  This paper explores the numerical conformal bootstrap in general spacetime
dimensions through the lens of a distinct category of analytic functionals,
previously employed in two-dimensional studies. We extend the application of
these functionals to a more comprehensive backdrop, demonstrating their
adaptability and efficacy in general spacetime dimensions above two. The
bootstrap is implemented using the outer approximation methodology, with
computations conducted in double precision. The crux of our study lies in
comparing the performance of this category of analytic functionals with
conventional derivatives at crossing symmetric points. It is worth highlighting
that in our study, we identified some novel kinks in the scalar channel during
the maximization of the gap in two-dimensional conformal field theory. Our
numerical analysis indicates that these analytic functionals offer a superior
performance, thereby revealing a potential alternative paradigm in the
application of conformal bootstrap.
