D meson mixing as an inverse problem

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 vertical bar q/p vertical bar -1 approximate to 2 x 10(-4) and Arg(q/p) approximate to 6 x 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. (C) 2020 The Author(s). Published by Elsevier B.V.