Search

We propose a theoretical framework for analyzing two-body nonleptonic D meson decays, based on the factorization of short-distance (long-distance) dynamics into Wilson coefficients (hadronic matrix elements of four-fermion operators). The parametrization of hadronic matrix elements in terms of several nonperturbative quantities is demonstrated for the D → PP decays, P denoting a pseudoscalar meson. We consider the evolution of Wilson coefficients with energy release in individual decay modes, and the Glauber strong phase associated with the pion in nonfactorizable annihilation amplitudes, that is attributed to the unique role of the pion as a Nambu-Goldstone boson and a quark-antiquark bound state simultaneously. The above inputs improve the global fit to the branching ratios involving the η' meson and resolve the long-standing puzzle from the D0 &8594; π+π- and D0 → K+K- branching ratios, respec-tively. Combining short-distance dynamics associated with penguin operators and the hadronic parameters determined from the global fit to branching ratios, we predict direct CP asymmetries, to which the quark loops and the scalar penguin annihilation give dominant contributions. In particular, we predict ΔACP = ΔCP(K+K-) - ΔCP(π+π-) = -1.00 ✕ 10-3, lower than the LHCb and CDF data. [ABSTRACT FROM AUTHOR]

In this work, we perform a combined analysis of the R(D), R(D*), and R(J/ψ) anomalies in a model-independent manner based on the general framework of the four-fermion effective field theory, paying special attention to the use of the hadronic form factors. For the B→D(D*) transition form factors, we use the heavy quark field theory parametrization which includes the higher-order corrections of ϱ(αs,ΛQCD/mb,c) and was determined recently from a fit to lattice QCD and light-cone sum rule results in complementary kinematical regions of the momentum transfer. For the Bc→J/ψ(ηc) transitions, we use the form factors calculated in the covariant light-front quark model, which are found to be well consistent with the preliminary lattice results. With this particular treatment of hadronic matrix elements, in our analysis the two classes of vector operators are shown to be the most favored single new physics (NP) operators by the current experimental constraints within 2σ and the LEP1 data on Br(Bc→τν) as well as the minimum χ2 fit, while the tensor operator is also allowed but severely constrained, and the scalar ones are excluded. Using the favored ranges and fitted values of the Wilson coefficients of the single NP operators, we also give a prognosis for the physical observables, such as the ratios of decay rates (R(D(D*)), R(J/ψ(ηc))) and other polarized observables as well as the q² distributions. [ABSTRACT FROM AUTHOR]