## The amplitudes of the five sine and two cosine ## modulations as determined in the entire kinematic region. ## The first uncertainty is statistical, the second systematic. ## The results receive an additional 8.2\% scale uncertainty corresponding to the target ## polarization uncertainty. $A^{\sin(\phi+\phi_{S})}_{UT}$ -0.06 0.20 0.02 $A^{\sin(\phi-\phi_{S})}_{UT}$ -0.12 0.19 0.03 $A^{\sin(\phi_{S})}_{UT}$ 0.26 0.27 0.05 $A^{\sin(2\phi-\phi_{S})}_{UT}$ 0.03 0.16 0.01 $A^{\sin(3\phi-\phi_{S})}_{UT}$ 0.13 0.15 0.03 $A^{\cos(\phi)}_{UU}$ -0.01 0.11 0.10 $A^{\cos(2\phi)}_{UU}$ -0.17 0.11 0.05 ## The amplitudes of the five sine and two cosine ## modulations as determined for the $-t'$ interval $0.00 - 0.07$ GeV$^2$ ## and mean value $\langle-t'\rangle$ = 0.035 GeV$^{2}$ ## The first uncertainty is statistical, the second systematic. ## The results receive an additional 8.2\% scale uncertainty corresponding to the target ## polarization uncertainty. $A^{\sin(\phi+\phi_{S})}_{UT}$ 0.06 0.28 0.04 $A^{\sin(\phi-\phi_{S})}_{UT}$ -0.02 0.28 0.03 $A^{\sin(\phi_{S})}_{UT}$ 0.13 0.37 0.03 $A^{\sin(2\phi-\phi_{S})}_{UT}$ 0.24 0.22 0.03 $A^{\sin(3\phi-\phi_{S})}_{UT}$ 0.14 0.21 0.01 $A^{\cos(\phi)}_{UU}$ 0.05 0.15 0.06 $A^{\cos(2\phi)}_{UU}$ -0.19 0.15 0.07 ## The amplitudes of the five sine and two cosine ## modulations as determined for the $-t'$ interval $0.07 - 0.20$ GeV$^2$ ## and mean value $\langle-t'\rangle$ = 0.128 GeV$^{2}$ ## The first uncertainty is statistical, the second systematic. ## The results receive an additional 8.2\% scale uncertainty corresponding to the target ## polarization uncertainty. $A^{\sin(\phi+\phi_{S})}_{UT}$ -0.30 0.32 0.10 $A^{\sin(\phi-\phi_{S})}_{UT}$ -0.22 0.27 0.06 $A^{\sin(\phi_{S})}_{UT}$ 0.25 0.42 0.05 $A^{\sin(2\phi-\phi_{S})}_{UT}$ -0.28 0.26 0.07 $A^{\sin(3\phi-\phi_{S})}_{UT}$ 0.07 0.22 0.03 $A^{\cos(\phi)}_{UU}$ -0.09 0.17 0.16 $A^{\cos(2\phi)}_{UU}$ -0.14 0.17 0.07 ## The amplitudes of the five sine and two cosine ## modulations as determined for the $Q^{2}$ interval $1.85 -10.0$ GeV$^2$ ## and mean value $\langle Q^{2}\rangle$ = 3.07 GeV$^{2}$ ## The first uncertainty is statistical, the second systematic. ## The results receive an additional 8.2\% scale uncertainty corresponding to the target ## polarization uncertainty. $A^{\sin(\phi+\phi_{S})}_{UT}$ 0.10 0.28 0.03 $A^{\sin(\phi-\phi_{S})}_{UT}$ -0.18 0.26 0.03 $A^{\sin(\phi_{S})}_{UT}$ 0.45 0.37 0.12 $A^{\sin(2\phi-\phi_{S})}_{UT}$ -0.01 0.23 0.01 $A^{\sin(3\phi-\phi_{S})}_{UT}$ 0.16 0.21 0.02 $A^{\cos(\phi)}_{UU}$ -0.04 0.16 0.11 $A^{\cos(2\phi)}_{UU}$ -0.35 0.17 0.11 ## The amplitudes of the five sine and two cosine ## modulations as determined in the entire kinematic separated into longitudinal and transverse contributions. ## Here: longitudinal part. ## The first uncertainty is statistical, the second systematic. ## The results receive an additional 8.2\% scale uncertainty corresponding to the target ## polarization uncertainty. $A^{\sin(\phi+\phi_{S})}_{UT,L}$ -0.16 0.92 0.02 $A^{\sin(\phi-\phi_{S})}_{UT,L}$ -0.60 0.81 0.16 $A^{\sin(\phi_{S})}_{UT,L}$ -0.08 1.06 0.03 $A^{\sin(2\phi-\phi_{S})}_{UT,L}$ -0.38 0.71 0.11 $A^{\sin(3\phi-\phi_{S})}_{UT,L}$ 0.21 0.56 0.10 $A^{\cos(\phi)}_{UU,L}$ 0.53 0.40 0.08 $A^{\cos(2\phi)}_{UU,L}$ 0.60 0.39 0.17 ## Correlation and covariance matrix for entire kinematic region ## Order of asymmetry of amplitudes in correlation and covariance matrix. ## 1 $A^{\sin(\phi+\phi_{S})}_{UT}$ ## 2 $A^{\sin(\phi-\phi_{S})}_{UT}$ ## 3 $A^{\sin(\phi_{S})}_{UT}$ ## 4 $A^{\sin(2\phi-\phi_{S})}_{UT}$ ## 5 $A^{\sin(3\phi-\phi_{S})}_{UT}$ ## 6 $A^{\cos(\phi)}_{UU}$ ## 7 $A^{\cos(2\phi)}_{UU}$ PARAMETER CORRELATION COEFFICIENTS for data NO. 1 2 3 4 5 6 7 1 1.000-0.592 0.481 0.206 0.070-0.047-0.103 2 -0.592 1.000-0.306 0.093-0.045 0.026 0.111 3 0.481-0.306 1.000 0.147 0.079-0.068-0.136 4 0.206 0.093 0.147 1.000 0.227-0.042-0.094 5 0.070-0.045 0.079 0.227 1.000-0.056-0.043 6 -0.047 0.026-0.068-0.042-0.056 1.000 0.240 7 -0.103 0.111-0.136-0.094-0.043 0.240 1.000 covariance matrix for data 0.0256049946 -0.0142938199 0.0165352950 0.0041320474 0.0012691057 -0.0006337343 -0.0014046289 -0.0142938199 0.0228022348 -0.0099298572 0.0017580104 -0.0007753303 0.0003380968 0.0014223140 0.0165352950 -0.0099298572 0.0461245046 0.0039638653 0.0019458674 -0.0012378450 -0.0024830479 0.0041320474 0.0017580104 0.0039638653 0.0156734746 0.0032393994 -0.0004440108 -0.0009977270 0.0012691057 -0.0007753303 0.0019458674 0.0032393994 0.0130127968 -0.0005438238 -0.0004218152 -0.0006337343 0.0003380968 -0.0012378450 -0.0004440108 -0.0005438238 0.0071967102 0.0017336462 -0.0014046289 0.0014223140 -0.0024830479 -0.0009977270 -0.0004218152 0.0017336462 0.0072546963 PARAMETER CORRELATION COEFFICIENTS for background 1.000-0.438 0.483 0.037 0.020 0.019 0.001 -0.438 1.000-0.419 0.358 0.097-0.002-0.015 0.483-0.419 1.000-0.058-0.012 0.011 0.014 0.037 0.358-0.058 1.000 0.400-0.002-0.012 0.020 0.097-0.012 0.400 1.000 0.008 0.036 0.019-0.002 0.011-0.002 0.008 1.000 0.378 0.001-0.015 0.014-0.012 0.036 0.378 1.000 covariance matrix for background 0.0020432056 -0.0009442781 0.0012339530 0.0000729744 0.0000370505 0.0000247516 0.0000016368 -0.0009442781 0.0022705300 -0.0011271208 0.0007521371 0.0001854151 -0.0000023005 -0.0000209665 0.0012339530 -0.0011271208 0.0031913858 -0.0001445661 -0.0000265976 0.0000181338 0.0000230084 0.0000729744 0.0007521371 -0.0001445661 0.0019491161 0.0007090980 -0.0000025295 -0.0000151527 0.0000370505 0.0001854151 -0.0000265976 0.0007090980 0.0016132813 0.0000096625 0.0000416774 0.0000247516 -0.0000023005 0.0000181338 -0.0000025295 0.0000096625 0.0008699883 0.0003216328 0.0000016368 -0.0000209665 0.0000230084 -0.0000151527 0.0000416774 0.0003216328 0.0008322189 ------------------------------------------------------------------------------------------------------ ------------------------------------------------------------------------------------------------------ Correlation and covariance matrix for 0.0<-t'<0.07 bin. PARAMETER CORRELATION COEFFICIENTS 1.000-0.623 0.440 0.087 0.011-0.066-0.065 -0.623 1.000-0.335 0.097-0.002 0.096 0.082 0.440-0.335 1.000 0.031 0.060-0.058-0.137 0.087 0.097 0.031 1.000 0.151 0.022-0.053 0.011-0.002 0.060 0.151 1.000 0.003 0.008 -0.066 0.096-0.058 0.022 0.003 1.000 0.219 -0.065 0.082-0.137-0.053 0.008 0.219 1.000 covariance matrix for data 0.0483437538 -0.0297470970 0.0282278580 0.0032322210 0.0003785860 -0.0017015966 -0.0016558226 -0.0297470970 0.0472248057 -0.0212391227 0.0035622186 -0.0000712327 0.0024446746 0.0020841715 0.0282278580 -0.0212391227 0.0850408858 0.0015245801 0.0028241131 -0.0019640210 -0.0046548176 0.0032322210 0.0035622186 0.0015245801 0.0288304864 0.0041415997 0.0004418272 -0.0010533646 0.0003785860 -0.0000712327 0.0028241131 0.0041415997 0.0260952654 0.0000579805 0.0001522904 -0.0017015966 0.0024446746 -0.0019640210 0.0004418272 0.0000579805 0.0136414813 0.0029886576 -0.0016558226 0.0020841715 -0.0046548176 -0.0010533646 0.0001522904 0.0029886576 0.0136094715 PARAMETER CORRELATION COEFFICIENTS for background NO. 1 2 3 4 5 6 7 1 1.000-0.473 0.343 0.027 0.069 0.064 0.013 2 -0.473 1.000-0.310 0.247 0.063 0.015 0.054 3 0.343-0.310 1.000-0.029 0.001-0.020 0.022 4 0.027 0.247-0.029 1.000 0.244 0.033 0.033 5 0.069 0.063 0.001 0.244 1.000 0.064 0.028 6 0.064 0.015-0.020 0.033 0.064 1.000 0.236 7 0.013 0.054 0.022 0.033 0.028 0.236 1.000 covariance matrix for background 0.0057172009 -0.0027292949 0.0023714578 0.0001401913 0.0003451437 0.0002415015 0.0000453729 -0.0027292949 0.0058141012 -0.0021663768 0.0013060627 0.0003206269 0.0000584169 0.0001955409 0.0023714578 -0.0021663768 0.0083772460 -0.0001864992 0.0000088449 -0.0000912419 0.0000966530 0.0001401913 0.0013060627 -0.0001864992 0.0047964383 0.0011213818 0.0001124667 0.0001076807 0.0003451437 0.0003206269 0.0000088449 0.0011213818 0.0043905724 0.0002110360 0.0000869705 0.0002415015 0.0000584169 -0.0000912419 0.0001124667 0.0002110360 0.0024912166 0.0005554709 0.0000453729 0.0001955409 0.0000966530 0.0001076807 0.0000869705 0.0005554709 0.0022261077 ------------------------------------------------------------------------------------------------- Correlation and covariance matrix for 0.07<-t'<0.2 bin PARAMETER CORRELATION COEFFICIENTS for data NO. 1 2 3 4 5 6 7 1 1.000-0.533 0.518 0.390 0.159-0.056-0.174 2 -0.533 1.000-0.203 0.048-0.081-0.055 0.141 3 0.518-0.203 1.000 0.331 0.140-0.099-0.138 4 0.390 0.048 0.331 1.000 0.306-0.149-0.187 5 0.159-0.081 0.140 0.306 1.000-0.153-0.132 6 -0.056-0.055-0.099-0.149-0.153 1.000 0.259 7 -0.174 0.141-0.138-0.187-0.132 0.259 1.000 covariance matrix for data 0.0567735315 -0.0259583054 0.0390739303 0.0179690430 0.0061663718 -0.0016524252 -0.0051459612 -0.0259583054 0.0417930930 -0.0131228375 0.0019120149 -0.0026888036 -0.0014071365 0.0035938205 0.0390739303 -0.0131228375 0.1003149853 0.0202706467 0.0071975163 -0.0038997822 -0.0054561051 0.0179690430 0.0019120149 0.0202706467 0.0373859924 0.0096122961 -0.0035909398 -0.0044988171 0.0061663718 -0.0026888036 0.0071975163 0.0096122961 0.0263308468 -0.0030959597 -0.0026561984 -0.0016524252 -0.0014071365 -0.0038997822 -0.0035909398 -0.0030959597 0.0155250291 0.0040138866 -0.0051459612 0.0035938205 -0.0054561051 -0.0044988171 -0.0026561984 0.0040138866 0.0154866948 PARAMETER CORRELATION COEFFICIENTS for background NO. 1 2 3 4 5 6 7 1 1.000-0.427 0.597 0.029-0.005-0.021-0.015 2 -0.427 1.000-0.512 0.455 0.144-0.021-0.060 3 0.597-0.512 1.000-0.093-0.028 0.015 0.004 4 0.029 0.455-0.093 1.000 0.518-0.033-0.036 5 -0.005 0.144-0.028 0.518 1.000-0.005 0.036 6 -0.021-0.021 0.015-0.033-0.005 1.000 0.500 7 -0.015-0.060 0.004-0.036 0.036 0.500 1.000 covariance matrix for background 0.0030574215 -0.0014517547 0.0023756248 0.0000913522 -0.0000144676 -0.0000411952 -0.0000300946 -0.0014517547 0.0037850469 -0.0022683601 0.0016134423 0.0004362638 -0.0000468750 -0.0001301971 0.0023756248 -0.0022683601 0.0051854677 -0.0003877574 -0.0001001924 0.0000383201 0.0000093176 0.0000913522 0.0016134423 -0.0003877574 0.0033249767 0.0014747850 -0.0000682458 -0.0000742136 -0.0000144676 0.0004362638 -0.0001001924 0.0014747850 0.0024391998 -0.0000081888 0.0000633889 -0.0000411952 -0.0000468750 0.0000383201 -0.0000682458 -0.0000081888 0.0012626752 0.0006314867 -0.0000300946 -0.0001301971 0.0000093176 -0.0000742136 0.0000633889 0.0006314867 0.0012623439 -------------------------------------------------------------------------------------------------------- Correlation and covariance matrix for 1.0