Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-08-25
Nucl.Phys. A624 (1997) 517-526
Physics
High Energy Physics
High Energy Physics - Phenomenology
latex, 8 pages, 5 figures
Scientific paper
10.1016/S0375-9474(97)00472-7
Global fits to the shape of the first QCD Laplace sum rule exhibiting sensitivity to pion-resonance [$\Pi (1300)$] parameters are performed, leading to predictions for the pion-resonance mass and decay constant. Two scenarios are considered which differ only in their treatment of the dimension-six quark condensate $< O_6>$. The first scenario assumes an effective scale for $< O_6>$ from other sum-rule applications which is assumed to be independent of the physical value of the quark mass, while the second scenario requires self-consistency between the value of $< O_6>$ and the current algebra constraint $2m< \bar q q>=-f_\pi^2m_\pi^2$. Predictions of the pion-resonance mass $M_\pi$ and decay constant $F_\pi$ are obtained in these two scenarios. A byproduct of this analysis is a prediction of the renormalization-group invariant quark mass $(\hat m_u+\hat m_d)/2$.
Benmerrouche M.
Elias Victor
Fariborz Amir H.
~Breckenridge ~C. J.
~Steele ~G. T.
No associations
LandOfFree
QCD Sum Rules and the Pi(1300) Resonance does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with QCD Sum Rules and the Pi(1300) Resonance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and QCD Sum Rules and the Pi(1300) Resonance will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-583139