We observe the weak S 0 → S 2 transitions of the T-shaped benzene dimers (Bz) 2 and (Bz-d 6 ) 2 about 250 cm −1 and 220 cm −1 above their respective S 0 → S 1 electronic origins using two-color resonant two-photon ionization spectroscopy. Spin-component scaled (SCS) second-order approximate coupled-cluster (CC2) calculations predict that for the tipped T-shaped geometry, the S 0 → S 2 electronic oscillator strength f el (S 2 ) is ∼10 times smaller than f el (S 1 ) and the S 2 state lies ∼240 cm −1 above S 1 , in excellent agreement with experiment. The S 0 → S 1 (ππ * ) transition is mainly localized on the "stem" benzene, with a minor stem → cap charge-transfer contribution; the S 0 → S 2 transition is mainly localized on the "cap" benzene. The orbitals, electronic oscillator strengths f el (S 1 ) and f el (S 2 ), and transition frequencies depend strongly on the tipping angle ω between the two Bz moieties. The SCS-CC2 calculated S 1 and S 2 excitation energies at different T-shaped, stacked-parallel and parallel-displaced stationary points of the (Bz) 2 ground-state surface allow to construct approximate S 1 and S 2 potential energy surfaces and reveal their relation to the "excimer" states at the stacked-parallel geometry. The f el (S 1 ) and f el (S 2 ) transition dipole moments at the C 2v -symmetric T-shape, parallel-displaced and stacked-parallel geometries are either zero or ∼10 times smaller than at the tipped T-shaped geometry. This unusual property of the S 0 → S 1 and S 0 → S 2 transition-dipole moment surfaces of (Bz) 2 restricts its observation by electronic spectroscopy to the tipped and tilted T-shaped geometries; the other ground-state geometries are impossible or extremely difficult to observe. The S 0 → S 1 /S 2 spectra of (Bz) 2 are compared to those of imidazole · (Bz) 2 , which has a rigid triangular structure with a tilted (Bz) 2 subunit. The S 0 → S 1 / S 2 transitions of imidazole-(benzene) 2 lie at similar energies as those of (Bz) 2 , confirming our assignment of the (Bz) 2 S 0 → S 2 transition. C 2015 AIP Publishing LLC. [http://dx