Analytic reconstruction of heavy-quark two-point functions at O(αs3)

David Greynat; Pere Masjuan; Santiago Peris

doi:10.1103/PhysRevD.85.054008

Analytic reconstruction of heavy-quark two-point functions at O(αs3)

David Greynat, Pere Masjuan, Santiago Peris

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

10 Citations (Scopus)

Abstract

Using a method previously developed, based on the Mellin-Barnes transform, we reconstruct the two-point correlators in the vector, axial, scalar, and pseudoscalar channels at O(αs3) from the Taylor expansion at q2=0, the threshold expansion at q2=4m2 and the high-energy expansion at q2→-, where m is the heavy quark mass. The reconstruction is analytic and systematic and is controlled by an error function which becomes smaller as more terms in those expansions are known. © 2012 American Physical Society.

Original language	English
Article number	054008
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	85
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevD.85.054008
Publication status	Published - 13 Mar 2012

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abstract = "Using a method previously developed, based on the Mellin-Barnes transform, we reconstruct the two-point correlators in the vector, axial, scalar, and pseudoscalar channels at O(αs3) from the Taylor expansion at q2=0, the threshold expansion at q2=4m2 and the high-energy expansion at q2→-, where m is the heavy quark mass. The reconstruction is analytic and systematic and is controlled by an error function which becomes smaller as more terms in those expansions are known. {\textcopyright} 2012 American Physical Society.",

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AB - Using a method previously developed, based on the Mellin-Barnes transform, we reconstruct the two-point correlators in the vector, axial, scalar, and pseudoscalar channels at O(αs3) from the Taylor expansion at q2=0, the threshold expansion at q2=4m2 and the high-energy expansion at q2→-, where m is the heavy quark mass. The reconstruction is analytic and systematic and is controlled by an error function which becomes smaller as more terms in those expansions are known. © 2012 American Physical Society.

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