, Haifa 32000 (Israel)
  2. Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States)
We calculate the 1/{ital m}{sub {ital c}}{sup 3} corrections in the inclusive semileptonic widths of {ital D} mesons. We show that these are due to the novel penguin-type operators that appear at this level in the transition operator. Taking into account the nonperturbative corrections leads to the predicted value of the semileptonic width significantly lower than the experimental value. The 1/{ital m}{sub {ital c}}{sup 3} corrections worsen the situation or, at the very least, within uncertainty, give a small contribution. We indicate possible ways out of this problem. It seems most probable that violations of duality are noticeable in the energy range characteristic to the inclusive decays in the charm family. Theoretically these deviations are related to divergence of the high-order terms in the power expansion in the inverse heavy quark mass.
Research Organization:
University of Minnesota
DOE Contract Number:
FG02-94ER40823
OSTI ID:
45676
Journal Information:
Physical Review, D, Journal Name: Physical Review, D Journal Issue: 11 Vol. 51; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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