account for the operators of dimension three $O_{3Q^i}$ and five $O_{GQ^i}$, the $6$-marked terms correspond to the effects of Pauli interference and weak scattering. The explicit formulae for these contributions have the following form: $${\cal T}_{35b} = \Gamma_{b,spec}\bar bb - \frac{\Gamma_{0b}}{m_b^2}[2P_{c1} +
P_{c\tau 1} + K_{0b}(P_{c1} + P_{cc1}) + K_{2b}(P_{c2} + P_{cc2})]O_{Gb},
\label{5}$$ $${\cal T}_{35c} = \Gamma_{c,spec}\bar cc - \frac{\Gamma_{0c}}{m_c^2}[(2 +
K_{0c})P_{s1} + K_{2c}P_{s2}]O_{Gc}, \label{6}$$ where $$\Gamma_{0b} = \frac{G_F^2m_b^5}{192{\pi}^3}|V_{cb}|^2\qquad , \Gamma_{0c} =
\frac{G_F^2m_c^5}{192{\pi}^3}$$ with $K_{0Q} = C_{-}^2 + 2C_{+}^2,~K_{2Q} = 2(C_{+}^2 - C_{-}^2)$, and $\Gamma_{Q,spec}$ denotes the spectator width (see [@bigi; @9; @10; @11]): $$P_{c1} = (1-y)^4,\quad P_{c2} = (1-y)^3,$$ $$\begin{aligned}
P_{c\tau 1} &=& \sqrt{1-2(r+y)+(r-y)^2}[1 - 3(r+y) + 3(r^2+y^2) - r^3 - y^3
-4ry + \nonumber\\
&& 7ry(r+y)] + 12r^2y^2\ln\frac{(1-r-y+\sqrt{1-2(r+y)+(r-y)^2})^2}{4ry}\end{aligned}$$ $$P_{cc1} = \sqrt{1-4y}(1 - 6y + 2y^2 + 12y^3)
24y^4\ln\frac{1+\sqrt{1-4y}}{1-\sqrt{1-4y}}$$ $$P_{cc2} = \sqrt{1-4y}(1 + \frac{y}{2} + 3y^2)
- 3y(1-2y^2)\ln\frac{1+\sqrt{1-4y}}{1-\sqrt{1-4y}}$$ where $y = \frac{m_c^2}{m_b^2}$ and $r = m_{\tau}^2/m_b^2$. The functions $P_{s1} (P_{s2})$ can be obtained from $P_{c1} (P_{c2})$ by the substitution $y = m_s^2/m_c^2$. In the $b$-quark decays, we neglect the value $m_s^2/m_b^2$ and suppose $m_s = 0$.

The calculation of both the Pauli interference effect for the products of heavy quark decays with the quarks in the initial state and 