Following up large numbers of candidates in continuous gravitational wave
    searches presents a challenge, particularly in regard to computational power
    and the time required to manually scrutinize each of the candidates. It is
    important to design and test good follow-up procedures that are safe (i.e.,
    minimize false dismissals) and computationally efficient across many search
    configurations. We investigate two follow-up procedures, or “vetoes,” both of
    which exploit the Doppler modulation predicted in astrophysical signals. In
    particular, we introduce the concept of using an effective point spread
    function as part of our veto criteria. We take advantage of a well-established
    semicoherent search algorithm based on a hidden Markov model to study various
    search configurations and to generalize the veto criteria by considering the
    overall veto performance in terms of efficiency and safety. The results can
    serve as a guideline for follow-up studies in future continuous gravitational
    wave searches using a hidden Markov model algorithm. The results also apply
    qualitatively to other semicoherent search algorithms.

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