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Many particle physics experiments use constant threshold triggers, where thetrigger threshold is in an online estimator that can be calculated quickly bythe trigger module. Offline data analysis then calculates a more preciseoffline estimator for the same quantity, for example the event energy. Theefficiency curve is a step function in the online estimator, but not in theoffline estimator.  One typically obtains the shape of the efficiency curve in the offlineestimator by way of a calibration dataset, where the true rate of events ateach value of the offline estimator is measured once and compared to the rateobserved in the physics dataset. For triggers with a fixed threshold condition,it is sometimes possible to bootstrap the trigger efficiency curve without useof a calibration dataset. This is useful to verify stability of a calibrationover time when calibration data cannot be taken often enough. It also makes itpossible to use datasets for which no calibration is available. This paperdescribes the method and the conditions that must be met for it to beapplicable.

Estimating the efficiency turn-on curve for a constant-threshold trigger without a calibration dataset