  In this paper, we propose an in-depth review of the vector and tensor
polarizabilities of the two energy levels of the 87Sr clock transition whose
measurement was reported in [P. G. Westergaard et al., Phys. Rev. Lett. 106,
210801 (2011)]. We conduct a theoretical calculation that reproduces the
measured coefficients. In addition, we detail the experimental conditions used
for their measurement in two Sr optical lattice clocks, and exhibit the
quadratic behaviour of the vector and tensor shifts with the depth of the
trapping potential and evaluate their impact on the accuracy of the clock.
