the latter takes the simplified form: $$\begin{aligned}
\label{conf-constr-KD-Sing}
\left[\left({\hat{a}(l)\quad 0\atop\;\;\; 0\quad \hat{a}(l)}\right),
\left({
{^{QQ}\!\hat{\gamma}}\ {^{QG}\!\hat{\gamma}}\atop
{^{GQ}\!\hat{\gamma}}\ {^{GG}\!\hat{\gamma}}
}\right)
\right]=0.\end{aligned}$$ The matrix $\hat{a}(l)$ is diagonal, then it follows from the above equality that all entries in $\hat{\bf \gamma}$ are diagonal too and coincide with the moments of the DGLAP evolution kernels[^3]. Therefore, we can easily write the solution of the renormalization group equation (\[MOMEE\]) in terms of the conformal moments, for instance, for the quark non-forward distribution in the flavour non-singlet channel: $$\label{solution}
{^{\rm NS}\!{\cal O}^{\mit\Gamma}} (x, \zeta)
= \sum_{j = 0}^{\infty} \frac{1}{N_j (\frac{3}{2}) \zeta^{j + 1}}
\frac{x}{\zeta} \left( 1 - \frac{x}{\zeta} \right)
C_j^{\frac{3}{2}} \left( 2 \frac{x}{\zeta} - 1 \right)
\left( \frac{\alpha_s(Q)}{\alpha_s(Q_0)} \right)^{-
{^{\rm NS}\gamma^{\mit\Gamma}_j}/\beta_0}
\left. \langle h' |
{^{\rm NS}\!{\cal O}^{\mit\Gamma}}_{jj}
| h \rangle \right|_{Q_0^2},$$ with $\beta_0 = \frac{2}{3}N_f - \frac{11}{3}C_A$ and the normalization factor $$\label{normalization}
N_j (\nu) = 2^{ - 4 \nu + 1 }
\frac{ \Gamma^2 (\frac{1}{2}) \Gamma ( 2 \nu + j )}
{( \nu + j ) \Gamma^2 (\nu) \Gamma (j + 1)}.$$ The quark–gluon mixing problem in the singlet channel can be easily solved by straightforward diagonalization in the same way as in the case of the deep inelastic scattering (DIS). Note that Eq.(\[solution\]) is 