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Exact time-correlated coincidence modeling with reset boundaries — arXiv:2608.18728

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.18728
License (as archived): CC0-1.0
Archived: 2026-10-18T14:15:51.403Z
SHA-256 of the archived text: 61074fa55ff67130a85e24383d258d9ac27ed39ecc022c06660c58d5b5408f44
Stable URL of this page: https://metraipolis.com/documento/dc_82a2aaa09d26

How to cite

Exact time-correlated coincidence modeling with reset boundaries — arXiv:2608.18728 — arXiv (en), https://arxiv.org/abs/2608.18728 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_82a2aaa09d26 (Metraipolis archive dc_82a2aaa09d26, sha256 61074fa55ff67130a85e24383d258d9ac27ed39ecc022c06660c58d5b5408f44)

BibTeX

@misc{dc82a2aaa09d26,
  title = {Exact time-correlated coincidence modeling with reset boundaries — arXiv:2608.18728},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.18728},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_82a2aaa09d26; sha256 61074fa55ff67130a85e24383d258d9ac27ed39ecc022c06660c58d5b5408f44},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.18728. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Delayed-coincidence searches identify a rare prompt-delayed signal, but their accidental background is not a simple product of marginal rates: muon vetoes, event dead time, and delayed events created before the current window condition which event sequences can be recorded. We derive exact ordered coincidence rates, within a stated stochastic model, for a recorded stream of uncorrelated prompt-like singles and correlated prompt-delayed sources subject to Poisson reset boundaries and event dead time. The calculation separates two tasks: a Markov history chain carries the delayed events still pending at reset boundaries across windows, and a current-window propagator evaluates the ordered within-window integrals in closed form with block-matrix exponentials, the matrix-analytic toolkit of applied probability. The construction extends to any prescribed finite multiplicity by increasing the block-chain depth. Here we report every ordered one-, two-, and three-fold rate formed from uncorrelated singles, correlated prompts, and recorded delayed events, together with the genuine/accidental split of prompt-delayed pairs, multiplicity efficiencies, and the aggregate rate for multiplicity four or more. For the default window-close convention, we derive a three-term a posteriori error bound for the finite pending-population truncation. An independent streaming toy Monte Carlo validates the ordered rates, two-fold time densities, matched dead-time conventions, and aggregate high multiplicity. Within the stated assumptions, the construction is exact on the retained finite state spaces and provides explicit, computable truncation-error bounds.

Tema degli esploratori: statistica e scienza dei dati (retro-catalogo arXiv: annunci del 2026-08-20 in physics.data-an).
Categorie arXiv: High Energy Physics - Experiment (hep-ex) ; Data Analysis, Statistics and Probability (physics.data-an); Instrumentation and Detectors (physics.ins-det).
Pagina del lavoro: https://arxiv.org/abs/2608.18728 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-18T14:12:35.865Z dalla pagina https://arxiv.org/catchup/physics.data-an/2026-08-20?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).