Abstract
We study through QCD sum rules the connection between the invariant quark mass difference\(\hat m_s - \hat m_u\) and the scalar form factor of the reactionK 0→π − μ + v μ in the physical region. We use both theoretical information, (the value off +(0) and the Callan-Treiman relation, includingm π 2/m k 2 corrections) and experimental one (the value ofλ 0 from a linear fit) to give a lower bound for\(\hat m_s - \hat m_u\). Taking the world most recent fitted value forλ 0,λ 0 = 0.025, which may be reasonably identified with the slope att=0, andf + (0) ≈ 0.98, we obtain\(\hat m_s - \hat m_u\) ≥ 250 MeV for\(\Lambda _{\overline {MS} }\) = 150 MeV. The relevant hypotheses and experimental trends are discussed.
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This work was supported by the Director, Office of Energy Research, Office of High Energy and Nuclear physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098
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Machet, B. M s −M u quark mass difference and the scalar form factor ofK 0 μ3 reaction. Z. Phys. C - Particles and Fields 21, 223–227 (1984). https://doi.org/10.1007/BF01577035
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DOI: https://doi.org/10.1007/BF01577035