Listed below is the NuTeV electron neutrino and antineutrino data and MC events used for the oscillation search presented in the article entitled: "Limits on Electron Neutrino Disappearance at high $\Delta m^2$ from the NuTeV Neutrino and Antineutrino Data" by J. M. Conrad (Massachusetts Institute of Technology) and M. H. Shaevitz (Columbia University) In the analysis, there are 17 neutrino energy bins with the limits given in Section 1) and there are 14 sources of systematic uncertainty listed in Section 2). Section 1) gives the events and statistical error in neutrino energy bins - Bin No.: Neutrino energy bin number used in all the event vectors and matrices - elo / ehi: Low and High edge of the neutrino energy bins in GeV - Event Pred.: Monte Carlo prediction for the number of events in the give energy bin with no oscillations - Data(Avg eta2/3): Number of extracted electron neutrino events using the eta procedure. (The value is the average of the eta2 and eta3 extraction.) - Stat error: The statistical error for the extracted number of electron neutrino events from the eta3 procedure. Section 2) gives the correlated event uncertainties in neutrino energy bins for each of the systematic error sources. (See publication for details on each of the systematic sources.) Section 3) gives the full covariance matrix including statistical errors. This matrix is derived from the correlated event uncertainties given in Section 2) with the statistical error squared added to the diagonal elements. Section 4) gives the inverse of full covariance matrix including statistical errors. Here each element has been multiplied by 1.0e8. (The inverse matrix is given due to the finite precision of the values given in Section 3) ) For oscillation fitting, the inverse of the full covariance matrix can be used with the MC event prediction and measured data event numbers to form a chi2. The prediction in each energy bin needs to be modified by the appropriate oscillation probability (posc_i). This oscillation probability, before being applied, needs to be averaged over the energy bin width and over the neutrino flight path range from 850 m to 1290 m. chi2 = sum_i_j[ (data_i-pred_i*posc_i)*Minv_ij*(data_j-pred_j*posc_j) ] where i and j run over the 17 neutrino energy bins. =========================================================================================== Section 1) Data and Monte Carlo Predicted Events in Neutrino Energy Bins Neutrino Mode Events Bin No. elo (GeV) ehi (GeV) Event Pred. Data(Avg eta2/3 Stat error 1 30.0 40.0 461.91 487.59 245.29 2 40.0 50.0 644.75 605.98 209.63 3 50.0 60.0 831.17 973.00 196.33 4 60.0 70.0 1045.70 1203.05 180.42 5 70.0 80.0 1218.70 1302.00 164.95 6 80.0 87.5 1083.80 1196.30 134.08 7 87.5 95.0 1157.50 1363.70 124.18 8 95.0 105.0 1690.50 1542.35 129.47 9 105.0 115.0 1794.10 2081.00 122.38 10 115.0 130.0 2729.70 2869.70 141.10 11 130.0 145.0 2645.50 2715.60 123.77 12 145.0 160.0 2308.20 2497.65 116.36 13 160.0 180.0 2489.70 2532.40 117.56 14 180.0 200.0 1662.70 1688.15 102.96 15 200.0 225.0 1170.90 1313.05 87.87 16 225.0 250.0 588.83 528.90 62.73 17 250.0 300.0 441.99 414.43 62.36 Antineutrino Mode Events Bin No. elo (GeV) ehi (GeV) Event Pred. Data(Avg eta2/3 Stat error 1 30.0 40.0 308.09 246.37 133.27 2 40.0 50.0 355.17 521.61 102.07 3 50.0 60.0 391.63 401.07 83.13 4 60.0 70.0 387.27 508.07 69.67 5 70.0 80.0 414.28 409.19 58.59 6 80.0 87.5 315.99 331.23 45.63 7 87.5 95.0 330.33 295.69 42.86 8 95.0 105.0 436.04 449.08 46.38 9 105.0 115.0 437.27 397.69 40.61 10 115.0 130.0 597.10 538.25 45.68 11 130.0 145.0 541.29 585.14 41.22 12 145.0 160.0 462.02 426.95 40.61 13 160.0 180.0 470.73 422.82 32.82 14 180.0 200.0 278.08 369.13 27.96 15 200.0 225.0 196.74 220.18 22.72 16 225.0 250.0 87.20 110.98 17.98 17 250.0 300.0 56.38 34.19 12.63 ================================================================================================================================================================================================================ Section 2) Correlated Event Uncertainties in Neutrino Energy Bins Neutrino Mode Correlated Event Uncertainties Bin No. BR(Ke3) EhadScale EmuScale CeCalib Charm Klong nueCCmodel shortCCmodel dEdx_mu NN_Place Escale Rad corr eta3-eta2 Extra eta2/3 1 3.23 -1.39 -0.92 -10.62 7.85 18.94 -8.15 -115.30 56.23 -40.63 -2.23 38.37 -28.87 10.39 2 6.45 -2.58 -1.93 -12.90 8.38 14.18 -10.55 -93.88 38.30 -29.10 0.42 80.18 -9.05 14.51 3 9.14 -3.32 -2.49 -20.78 8.31 11.64 -15.37 -72.45 26.05 -17.55 -1.47 62.18 -85.81 18.70 4 12.55 -4.18 -3.14 -33.46 10.46 8.37 -19.61 -51.05 17.07 -6.02 11.79 52.88 165.12 23.53 5 15.84 -4.87 -3.66 -19.50 8.53 6.09 -20.25 -29.60 12.69 0.00 0.42 37.21 360.73 27.42 6 14.09 -4.34 -2.17 -10.84 6.50 4.34 -15.80 -7.97 4.44 0.00 5.15 18.32 198.82 24.39 7 15.05 -3.47 -2.32 -17.36 9.26 2.32 -15.93 4.12 5.10 0.00 10.40 5.26 191.61 26.04 8 21.98 -5.07 -3.38 -27.05 8.45 3.38 -14.10 25.15 5.11 0.00 3.64 14.56 -79.23 38.04 9 25.12 -3.59 -1.79 -48.44 1.79 0.69 -15.66 16.83 4.12 0.00 -12.46 0.62 -43.58 40.37 10 38.22 -2.73 -1.14 -16.38 2.73 0.52 -15.70 15.39 1.51 0.00 12.57 16.61 112.21 61.42 11 37.04 1.13 1.95 -26.46 2.65 1.01 -7.15 8.43 0.49 0.00 -15.27 19.22 74.82 59.52 12 32.31 4.62 4.62 39.24 1.37 0.44 0.59 4.63 1.17 0.00 -3.92 5.28 68.34 51.93 13 34.86 9.96 7.47 37.35 1.64 -0.95 9.36 3.10 0.12 0.00 -10.52 1.24 181.05 56.02 14 23.28 8.31 8.31 59.86 1.10 0.95 13.19 1.40 0.20 0.00 -11.66 1.24 131.38 37.41 15 16.39 8.20 7.03 55.03 0.00 0.00 15.89 0.73 0.01 0.00 -10.78 1.55 7.18 26.35 16 8.24 5.30 4.71 33.56 0.04 -0.11 9.18 0.27 0.05 0.00 -6.05 3.00 -3.64 13.25 17 6.19 5.75 4.86 48.18 0.03 0.08 11.77 0.23 0.00 0.00 -1.70 3.10 67.31 9.94 Antineutrino Mode Correlated Event Uncertainties Bin No. BR(Ke3) EhadScale EmuScale CeCalib Charm Klong nueCCmodel shortCCmodel dEdx_mu NN_Place Escale Rad corr eta3-eta2 Extra eta2/3 1 0.92 -0.18 -0.28 -4.93 8.93 19.41 -2.51 -8.18 24.21 0.23 5.64 4.33 -145.52 1.85 2 1.42 -0.36 -0.36 -6.39 10.66 18.11 -7.23 -6.70 13.70 0.16 14.20 2.87 -34.41 2.13 3 2.35 -0.55 -0.78 -4.70 10.97 14.88 -5.38 -5.23 6.58 0.10 10.23 2.12 -0.63 2.35 4 3.10 -0.58 -0.77 -8.13 11.23 10.07 -6.45 -3.76 2.79 0.03 13.38 1.80 20.36 2.32 5 4.14 -0.62 -0.83 -7.04 9.53 6.63 -4.52 -2.29 2.44 0.00 9.59 1.41 -24.00 2.49 6 3.48 -0.47 -0.63 -3.16 5.69 3.48 -3.53 -0.74 0.86 0.00 7.99 1.08 10.93 1.90 7 3.63 -0.43 -0.66 -3.96 5.95 2.64 -2.94 0.09 0.86 0.00 6.90 0.97 16.01 1.98 8 5.23 -0.35 -0.31 -3.05 5.23 3.05 -3.77 2.02 0.64 0.00 9.88 1.06 -36.26 2.62 9 5.68 -0.09 0.11 -6.12 4.37 1.75 -3.11 1.22 0.05 0.00 9.29 0.93 17.01 2.62 10 7.76 0.30 0.60 -7.17 4.18 1.19 -3.56 0.99 0.40 0.00 14.11 1.15 46.89 3.58 11 7.04 0.76 1.62 8.12 2.71 0.54 -2.72 0.47 0.12 0.00 16.18 1.14 -2.52 3.25 12 6.47 1.25 2.31 2.31 1.85 0.21 -1.29 0.22 0.00 0.00 14.01 1.32 8.96 2.77 13 6.59 2.21 3.77 18.36 1.41 0.47 -0.44 0.12 0.01 0.00 18.63 1.39 31.40 2.82 14 3.89 1.56 2.78 12.51 0.56 0.25 0.47 0.05 0.00 0.00 25.96 2.01 -16.39 1.67 15 2.75 1.38 2.36 14.56 0.39 0.20 0.82 0.02 0.00 0.00 26.99 2.89 -15.62 1.18 16 1.22 0.91 1.57 13.78 0.08 -0.02 0.80 0.01 0.00 0.00 33.54 5.16 11.98 0.52 17 0.79 0.65 1.13 6.03 0.23 0.06 0.42 0.00 0.00 0.00 32.68 11.20 5.31 0.34 ============================================================================================================================================================================================================================================= Section 3) Full Covariance Matrix including Statistical Errors Neutrino Mode Covariance Matrix with Stat error 81305.307 18231.436 16260.157 5375.721 -3960.399 -3195.81 -4784.46 1234.384 777.299 -3220.13 -1219.059 -1998.898 -5310.689 -4141.429 -612.452 -75.042 -2342.06 18231.436 62394.336 15080.151 9656.145 4126.628 1472.717 -508.566 1050.387 592.056 488.743 1634.043 -140.26 -1412.637 -1451.398 -437.573 -60.848 -967.274 16260.157 15080.151 57335.989 -4891.835 -24625.009 -14058.767 -14944.572 7835.587 4955.536 -7569.867 -3664.272 -5403.555 -15267.701 -11838.051 -1346.45 -56.134 -6566.919 5375.721 9656.145 -4891.835 68107.105 65329.656 35893.839 33749.058 -10965.281 -4860.708 21623.493 15684.859 11587.959 29946.787 20422.987 -280.213 -1451.855 9676.719 -3960.399 4126.628 -24625.009 65329.656 161696.628 74230.687 70994.353 -26382.981 -13338.615 43635.266 30350.896 25858.451 66364.395 47299.503 2143.322 -1601.182 23536.27 -3195.81 1472.717 -14058.767 35893.839 74230.687 59197.394 39613.031 -13792.352 -6688.051 25059.166 17470.026 14900.07 37192.57 26413.705 1369.814 -804.838 13015.236 -4784.46 -508.566 -14944.572 33749.058 70994.353 39613.031 53882.148 -12810.055 -5831.876 24537.412 17014.815 14241.55 35748.483 25105.277 954.471 -1032.233 12194.175 1234.384 1050.387 7835.587 -10965.281 -26382.981 -13792.352 -12810.055 26904.382 7521.473 -4324.566 -1580.886 -3639.692 -12596.42 -10325.528 -982.472 -77.814 -6288.346 777.299 592.056 4955.536 -4860.708 -13338.615 -6688.051 -5831.876 7521.473 22204.133 -275.193 1810.273 -1867.48 -6571.092 -6608.324 -1646.343 -814.352 -4897.015 -3220.13 488.743 -7569.867 21623.493 43635.266 25059.166 24537.412 -4324.566 -275.193 38937.778 14272.839 11538.384 24234.5 16609.259 1770.737 -15.309 7438.522 -1219.059 1634.043 -3664.272 15684.859 30350.896 17470.026 17014.815 -1580.886 1810.273 14272.839 27269.9 8577.575 17356.354 11483.832 1366.473 35.383 4601.657 -1998.898 -140.26 -5403.555 11587.959 25858.451 14900.07 14241.55 -3639.692 -1867.48 11538.384 8577.575 23601.602 18024.173 14167.756 4681.546 2114.977 7286.867 -5310.689 -1412.637 -15267.701 29946.787 66364.395 37192.57 35748.483 -12596.42 -6571.092 24234.5 17356.354 18024.173 52715.975 29327.137 5803.3 1866.231 14984.776 -4141.429 -1451.398 -11838.051 20422.987 47299.503 26413.705 25105.277 -10325.528 -6608.324 16609.259 11483.832 14167.756 29327.137 33839.846 6069.508 2497.046 12510.714 -612.452 -437.573 -1346.45 -280.213 2143.322 1369.814 954.471 -982.472 -1646.343 1770.737 1366.473 4681.546 5803.3 6069.508 12252.242 2597.371 3789.644 -75.042 -60.848 -56.134 -1451.855 -1601.182 -804.838 -1032.233 -77.814 -814.352 -15.309 35.383 2114.977 1866.231 2497.046 2597.371 5498.274 1735.677 -2342.06 -967.274 -6566.919 9676.719 23536.27 13015.236 12194.175 -6288.346 -4897.015 7438.522 4601.657 7286.867 14984.776 12510.714 3789.644 1735.677 11085.613 Antineutrino Mode Covariance Matrix with Stat error 40132.089 5988.149 790.945 -2421.743 3899.08 -1364.145 -2128.032 5476.051 -2306.615 -6619.038 475.339 -1198.276 -4516.846 2492.39 2374.926 -1600.039 -566.541 5988.149 12586.341 762.4 -31.512 1325.864 -64.027 -271.399 1557.257 -304.708 -1254.99 340.745 -75.161 -889.991 872.724 842.787 -12.622 276.658 790.945 762.4 7495.546 525.496 421.42 248.108 220.664 276.067 219.184 257.126 204.591 178.053 129.682 238.473 233.017 280.328 328.947 -2421.743 -31.512 525.496 5823.764 -62.585 499.922 583.258 -448.668 628.017 1314.84 180.876 407.838 787.577 -65.969 -60.393 588.686 518.975 3899.08 1325.864 421.42 -62.585 4343.125 -44.928 -178.662 1100.646 -180.115 -835.065 236.429 -39.745 -654.136 578.824 548.086 -54.138 162.77 -1364.145 -64.027 248.108 499.922 -44.928 2351.127 314.788 -230.323 346.281 722.537 133.259 245.383 471.548 7.503 11.717 362.325 314.605 -2128.032 -271.399 220.664 583.258 -178.662 314.788 2227.013 -423.73 427.258 951.221 96.534 274.534 596.914 -113.333 -108.092 375.765 300.298 5476.051 1557.257 276.067 -448.668 1100.646 -230.323 -423.73 3663.727 -426.364 -1446.896 299.343 -136.552 -958.397 840.094 807.556 -135.28 128.066 -2306.615 -304.708 219.184 628.017 -180.115 346.281 427.258 -426.364 2135.605 1059.775 129.251 326.534 649.651 -84.197 -83.003 442.053 372.68 -6619.038 -1254.99 257.126 1314.84 -835.065 722.537 951.221 -1446.896 1059.775 4643.344 142.86 677.449 1677.474 -450.301 -426.301 952.139 687.504 475.339 340.745 204.591 180.876 236.429 133.259 96.534 299.343 129.251 142.86 2113.061 292.347 441.648 604.108 624.593 641.812 585.617 -1198.276 -75.161 178.053 407.838 -39.745 245.383 274.534 -136.552 326.534 677.449 292.347 1994.424 651.818 287.056 303.571 629.091 543.51 -4516.846 -889.991 129.682 787.577 -654.136 471.548 596.914 -958.397 649.651 1677.474 441.648 651.818 2822.106 246.445 317.377 1278.384 913.87 2492.39 872.724 238.473 -65.969 578.824 7.503 -113.333 840.094 -84.197 -450.301 604.108 287.056 246.445 1913.538 1166.663 868.92 867.427 2374.926 842.787 233.017 -60.393 548.086 11.717 -108.092 807.556 -83.003 -426.301 624.593 303.571 317.377 1166.663 1726.282 943.279 925.839 -1600.039 -12.622 280.328 588.686 -54.138 362.325 375.765 -135.28 442.053 952.139 641.812 629.091 1278.384 868.92 943.279 1813.945 1304.446 -566.541 276.658 328.947 518.975 162.77 314.605 300.298 128.066 372.68 687.504 585.617 543.51 913.87 867.427 925.839 1304.446 1420.168 ============================================================================================================================================================================================================================================= Section 4) Inverse of the Full Covariance Matrix (Multiplied by 1.0e8) including Statistical Errors Neutrino mode inverse matrix (x1.e8) with stat errors 1379.608 -304.512 -279.742 -167.301 -42.484 8.55 83.98 40.918 19.149 65.948 19.239 0.318 62.913 49.581 -52.204 -74.593 100.76 -304.512 1845.709 -398.381 -272.813 -105.706 -38.074 98.653 -42.717 22.717 14.799 -59.761 -10.411 104.742 83.229 -60.429 -138.594 73.842 -279.742 -398.381 2179.486 -198.864 72.542 86.206 221.986 -196.42 -129.932 -1.836 -108.389 -38.096 198.057 198.24 -97.815 -189.884 345.575 -167.301 -272.813 -198.864 2676.639 -539.228 -421.054 -398.085 81.322 38.735 -195.894 -204.468 -9.233 -187.194 -59.789 297.779 363.786 11.071 -42.484 -105.706 72.542 -539.228 2493.162 -936.502 -1011.742 456.035 250.686 -325.286 -291.794 -34.424 -690.517 -517.444 522.661 734.878 -630.349 8.55 -38.074 86.206 -421.054 -936.502 4777.787 -886.659 235.688 97.32 -388.667 -321.634 -129.296 -613.847 -442.507 403.081 586.323 -473.157 83.98 98.653 221.986 -398.085 -1011.742 -886.659 5382.77 184.53 -5.411 -521.753 -393.471 -155.564 -727.093 -452.476 568.64 839.556 -341.034 40.918 -42.717 -196.42 81.322 456.035 235.688 184.53 5000.509 -861.149 -441.011 -578.913 -319.179 154.902 348.993 -133.479 -187.448 1043.567 19.149 22.717 -129.932 38.735 250.686 97.32 -5.411 -861.149 5526.304 -492.941 -860.959 -261.3 -45.483 363.533 156.915 270.661 1622.533 65.948 14.799 -1.836 -195.894 -325.286 -388.667 -521.753 -441.011 -492.941 4376.407 -651.932 -457.608 -524.44 -275.603 -6.138 93.627 80.28 19.239 -59.761 -108.389 -204.468 -291.794 -321.634 -393.471 -578.913 -860.959 -651.932 5502.079 -493.975 -617.244 -278.234 -115.422 -12.536 502.367 0.318 -10.411 -38.096 -9.233 -34.424 -129.296 -155.564 -319.179 -261.3 -457.608 -493.975 6558.316 -773.766 -886.431 -1021.329 -1116.186 -1144.455 62.913 104.742 198.057 -187.194 -690.517 -613.847 -727.093 154.902 -45.483 -524.44 -617.244 -773.766 5924.037 -1318.543 -770.523 -697.076 -1672.879 49.581 83.229 198.24 -59.789 -517.444 -442.507 -452.476 348.993 363.533 -275.603 -278.234 -886.431 -1318.543 7760.114 -1374.795 -1477.519 -2729.201 -52.204 -60.429 -97.815 297.779 522.661 403.081 568.64 -133.479 156.915 -6.138 -115.422 -1021.329 -770.523 -1374.795 10757.419 -2596.43 -2503.487 -74.593 -138.594 -189.884 363.786 734.878 586.323 839.556 -187.448 270.661 93.627 -12.536 -1116.186 -697.076 -1477.519 -2596.43 22262.47 -2929.04 100.76 73.842 345.575 11.071 -630.349 -473.157 -341.034 1043.567 1622.533 80.28 502.367 -1144.455 -1672.879 -2729.201 -2503.487 -2929.04 19966.802 Antineutrino mode inverse matrix (x1.e8) with stat errors 4435.156 -704.89 -347.429 127.344 -1211.729 253.985 650.813 -2281.942 851.854 2281.701 -390.773 405.778 3252.13 -2821.038 -4028.766 3235.739 53.762 -704.89 8932.941 -586.869 -490.327 -1019.739 -419.919 -272.692 -1293.97 -166.513 434.401 -294.542 -10.221 1445.96 -1094.521 -1414.67 1091.022 -1705.071 -347.429 -586.869 13752.925 -854.569 -864.522 -836.802 -861.977 -618.233 -777.478 -696.084 -268.357 -275.411 45.021 57.498 285.109 -11.024 -1857.807 127.344 -490.327 -854.569 19187.158 -822.345 -1519.865 -1812.211 -15.56 -1978.924 -2579.813 -224.614 -789.641 -950.585 1592.383 2842.695 -1381.752 -4633.754 -1211.729 -1019.739 -864.522 -822.345 26902.948 -908.098 -693.83 -3296.178 -832.518 613.252 -936.088 -380.58 3683.728 -2646.322 -3062.662 3516.443 -3756.436 253.985 -419.919 -836.802 -1519.865 -908.098 46233.906 -2188.443 -219.78 -2547.169 -3260.715 -662.548 -1234.628 -1652.333 1406.66 2778.495 -1956.129 -5540.933 650.813 -272.692 -861.977 -1812.211 -693.83 -2188.443 51611.512 442.849 -3337.634 -4634.583 -570.157 -1578.467 -2744.252 2819.122 5017.188 -2588.732 -6104.696 -2281.942 -1293.97 -618.233 -15.56 -3296.178 -219.78 442.849 39960.46 71.418 3395.188 -2020.759 -304.967 7251.983 -7422.729 -9721.431 6488.178 -4247.127 851.854 -166.513 -777.478 -1978.924 -832.518 -2547.169 -3337.634 71.418 56122.695 -6058.432 -859.598 -2365.906 -2435.826 2906.141 5961.904 -2442.024 -9751.674 2281.701 434.401 -696.084 -2579.813 613.252 -3260.715 -4634.583 3395.188 -6058.432 38063.387 -364.012 -3177.705 -7492.292 6985.31 11903.583 -8009.714 -12063.435 -390.773 -294.542 -268.357 -224.614 -936.088 -662.548 -570.157 -2020.759 -859.598 -364.012 56173.597 -1666.132 -3438.354 -5453.109 -7712.448 -6294.914 -5168.44 405.778 -10.221 -275.411 -789.641 -380.58 -1234.628 -1578.467 -304.967 -2365.906 -3177.705 -1666.132 58519.462 -3833.006 -1548.618 -1343.324 -5912.979 -8635.726 3252.13 1445.96 45.021 -950.585 3683.728 -1652.333 -2744.252 7251.983 -2435.826 -7492.292 -3438.354 -3833.006 67911.223 -471.945 -2616.196 -30935.917 -4917.817 -2821.038 -1094.521 57.498 1592.383 -2646.322 1406.66 2819.122 -7422.729 2906.141 6985.31 -5453.109 -1548.618 -471.945 106059.261 -32898.291 -20250.321 -27174.422 -4028.766 -1414.67 285.109 2842.695 -3062.662 2778.495 5017.188 -9721.431 5961.904 11903.583 -7712.448 -1343.324 -2616.196 -32898.291 142600.294 -35701.253 -44912.522 3235.739 1091.022 -11.024 -1381.752 3516.443 -1956.129 -2588.732 6488.178 -2442.024 -8009.714 -6294.914 -5912.979 -30935.917 -20250.321 -35701.253 209957.368 -126343.291 53.762 -1705.071 -1857.807 -4633.754 -3756.436 -5540.933 -6104.696 -4247.127 -9751.674 -12063.435 -5168.44 -8635.726 -4917.817 -27174.422 -44912.522 -126343.291 255148.599 =============================================================================================================================================================================================================================================