Polarimetry in Λc⁺ → p K⁻ π⁺#

10.48550/arXiv.2301.07010 10.5281/zenodo.7544989

\(\Lambda^+_\mathrm{c}\) polarimetry using the dominant hadronic mode

The polarimeter vector field for multibody decays of a spin-half baryon is introduced as a generalisation of the baryon asymmetry parameters. Using a recent amplitude analysis of the \(\Lambda^+_\mathrm{c} \to p K^- \pi^+\) decay performed at the LHCb experiment, we compute the distribution of the kinematic-dependent polarimeter vector for this process in the space of Mandelstam variables to express the polarised decay rate in a model-agnostic form. The obtained representation can facilitate polarisation measurements of the \(\Lambda^+_\mathrm{c}\) baryon and eases inclusion of the \(\Lambda^+_\mathrm{c} \to p K^- \pi^+\) decay mode in hadronic amplitude analyses.

Symbolic expressions

Compute the amplitude model over large data samples with symbolic expressions.

JSON grids

Reuse the computed polarimeter field in any amplitude analysis involving \(\Lambda_\mathrm{c}^+\).

Inspect interactively

Investigate how parameters in the amplitude model affect the polarimeter field.

Compute polarization

Learn how to determine the polarization vector using the polarimeter field.

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This website shows all analysis results that led to the publication of LHCb-PAPER-2022-044. More information on this publication can be found on the following pages:

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Several cross-checks with Julia can be found here.

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Figures for the paper can be downloaded here:

Figure 2

total-polarimetry-field-watermark.svg

Figure 3a

polarimetry-field-L1520-unaligned-watermark.svg

Figure 3b

polarimetry-field-L1520-aligned-watermark.svg

Figure 4

polarimetry-field-norm-uncertainties-watermark.png

All other exported figures can be found here.

Notebook execution times

Document

Modified

Method

Run Time (s)

Status

amplitude-model

2023-08-24 22:03

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26.46

appendix/alignment

2023-08-24 22:05

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83.63

appendix/angles

2023-08-24 22:05

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2.77

appendix/benchmark

2023-08-24 22:08

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175.67

appendix/dynamics

2023-08-24 22:08

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2.41

appendix/homomorphism

2023-08-24 22:08

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3.2

appendix/ls-model

2023-08-24 22:11

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153.17

appendix/phase-space

2023-08-24 22:11

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24.01

appendix/serialization

2023-08-24 22:12

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68.9

appendix/widget

2023-08-24 22:22

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594.92

cross-check

2023-08-24 22:23

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72.96

intensity

2023-08-24 22:28

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281.26

polarimetry

2023-08-24 22:32

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247.35

resonance-polarimetry

2023-08-24 23:27

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3319.87

uncertainties

2023-08-24 23:50

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1372.82

zz.polarization-fit

2023-08-24 23:55

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256.2