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Correlators of heavy-light quark currents in HQET: Perturbative contribution up to 4 loops and beyond

Andrey G. Grozin

Abstract

The perturbative contribution to the correlator of two HQET heavy-light currents expanded in light-quark masses up to quadratic terms is calculated up to 4 loops. The leading large-$β_0$ limit is also considered, so that terms with the highest degrees of $n_f$ are calculated to all orders in $α_s$. Borel images of coefficient functions in this limit contain renormalon poles. Naive nonabelianization works surprisingly poorly for the coefficient functions considered here.

Correlators of heavy-light quark currents in HQET: Perturbative contribution up to 4 loops and beyond

Abstract

The perturbative contribution to the correlator of two HQET heavy-light currents expanded in light-quark masses up to quadratic terms is calculated up to 4 loops. The leading large- limit is also considered, so that terms with the highest degrees of are calculated to all orders in . Borel images of coefficient functions in this limit contain renormalon poles. Naive nonabelianization works surprisingly poorly for the coefficient functions considered here.

Paper Structure

This paper contains 4 sections, 67 equations, 1 figure.

Table of Contents

  1. Introduction
  2. 4-loop calculation
  3. Large $\beta_0$ limit
  4. Conclusion

Figures (1)

  • Figure 1: Two-loop diagrams