Padé theory applied to the vacuum polarization of a heavy quark

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Abstract

The vacuum polarization of a quark, when considered in terms of the external momentum q2, is a function of the Stieltjes type. Consequently, the mathematical theory of Padé approximants assures that the full function, at any finite value of q2 away from the physical cut, can be reconstructed from its low-energy power expansion around q2 = 0. We illustrate this point by applying this theory to the vacuum polarization of a heavy quark and obtain the value of the constant K(2) governing the threshold expansion at order O (αs2). © 2010 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)307-312
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume686
Issue number4-5
DOIs
Publication statusPublished - 29 Mar 2010

Keywords

  • Heavy quark physics
  • Padé approximants

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