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A progress in inverse matrix method in QCD sum rules

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arxiv 2407.09819 v1 pith:WZBOB45L submitted 2024-07-13 hep-ph

A progress in inverse matrix method in QCD sum rules

classification hep-ph
keywords inversematrixmethodrulesapproximationdensitygroundspectral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In traditional QCD sum rules, the simple hadron spectral density model of ``delta-function-type ground state + theta-function-type continuous spectrum" determines that there is no perfect parameter selection. In recent years, inverse problem methods, especially the inverse matrix method, have shown better handling of QCD sum rules. This work continues to develop the inverse matrix method. Considering that the narrow-width approximation may still be a good approximation, we separate the contribution of the ground state from the spectral density. Then follow the general steps of the inverse matrix method to extract physical quantities such as decay constants that we are sometimes more interested in.

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    hep-ph 2026-07 conditional novelty 6.5

    An improved moment sum rule incorporating duality and dependence conditions uniquely fixes the continuum threshold and ground-state mass without ad-hoc OPE/pole criteria, matching prior Laplace results for a light tetraquark.