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Mapping the material in the LHCb vertex locator using secondary hadronic interactions

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Abstract

Precise knowledge of the location of the material in the LHCb vertex locator (VELO) is essential to reducing background in searches for long-lived exotic particles, and in identifying jets that originate from beauty and charm quarks. Secondary interactions of hadrons produced in beam-gas collisions are used to map the location of material in the VELO. Using this material map, along with properties of a reconstructed secondary vertex and its constituent tracks, a $p$-value can be assigned to the hypothesis that the secondary vertex originates from a material interaction. A validation of this procedure is presented using photon conversions to dimuons.

Figures and captions

From Ref. [1]: (top left) a photograph of one side of the VELO, taken during assembly, showing the silicon sensors and readout hybrids; (top right) a schematic of both an $r$ and $\phi$ sensor, showing the sensor strips and routing lines; and (bottom) schematics showing the cross section of the $xz$ plane at $y=0$, where the $r(\phi)$ sensors are shown with solid blue (dashed red) lines, and an $xy$ view of overlapping sensors in the closed position. { N.b.}, the modules at positive (negative) $x$ are known as the left or A-side (right or C-side).

VeloAs[..].pdf [248 KiB]
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VeloAssemblyPhoto.pdf
randph[..].pdf [165 KiB]
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randphisensors.pdf
hidef_[..].png [60 KiB]
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hidef_VELO_detector_layout_crop-reduce.png

Reconstructed SVs in the Run 2 data sample showing the $xy$ plane integrated over $z$ within the region of the VELO that contains sensor modules. The left (right) panel shows the central (forward) VELO region. The bins are $0.1 mm \times0.1 mm $ in size.

sv_xyc.pdf [311 KiB]
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sv_xyc.pdf
sv_xyf.pdf [140 KiB]
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sv_xyf.pdf

Reconstructed SVs in the Run 1 data sample showing the $zr$ plane integrated over $\phi$, where a positive (negative) $r$ value denotes that the SV is closest to material in the right (left) half of the VELO. The bins are $0.1 mm \times1 mm $ in size. { N.b.}, the inner-most RF-foil region is nearly semi-circular in the $xy$ plane, which results in sharp edges at smaller $r$ values; however, at large $|y|$ values, the RF-foil is flat producing SVs at larger values of $r$ which can easily be mistaken as background in the $zr$ projection shown here.

sv_zr.pdf [351 KiB]
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sv_zr.pdf

Differences in the sensor locations relative to the survey specifications. The observed deviations are known from VELO alignment studies and accounted for during reconstruction.

mod_shifts.pdf [27 KiB]
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mod_shifts.pdf

Comparison between the RF-foil map at $y=0 mm $ and the description in LHCb simulation.

zx_foil.pdf [97 KiB]
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zx_foil.pdf

Example comparisons between the (filled bins) reconstructed SV locations and (red lines) the material map for: (top) $x$ versus $z$ near $y=0 mm $; (middle) same as the top but zoomed in on the ${0 < z < 100 mm }$ region; (bottom left) $x$ versus $y$ near the left-half $r$ sensor at $z=34.4 mm $; and (bottom right) $x$ versus $y$ near the right-half $\phi$ sensor at $z=49.3 mm $. For visual clarity: in the top panel, the red vertical lines denote the center of each sensor, while in the bottom panels only the edges of the sensors are shown; and in all panels, only the nominal RF-foil position is shown; { i.e.} the red RF-foil curves do not display its thickness.

zx_y0.pdf [219 KiB]
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zx_y0.pdf
zx_y0_zoom.pdf [131 KiB]
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zx_y0_zoom.pdf
xy_z34.pdf [205 KiB]
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xy_z34.pdf
xy_z49.pdf [240 KiB]
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xy_z49.pdf

The normalized photon conversion $p$-value distribution obtained using a subsample of data from an LHCb long-lived dark-photon search [8]. The data are consistent with the photon-conversion hypothesis. Some example dark-photon distributions are also shown for lifetimes of 1 and 10 ps, showing good separation between potential exotic signals and photon conversions.

materi[..].pdf [15 KiB]
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material_prob_aprime.pdf

Animated gif made out of all figures.

DP-2018-002.gif
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thumbnail_DP-2018-002.gif

Created on 18 October 2023.