The chromo-polarizabilities of a heavy quark at weak coupling

Abstract

We obtain the renormalization group improved expressions of the Wilson coefficients of the HQET Lagrangian with leading logarithmic approximation to $\mathcal{O}(1/m^3)$ for the spin-independent sector, which includes the heavy quark chromo-polarizabilites. Our analysis includes the effects induced by spectator quarks. We observe that the numerical impact of these logarithms is very large in most cases.

Comments: 34 pages, 14 figures; Journal version. Ref. [14] added. Fig. 4 slightly modified. More detailed comparison with Refs. [9,13,14] made. Results unchanged. v3: 1/2 missing factor in the c_kc_F^2 term in Eqs. 32 and 33 (and Eqs. 34, 35) corrected. Eqs. 55-60, 65-66 and Fig. 5 corrected. Numerical impact very small. Conclusions unchanged