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We report on a non-perturbative study of the scale-dependent renormalizationfactors of a multiplicatively renormalizable basis of Delta B=2 parity-oddfour-fermion operators in quenched lattice QCD. We also present somepreliminary results of the matrix elements related to the mixing parameter ofthe B_s-meson. In our lattice formulation, the heavy quark is treated in thestatic approximation, while the strange one belongs to a doublet of twistedmass fermions at full twist, i.e. with twist angle alpha=pi/2. In thisframework, the parity-even Delta B=2 four-fermion operators responsible for themixing are rotated onto a linear combination of parity-odd operators in theabove-mentioned basis. Their physical matrix elements between static B_s-mesonsare extracted from lattice correlators with Schroedinger functional boundaryconditions. We observe a suppression of excited state contributions to theB_{B_s} mixing parameter and speculate about possible explanations.

First quenched results for the matrix elements of the B_{B_s} mixing parameter in the static limit from tmQCD