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Step: a tool to perform tests of smoothness on differential distributions based on expansion of polynomials

by Patrick L. S. Connor, Radek Žlebčík

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Patrick Connor
Submission information
Preprint Link:  (pdf)
Code repository:
Date accepted: 2023-05-02
Date submitted: 2022-12-23 09:55
Submitted by: Connor, Patrick
Submitted to: SciPost Physics Core
Ontological classification
Academic field: Physics
  • High-Energy Physics - Experiment
Approach: Computational


We motivate and describe a method based on fits with polynomials to test the smoothness of differential distributions. As a demonstration, we apply the method to several measurements of inclusive jet double-differential cross section in the jet transverse momentum and rapidity at the Tevatron and LHC. This method opens new possibilities to test the quality of differential distributions used for the extraction of physics quantities such as the strong coupling.

List of changes

Answerings to the 1st report:
1) We have clarified sigma and smooth(sigma) in the Y axis on Figures 2,4,6,8, in the captions.
2) We have improved the style of Figures 2a,4a, 6a, 8a, to better differentiate the statistical and systematic components.
Answering to the 2nd report:
3) We have changed "early stopping" into "stopping", and explicitly said that the four stoppings correspond to 4 flavours of the test.
Additional changes:
4) We have removed occurences of "very" throughout the text.
5) We have provided a reference to the midpoint cone algorithm used by the D0 and CDF Collaborations.

Published as SciPost Phys. Core 6, 040 (2023)

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