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A new fast track-fit algorithm based on broken lines - Desy

A new fast track-fit algorithm based on broken lines - Desy

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χ 2 - and P -values Goodness-of-<str<strong>on</strong>g>fit</str<strong>on</strong>g><br />

with n <str<strong>on</strong>g>fit</str<strong>on</strong>g>ted parameters.<br />

1500<br />

1000<br />

500<br />

χ 2 (n−2) ≡ S(u)min = χ 2 (n measurements) + χ 2 (n − 2 kink angles)<br />

0<br />

0 0.5 1<br />

P-value distributi<strong>on</strong><br />

Number of degrees of freedom = n − 2<br />

1000<br />

500<br />

0<br />

0 0.5 1<br />

P-value distributi<strong>on</strong><br />

P -value distributi<strong>on</strong> for the momenta of 0.5 GeV/c (left, mean value of χ 2 = 99.2) and 10 GeV/c<br />

(right, mean value of χ 2 = 97.4) are shown from the trajectory <str<strong>on</strong>g>fit</str<strong>on</strong>g><br />

for a modified H1 c<strong>on</strong>figurati<strong>on</strong> (2 CST hits plus 98 drift chamber hits) in a vertex <str<strong>on</strong>g>fit</str<strong>on</strong>g> with a standard<br />

deviati<strong>on</strong> of 30 µm.<br />

V. Blobel – University of Hamburg A <str<strong>on</strong>g>new</str<strong>on</strong>g> <str<strong>on</strong>g>fast</str<strong>on</strong>g> <str<strong>on</strong>g>track</str<strong>on</strong>g>-<str<strong>on</strong>g>fit</str<strong>on</strong>g> <str<strong>on</strong>g>algorithm</str<strong>on</strong>g> <str<strong>on</strong>g>based</str<strong>on</strong>g> <strong>on</strong> <strong>broken</strong> <strong>lines</strong> page 22

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