In order to reduce large sidelobes that may result from using a base station antenna with increased electronic downtilt, base station antennas according to the present disclosure may have a plurality of modules in which the columns of radiating elements of at least one of the modules are staggered or offset with respect to each other. For example, a multi-beam cellular antenna may include an antenna array having a plurality of modules, each module comprising at least three columns of radiating elements each having first polarization radiators, wherein the columns of radiating elements of at least one of the modules are staggered with respect to each other; and an antenna feed network configured to couple at least a first input signal and a second input signal to each first polarization radiator of each of the radiating elements included in a first of the plurality of modules.