Power corrections to the modified QCD perturbative series based on conformal mapping of the Borel plane
Physical Review D(2024)
摘要
Modifications of the QCD perturbative expansions by the subtraction of the
dominant infrared renormalon have been proposed recently as attempts to solve
the long-standing discrepancy between fixed-order and contour-improved
perturbation theory for the hadronic τ decays. In this approach, the
modified perturbative series is supplemented by a modified gluon condensate in
the operator product expansion of the Adler function. Motivated by these works,
we revisited recently a formulation of the QCD perturbation theory, proposed
some time ago, which takes into account the renormalons by means of the
conformal mapping of the Borel plane. One expects that the modified
perturbative series obtained in this framework should be accompanied by
modified power-suppressed nonperturbative corrections. However, in the previous
studies the focus was on the perturbative series and the question of the
possible power corrections has not been considered. In the present paper, we
investigate for the first time this problem. Using techniques from the
mathematical resurgence theory, we derive the expression of the dominant power
correction to the perturbative series obtained by conformal mapping of the
Borel plane, and discuss its implications for phenomenological applications.
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