SAM-3.0 derives canonical cumulants from grand-canonical joint cumulants via a closed recursion with multivariate partial exponential Bell polynomials for arbitrary numbers of conserved charges and observables.
Efficient formulas for efficiency correction of cumulants
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abstract
We derive formulas which connect cumulants of particle numbers observed with efficiency losses with the original ones based on the binomial model. These formulas can describe the case with multiple efficiencies in a compact form. Compared with the presently suggested ones based on factorial moments, these formulas would drastically reduce the numerical cost for efficiency corrections when the order of the cumulant and the number of different efficiencies are large. The efficiency correction with realistic $p_T$-dependent efficiency would be carried out with the aid of these formulas.
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2026 1verdicts
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Subensemble Acceptance Method 3.0: General Corrections to Cumulants from Exact Conservation Constraints
SAM-3.0 derives canonical cumulants from grand-canonical joint cumulants via a closed recursion with multivariate partial exponential Bell polynomials for arbitrary numbers of conserved charges and observables.