  This article discusses a prescription to compute polarized dimensionally
regularized amplitudes, providing a recipe for constructing simple and general
polarized amplitude projectors in D dimensions that avoids conventional Lorentz
tensor decomposition and avoids also dimensional splitting. Because of the
latter, commutation between Lorentz index contraction and loop integration is
preserved within this prescription, which entails certain technical advantages.
The usage of these D-dimensional polarized amplitude projectors results in
helicity amplitudes that can be expressed solely in terms of external momenta,
but different from those defined in the existing dimensional regularization
schemes. Furthermore, we argue that despite being different from the
conventional dimensional regularization scheme (CDR), owing to the
amplitude-level factorization of ultraviolet and infrared singularities, our
prescription can be used, within an infrared subtraction framework, in a hybrid
way without re-calculating the (process-independent) integrated subtraction
coefficients, many of which are available in CDR. This hybrid CDR-compatible
prescription is shown to be unitary. We include two examples to demonstrate
this explicitly and also to illustrate its usage in practice.
