Improved Extrapolation Methods of Data-driven Background Estimation in High-Energy Physics

The data-driven methods of background estimations are widely used in cases where it is difficult to obtain reliable descriptions of backgrounds. In hadron collisions, multi-jet events are major sources of backgrounds, but they are not described with sufficient accuracy from theory. Therefore, in final states involving many jets, data-driven methods are often used to estimate the backgrounds to the processes of interest. In this letter, we improve upon one of the most widely used data-driven methods used for hadron collision environment, the "ABCD" method of extrapolation. We describe the mathematical background behind the data-driven methods and extend the idea to propose improvements to the methods.