Estimates of $m_d - m_u$ and $\langle\bar{d}d\rangle - \langle\bar{u}u\rangle$ from QCD sum rules for $D$ and $D^{\ast}$ isospin mass differences

Details Estimates of $m_d - m_u$ and $\langle\bar{d}d\rangle - \langle\bar{u}u\rangle$ from QCD sum rules for $D$ and $D^{\ast}$ isospin mass differences Estimates of $m_d - m_u$ and $\langle\bar{d}d\rangle - \langle\bar{u}u\rangle$ from QCD sum rules for $D$ and $D^{\ast}$ isospin mass differences

1993-02-24

arxiv.org/abs/hep-ph/9302299v1

Phys.Rev.D48:1441-1444,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, TPI-MINN-92/69-T and BUTP-93/2

Scientific paper

10.1103/PhysRevD.48.1441

The recent experimental data on $D^{+}-D^{0}$ and $D^{\ast\, +}-D^{\ast\,0}$ mass differences are used as inputs in the QCD sum rules to obtain new estimates on the mass difference of light quarks and on the difference of their condensates: $m_d -m_u =3\pm 1\, MeV$, $\langle\bar{d}d\rangle -\langle\bar{u}u\rangle = -(2.5\pm 1)\cdot 10^{-3}\langle\bar{u}u\rangle$ (at a standard normalization point, $\mu = 0.5\, GeV$).

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