Abstract
The dispersive approach to QCD is briefly overviewed and its application to the assessment of hadronic contributions to electroweak observables is discussed.
Highlights
A certain nonperturbative hint about the strong interactions in the infrared domain is provided by the relevant dispersion relations
The dispersion relations render the kinematic restrictions on pertinent physical processes into the mathematical form and thereby impose stringent intrinsically nonperturbative constraints on the relevant quantities
The dispersive approach to QCD [56,57,58] merges the aforementioned nonperturbative constraints with corresponding perturbative input and provides the following unified integral representations for the functions on hand:
Summary
A certain nonperturbative hint about the strong interactions in the infrared domain is provided by the relevant dispersion relations. The latter are widely employed in a variety of issues of contemporary theoretical particle physics, such as, for example, the extension of applicability range of chiral perturbation theory [34, 35], the precise determination of parameters of resonances [36], the assessment of the hadronic light–by–light scattering [37], and many others (see, e.g., papers [38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54] and references therein). [59, 60]) merges the aforementioned nonperturbative constraints with corresponding perturbative input and provides the following unified integral representations for the functions on hand:
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