One-loop master integral for order-v2n relativistic corrections to Γ[J/ψ → e+e-]

Jungil Lee, Hyeon Kyun Noh, Chaehyun Yu

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3 Citations (Scopus)


We show that one-loop scalar integrals contributing to the order-v 2n relativistic corrections to the QCD vertex corrections to the spin-triplet S-wave heavy-quark-antiquark pair annihilation into a virtual photon can be expressed in terms of a single master integral. With an algebraic reduction combined with the tensor-integral reduction method, we first simplify the scalar integrals as linear combinations of two-point functions. The two-point functions are reduced into a single master integral by using the recurrence relations derived from integration by parts. Order-v2 formulas are explicitly derived, and a strategy to calculate the higher-order relativistic corrections at order αs, is also given. The result may be very useful in calculating the order-v2n relativistic corrections to the leptonic decay width of the spin-triplet S-wave heavy quarkonium at order αs.

Original languageEnglish
Pages (from-to)398-402
Number of pages5
JournalJournal of the Korean Physical Society
Issue number2
Publication statusPublished - 2007 Feb


  • Master integral
  • Relativistic corrections

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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