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Evaluation of Neutrino Flux and Cross-section Uncertainties at INGRID

This document presents findings from the INGRID collaboration regarding the uncertainties in absolute flux normalization (approximately 30%) and absolute cross-section (approximately 30%). The discussion explores the agreement between integrated on-axis neutrino flux and cross-section, based on data collected and Monte Carlo simulations. The number of interactions, efficiency corrections, and systematic uncertainties in extrapolation from INGRID to Super-Kamiokande (SK) are highlighted. Understanding these factors is crucial for accurately predicting the expected number of interactions in the SK detector.

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Evaluation of Neutrino Flux and Cross-section Uncertainties at INGRID

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  1. Information from INGRID Without any restrictions, Absolute flux ( normalization ) uncertainty ~ 30% Absolute cross-section uncertainty ~ 30% From INGRID, Integrated [ On-axis neutrino flux ] x [ Cross-section ] We can check the agreements of [ flux ] x [ cross-section ]. Otani ( 2010 Aug. collaboration meeting )

  2. Information from INGRID Otani ( 2010 Aug. collaboration meeting )

  3. Information from INGRID NINGRIDDATA : # of interactions obtained from data ( efficiency corrected ) NINGRIDMC : # of interactions estimated by MC NINGRIDMC = [ flux ]MC x [ cross-section ]MC RINGRID = NINGRIDDATA / NINGRIDMC NINGRIDDATA = RINGRID x NINGRIDMC =( 1 + cflux ) x [ flux ]MC x ( 1 + cs ) x [ cross-section ]MC RINGRID =( 1 + cflux ) x ( 1 + cs ) INGRID group can provide RINGRID .

  4. Information from INGRID Once we know RINGRID, RINGRID =( 1 + cflux ) x ( 1 + cs ) Here, cs is almost same in SK The s difference between Fe and O above 1 Gev agrees with simple model expectation. ( ≤ 10 % ) Expected number of interactions at SK ( NSK ) can be estimated as NSKcorrected ~ ( 1 + cflux ) x ( 1 + cs ) x NSKMC Here, we can not forget the following facts: • Systematic uncertainty in extrapolating • cflux at INGRID to cflux at SK, • cs was justified above 1GeV.

  5. Correlation of the fluxes at INGRID and at SK ESK Region in red circle shows the characteristic of off-axis beam. EINGRID Relative error estimated by beam group

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