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arXiv:2111.09968

Step: a tool to perform tests of smoothness on differential distributions based on Chebyshev polynomials of the first kind

Patrick L. S. Connor, Radek Zlebcik

We motivate and describe a method based on fits with Chebyshev polynomials to test the smoothness of differential distributions. We also provide a header-only tool in C++ called Step to perform such tests. As a demonstration we use the tool in the context of the measurement of inclusive double-differential cross section in the jet transverse momentum and rapidity at the Tevatron and LHC.