Long-Distance Contributions to $D^0-\bar{D}^0$ Mixing Parameters

Cheng, Hai-Yang; Chiang, Cheng-Wei

doi:10.1103/PhysRevD.81.114020

Long-Distance Contributions to $D^0-\bar{D}^0$ Mixing Parameters

Hai-Yang Cheng
(
- Taiwan, Inst. Phys. and
- Brookhaven
)
,
Cheng-Wei Chiang
(
- Taiwan, Natl. Central U. and
- Taiwan, Inst. Phys.
)

May, 2010

18 pages

Published in:

Phys.Rev.D 81 (2010) 114020

e-Print:

1005.1106 [hep-ph]

DOI:

10.1103/PhysRevD.81.114020

View in:

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Abstract: (arXiv)

Long-distance contributions to the

D^0

-

\bar D^0

mixing parameters

x

and

y

are evaluated using latest data on hadronic

D^0

decays. In particular, we take on two-body

D \to PP

and

VP

decays to evaluate the contributions of two-body intermediate states because they account for

\sim 50%

of hadronic

D^0

decays. Use of the diagrammatic approach has been made to estimate yet-observed decay modes. We find that

y

is of order a few

\times 10^{-3}

and

x

of order

10^{-3}

from hadronic

PP

and

VP

modes. These are in good agreement with the latest direct measurement of

D^0

-

\bar D^0

mixing parameters using the

D^0 \to K_S \pi^+\pi^-

and

K_S K^+ K^-

decays by BaBar. We estimate the contribution to

y

from the

VV

modes using the factorization model and comment on the single-particle resonance effects and contributions from other two-body modes involving even-parity states.

Note:

18 pages and 1 figure; footnotes and references added; to appear in Phys. Rev. D

13.25.Ft
12.15.Ff
resonance: effect
intermediate state: two-particle
factorization
D0 anti-D0: mixing
D0: hadronic decay
D0: decay modes
D0: branching ratio
dispersion relation

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Long-Distance Contributions to D0−Dˉ0D^0-\bar{D}^0D0−Dˉ0 Mixing Parameters

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Long-Distance Contributions to $D^0-\bar{D}^0$ Mixing Parameters