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Advancements in Muon Pair Analysis: Recombination Methods and Combinatorial Background Challenges

This study investigates the application of muon pair analysis using μ+μ+ and μ-μ- combinations within particle collision experiments. We hypothesize that muons in a pair are uncorrelated and propose that multiplicity distributions follow Poisson statistics. The paper discusses experimental analyses and advantages of using recombination methods, highlighting challenges such as bias from cuts and uncertainty in calculations. Simulations and references to existing literature provide insights into combinatorial backgrounds and statistical implications in heavy-ion physics.

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Advancements in Muon Pair Analysis: Recombination Methods and Combinatorial Background Challenges

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  1. Subtracting the combinatorial background Using μ+μ+ and μ-μ- pairs or a recombination method (mixing event) Hypothesizes, advantages, disadvantages… Simulation

  2. Using μ+μ+ and μ-μ- pairs • Hypothesizes: H1: Muons from a pair are not physically correlated H2: No correlation between meson + and – multiplicities H3: Multiplicities follow a Poisson distribution • Experimental constraint: Accμ+μ-(M0) = Accμ+μ+(M0) = Accμ-μ-(M0)  Nμ+μ+ / Nμ-μ- • Nμ+μ-(Bgr) = 2 (Nμ+μ+ Nμ-μ-)½ ≈ Nμ+μ+ + Nμ-μ- Nμ+μ-(Sgl) = Nμ+μ- - Nμ+μ-(Bgr) for A-A

  3. Using μ+μ+ and μ-μ- pairs in p-p, p-A… Small multiplicities H2 (no correlation between mesons + and mesons -) not right: Nμ+μ-(Bgr) = 2 R (Nμ+μ+ Nμ-μ-)½, R>1 R estimated using MC simulation

  4. Recombination method • Hypothesis:muon kinematical distributions from pairs identical with distributions if measure muons individually • Condition:combination between muons from same Δzvertex and Δb class of events • Advantages: - high statistics - do not need Accμ+ = Accμ- • Difficulties: - Bias introduced by cuts - Uncertainty calculation

  5. Au-Au: mass spectra No ghost Simulation: Central + J/ψ (MDC) (49300 evts)

  6. References Recombination methods in PHENIX central arms – e’s: • Y. Akiba: https://www.phenix.bnl.gov:8080/phenix/WWW/p/draft/akiba/01.01/ AN_PART2.pdf • F. Matathias: http://www.phenix.bnl.gov/phenix/WWW/p/lists/phenix-heavy-l/recent/msg00240.html Recombination method and R calculation in NA38/NA50: • “Etude de la production du J/ψ dans les réactions p-Cu, p-U, O-U et S-U à 200 GeV par nucléon” PhD thesis S. Papillon, Paris-7 university (March 1991), IPNO-T.91.03 • “Estimation of the combinatorial background in dimuon spectra using recombination of muons, and associated error” S. Constantinescu, S. Dita, D. Jouan (1996), IPNO-DRE-96-01 • “Intermediate mass dimuons in ultrarelativistic proton-nucleus and nucleus-nucleus collisions at the CERN-SPS” PhD thesis Cristina Soave, Tesi di Dottorato di Ricerca, Università Degli Studi Di Torino, April 1998. (see chapter 5) http://na50.web.cern.ch/NA50/theses.html Limit of the methods estimating the combinatorial background: • M. Gaździcki and M. I. Gorenstein hep-ph/0003319 Combinatorial background in ALICE: • P. Crochet and P. Braun-Munzinger nucl-ex/0106008

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