L = 1 light quark mesons in QCD

The contributions to the coefficient functions of the quark and the mixed quarkgluon condensate to mesonic correlators are calculated for the first time to all orders in the quark masses, and to lowest order in the strong coupling constant. Existing results on the coefficient functions of the unit operator and the gluon condensate are reviewed. The proper factorization of short-and long-distance contributions in the operator product expansion is discussed in detail. It is found that to accomplish this task rigorously the operator product expansion has to be performed in terms of non-normal-ordered condensates. The resulting coefficient functions are improved with the help of the renormalization group. The scale invariant combination of dimension 5 operators, including mixing with the mass operator, which is needed for the renormalization group improvement, is calculated in the leading order.

show abstract

“…[4,7]. We agree with these results and, for completeness, and further reference, cite here the corresponding expressions.…”

Section: The Gluon Condensatesupporting

confidence: 78%

Current correlators to all orders in the quark masses

Jamin

Münz

1993

Z. Phys. C - Particles and Fields

103

View full text Add to dashboard Cite

show abstract

“…One such approach is the QCD sum rule method [23][24][25][26][27]. A somewhat superficial view on QCD sum rules for vector mesons seems to support the original picture of an intimate connection between chiral restoration and in-medium changes.…”

Section: Introductionmentioning

confidence: 99%

The impact of chirally odd condensates on the rho meson

et al. 2012

View full text Add to dashboard Cite

Based on QCD sum rules we explore the consequences of a pure chiral restoration scenario for the ρ meson, where all chiral symmetry breaking condensates are dropped whereas the chirally symmetric condensates remain at their vacuum values. This pure chiral restoration scenario causes the drop of the ρ spectral moment by about 120 MeV. The complementarity of mass shift and broadening is discussed. A simple parametrization of the ρ spectral function leads to a width of about 600 MeV if no shift of the peak position is assumed.

show abstract

“…Moments in the low energy expansion can be used for precise extractions of charm and bottom quark masses via sum rules [1] (for reviews see [2,3,4]), whereas threshold and high energy expansions are directly related to production cross sections for tt, charmed hadrons or bottom hadrons in the respective energy regions.…”

Section: Introductionmentioning

confidence: 99%

Reconstruction of heavy quark current correlators at

et al. 2009

View full text Add to dashboard Cite

We construct approximate formulas for the O(α 3 s ) QCD contributions to vector, axial-vector, scalar and pseudo-scalar quark current correlators, which are valid for arbitrary values of momenta and masses. The derivation is based on conformal mapping and the Padé approximation procedure and incorporates known expansions in the low energy, threshold and high energy regions. We use our results to estimate additional terms in these expansions.

show abstract

L = 1 light quark mesons in QCD

Cited by 692 publications

References 16 publications

Current correlators to all orders in the quark masses

Current correlators to all orders in the quark masses

The impact of chirally odd condensates on the rho meson

Reconstruction of heavy quark current correlators at

Contact Info

Product

Resources

About