PreprintCC BY 4.0arXiv
Resolving Local Structure of Distribution Functions in Collider Measurements
Abstract
Collider measurements may blur narrow features in underlying distributions before fitting, since a data point samples a finite region. We show that observables linear in a selected target distribution, after externally constrained inputs are absorbed into a nonnegative finite response, have a calculable distribution-space locality set by hard dynamics and kinematics. The baseline-normalized Fdir(X) yields the local value at zero width and a controlled average otherwise, with covariance setting the leading bias. This guides the choice of processes and observables that retain unexpected fine structure. An EIC photon-radiation observable realizes the exact zero-width limit.
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BibTeX
@misc{li2026resolving,
title = {{Resolving Local Structure of Distribution Functions in Collider Measurements}},
author = {Cong Li},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.02972},
eprint = {2609.02972},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.02972},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Resolving Local Structure of Distribution Functions in Collider Measurements
AU - Cong Li
PY - 2026
DA - 2026/09/06
PB - arXiv
DO - 10.48550/arxiv.2609.02972
UR - https://arxiv.org/abs/2609.02972
AB - Collider measurements may blur narrow features in underlying distributions before fitting, since a data point samples a finite region. We show that observables linear in a selected target distribution, after externally constrained inputs are absorbed into a nonnegative finite response, have a calculable distribution-space locality set by hard dynamics and kinematics. The baseline-normalized F_dir(X) yields the local value at zero width and a controlled average otherwise, with covariance setting the leading bias. This guides the choice of processes and observables that retain unexpected fine structure. An EIC photon-radiation observable realizes the exact zero-width limit.
ER -