Is anyone familiar with an anti-commutator analog Zassenhaus formula? I have been able to find the anti-commutator analog of the BCH formula $$e^ABe^A= B + \{B,A\}+\frac{1}{2!}\{\{B,A\},A\}+ \frac{1}{3!}\{\{\{B,A\},A\},A\} \cdots,$$ thus I believe that there should also exist one for Zassenhaus.