2020/01/31 by Hsiang-nan Li, Hiroyuki Umeeda, Fanrong Xu +1 · 2 citations
Physics and Astronomy · #hep-ph #hep-ex
paper · pdf · doi:10.1016/j.physletb.2020.135802
7 pages, 6 figures, v2: Version accepted in PLB. References added. Fig. 5 added
arxiv created 2020/09/23 · arxiv updated 2020/09/24
We calculate the parameters x and y for the D meson mixing in the Standard Model by considering a dispersion relation between them. The dispersion relation for a fictitious charm quark of arbitrary mass squared s is turned into an inverse problem, via which the mixing parameters at low s are solved with the perturbative inputs x(s) and y(s) from large s. It is shown that nontrivial solutions for x and y exist, whose values around the physical charm scale agree with the data in both CP-conserving and CP-violating cases. We then predict the observables |q/p|-1≈ 2× 10-4 and Arg(q/p)≈ 6× 10-3 degrees associated with the coefficient ratio for the D meson mixing, which can be confronted with more precise future measurements. Our work represents the first successful quantitative attempt to explain the D meson mixing parameters in the Standard Model.