Sterile neutrino oscillations in MINOS and hadron production in pC collisions Page: 79 of 237
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4.2 The calibration chain
cosmic rays. The mean response at the centre of each strip to a muon of normal inci-
dence is evaluated for each strip. Then, the mean response of each strip is normalised
to the mean detector response for the same time period according to:
Mean response of detector (dt)
Mean response of the strip end (s,d,t)(
This correction factor allows removal of channel-by-channel differences such as scin-
tillator light yield, wavelength-shifting fibres collection efficiency, readout fibre atten-
uation, photomultiplier quantum efficiency and photomultiplier gain.
e The attenuation correction A(x, d, s, t) is necessary as light attenuates as it travels
along the wavelength-shifting fibre. A module mapper was used during detector
construction for both detectors to illuminate the strips with -Y rays of well defined
energy (662 keV from "'Cs). Measurements of the recorded read-out from the strip
ends were made as a function of the position along the strip length where the strip
was irradiated. The light output R(x, d, s, t) can be parameterised as the sum of the
readout from each single strip end (1,2) attenuated by an exponential factor depending
on the distance x from each readout end:
R(x, d, s, t) = R1(d, s, t)e-+/L1(dst) R2(d, s, t)e(./L2(d3st))
where L1, L2 are attenuation lengths. From the parameterisation above, it is possible
to evaluate the correction factor A(x, d, t, s) that needs to be applied.
Inter-detector calibration and the absolute energy calibration
While the previous corrections are meant to make the detector response flat over space
and time, an extra multiplicative correction factor M(d) on the result of equation (4.1) is
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Tinti, Gemma Maria & U., /Oxford. Sterile neutrino oscillations in MINOS and hadron production in pC collisions, thesis or dissertation, July 1, 2010; Batavia, Illinois. (https://digital.library.unt.edu/ark:/67531/metadc1015233/m1/79/?rotate=270: accessed May 25, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.