In the domain of highly directive wireless networks, hybrid beamforming is a solution to overcome the complexities of baseband processors and make a good trade-off between transmission performance and cost. Nonetheless, the conventional hybrid beamformer, which employs phase shifters (PSs), has several significant concerns. These include limited amplitude constraints, expensive power consumption, and inefficient hardware architecture that results in exponential complexity in the number of antennas. As a result, this paper proposes a branchwise double phase shifter (B-DPS) architecture as a solution to achieve computationally efficient hybrid beamforming, where each RF chain is connected to two distinct PSs and antenna branches using a power splitting strategy. The proposed B-DPS hybrid beamformer implementation can comfortably rescale the beamforming coverage, thereby maximizing the spectral efficiency in scenarios involving mmWave massive multiple-input and multiple-output systems. Furthermore, we consider zero-forcing with an iterative algorithm as the digital beamformer to solve the joint optimization problem of hybrid beamforming. The outcomes of the simulation results validate the beam coverage of the proposed B-DPS architecture, which outperforms the conventional non-blockwise PSs implementation.