Constraints on QCD Sum-rules from the Hölder Inequalities

Details Constraints on QCD Sum-rules from the Hölder Inequalities Constraints on QCD Sum-rules from the Hölder Inequalities

1995-07-13

arxiv.org/abs/hep-ph/9507304v1

Phys.Lett. B356 (1995) 573-579

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, RevTeX, 4 figures available upon request, to appear in Phys. Lett B

Scientific paper

10.1016/0370-2693(95)00875-L

A new technique based on H\"older's integral inequality is applied to QCD sum-rules to provide fundamental constraints on the sum-rule parameters. These constraints must be satisfied if the sum-rules are to consistently describe integrated physical cross-sections, but these constraints do not require any experimental data and therefore can be applied to any hadronic spectral function. As an illustration of this technique the Laplace sum-rules of the light-quark correlation function for the vector and the axial-vector currents are examined in detail. We find examples of inconsistency between the inequalities and sum-rule parameters used in some previous analyses of the vector and axial-vector channels.

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