$D-\bar{D}$ mixing in the framework of the HQE revisited

Abstract

We reconsider the leading HQE contributions to the absorptive part of the mixing amplitude of neutral $D$ mesons by taking also $\hat{I}{\pm }_s$ corrections and subleading $1/m_c$ corrections into account. We show that these contributions to $\hat{I}{“}_{12}$ do not vanish in the exact SU(3)${}_F$ limit and they also can have a large phase. Moreover, we give an example of a new physics model that can enhance these leading HQE terms to $\hat{I}{“}_{12}$, which are orders of magnitude lower than the current experimental expectation, by a factor in the upper double-digit range.

4 pages, 3 figures