pith. sign in

arxiv: 2511.17447 · v2 · pith:5I6Z6QAQnew · submitted 2025-11-21 · ✦ hep-ex

Flavor-physics benchmarks for tracker-based particle identification at the FCC-ee

Pith reviewed 2026-05-21 18:00 UTC · model grok-4.3

classification ✦ hep-ex
keywords particle identificationFCC-eeb-flavor taggingtime-of-flightenergy depositcluster countingrare decaysjet tagging
0
0 comments X

The pith

Silicon trackers using time-of-flight and energy deposits suppress backgrounds for low-momentum hadrons in b-flavor tagging at the FCC-ee.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper benchmarks particle identification performance from tracker subsystems alone in the proposed CLD and IDEA detectors for the FCC-ee. Time-of-flight and energy-deposit measurements yield significant background suppression at high signal efficiency for the low-momentum hadrons used in same-side b-flavor tagging. For rare b to s transitions involving medium-momentum particles, only timing resolutions of 30 picoseconds or better produce an order-of-magnitude reduction in contamination beyond what kinematic criteria achieve by themselves. Light-quark jet tagging at very high momenta requires access to cluster counting in a drift chamber, as proposed for IDEA, to reach useful suppression levels, and this can be strengthened further with 30-50 picosecond timing in some cases.

Core claim

The central claim is that tracker-based particle identification via time-of-flight, energy-deposit measurements, and cluster counting delivers substantial background suppression with high signal efficiency for flavor-physics measurements at the FCC-ee, particularly for low-momentum hadrons in b-tagging and for high-momentum particles when drift-chamber cluster information is available, while medium-momentum rare decays require timing resolution of 30 ps or better to surpass kinematic methods by an order of magnitude.

What carries the argument

Tracker-derived particle identification through time-of-flight, dE/dx energy deposits, and cluster counting in silicon and drift-chamber subsystems.

If this is right

  • For same-side b-flavor tagging, tracker PID information improves signal efficiency while reducing contamination for low-momentum hadrons.
  • In rare b to s decays, timing resolution at or below 30 ps is needed to achieve contamination an order of magnitude below kinematic-only levels.
  • For s-jet tagging, drift-chamber cluster counting is required because time-of-flight and energy deposits cannot identify particles at the high momenta involved.
  • The overall PID performance depends only weakly on the precise cluster-counting efficiency.
  • Dedicated PID detectors may offer further gains but remain outside the scope of the current tracker-only study.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Detector design choices between CLD and IDEA could be weighted more toward flavor-physics reach if cluster counting proves decisive for jet tagging.
  • Similar tracker PID techniques might be tested at other proposed lepton colliders to assess portability of the suppression factors.
  • Combining the reported PID variables with existing kinematic discriminants could produce additive gains beyond those shown for each method alone.
  • Prototype timing measurements at 30 ps would directly test whether the projected order-of-magnitude improvement holds in real conditions.

Load-bearing premise

Fully simulated events accurately reproduce the real detector responses and misidentification rates for the CLD and IDEA setups, including cluster counting efficiency and timing resolution.

What would settle it

Direct comparison of the simulated misidentification rates for low- and medium-momentum hadrons against data collected in a test beam or prototype run of a silicon tracker with 30 ps timing and the proposed cluster-counting algorithm.

Figures

Figures reproduced from arXiv: 2511.17447 by Anja Beck, Eluned Smith.

Figure 1
Figure 1. Figure 1: FIG. 1. Input quantities for particle identification using CLD [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Input quantities for particle identification using IDEA [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Generator-level distributions of the charged-hadron [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (Left/right) ROC for the (top) pion, (middle) kaon, [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
Figure 1
Figure 1. Figure 1: Note that 10 000 particles per species are consid [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. (Left/right) AUC in different momentum ranges for [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Fraction of misidentified particles [PITH_FULL_IMAGE:figures/full_fig_p006_6.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. Momentum distributions of the charged hadrons con [PITH_FULL_IMAGE:figures/full_fig_p007_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. Efficiency of (mis)tagging [PITH_FULL_IMAGE:figures/full_fig_p008_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10. Level of contamination for the three rare decays [PITH_FULL_IMAGE:figures/full_fig_p009_10.png] view at source ↗
Figure 12
Figure 12. Figure 12: shows the efficiency of selecting events based on whether the particle with the highest momentum was a kaon. Note that the efficiency is calculated relative to the 46% (80%) of the H → ss (H → uu/dd) events where the highest momentum particle was a kaon (pion). Due to the very high momenta shown in [PITH_FULL_IMAGE:figures/full_fig_p010_12.png] view at source ↗
Figure 14
Figure 14. Figure 14: FIG. 14. (Left/right) AUC in different momentum ranges [PITH_FULL_IMAGE:figures/full_fig_p012_14.png] view at source ↗
Figure 15
Figure 15. Figure 15: FIG. 15. Fraction of misidentified particles [PITH_FULL_IMAGE:figures/full_fig_p013_15.png] view at source ↗
Figure 17
Figure 17. Figure 17: FIG. 17. (Left/right) Distribution of the BDT scores for [PITH_FULL_IMAGE:figures/full_fig_p014_17.png] view at source ↗
Figure 20
Figure 20. Figure 20: FIG. 20. (Left/right) Distribution of the BDT scores for a [PITH_FULL_IMAGE:figures/full_fig_p015_20.png] view at source ↗
Figure 22
Figure 22. Figure 22: FIG. 22. (Left/right) Distribution of the BDT scores for a [PITH_FULL_IMAGE:figures/full_fig_p016_22.png] view at source ↗
Figure 23
Figure 23. Figure 23: FIG. 23. Spread of the four-body invariant-mass for different hadron momenta in the case of correctly identified hadrons (red [PITH_FULL_IMAGE:figures/full_fig_p017_23.png] view at source ↗
Figure 24
Figure 24. Figure 24: FIG. 24. Level of contamination for the three rare decays [PITH_FULL_IMAGE:figures/full_fig_p018_24.png] view at source ↗
Figure 26
Figure 26. Figure 26: FIG. 26. Level of contamination across the dimuon invariant-mass squared assuming uniform [PITH_FULL_IMAGE:figures/full_fig_p019_26.png] view at source ↗
read the original abstract

The correct identification of charged hadrons plays a crucial role in flavor-physics measurements. The final detector configurations at the proposed Future Circular Collider are yet to be determined and this study aims to contribute to this discussion by benchmarking the particle-identification (PID) performance of the proposed CLD and IDEA detectors using fully simulated events. At present, neither detector proposal includes dedicated PID systems, relying instead on information from the tracking subsystems. We estimate the expected level of contamination due to misidentified charged hadrons for $b$-flavor tagging, rare $b\to s$ transitions, and $s$-jet tagging. The PID information provided by silicon trackers, namely time-of-flight and energy-deposit measurements, leads to significant background suppression with high signal efficiency for the low-momentum hadrons considered for same-side $b$-flavor tagging. In order to improve the contamination in rare decays where momenta are in the medium range, only good timing resolution of 30ps and below can yield an improvement of one order of magnitude below the level achieved by kinematic criteria alone. Light-quark jet-flavor tagging requires identification of particles with very large momentum, which is not possible using only time-of-flight or energy-deposit information in silicon. Access to the number of clusters in a drift-chamber setup, as proposed for the IDEA detector however, results in strong background suppression in every case. This suppression can be further improved in some scenarios by time-of-flight resolution of 30-50ps or better. The PID quality generally exhibits only a small dependence on the cluster-counting efficiency. Whether dedicated PID detectors could further enhance flavor-physics sensitivity should be the subject of future study.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 3 minor

Summary. The manuscript benchmarks the particle-identification performance of the proposed CLD and IDEA detector concepts at the FCC-ee using fully simulated events. It focuses on tracker-derived information (time-of-flight, energy deposit, and cluster counting) for suppressing misidentified charged hadrons in three flavor-physics contexts: same-side b-flavor tagging at low momentum, rare b to s transitions at medium momentum, and s-jet tagging at high momentum. The central claims are that tracker PID yields significant background suppression with high signal efficiency for low-momentum hadrons, that a timing resolution of 30 ps or better is required to achieve an order-of-magnitude improvement over kinematic criteria alone in the medium-momentum regime, and that cluster counting in the IDEA drift chamber provides strong suppression for high-momentum particles where ToF and dE/dx are ineffective.

Significance. If the simulation results hold, the work provides concrete quantitative benchmarks that can inform the final tracker and timing specifications for the FCC-ee detectors, particularly by identifying the 30 ps timing target and the value of cluster counting for flavor-physics reach. The use of fully simulated events for two distinct detector geometries and the direct comparison against kinematic baselines are positive features that make the estimates reproducible and falsifiable within the simulation framework.

major comments (2)
  1. [Simulation and reconstruction section] Simulation and reconstruction section: the misidentification matrices and contamination levels for medium-momentum hadrons rest entirely on Monte Carlo modeling of ToF, dE/dx, and cluster-counting response for the CLD and IDEA geometries; because no test-beam or prototype calibration data are referenced for the tails of these distributions, the precise 30 ps timing threshold required for an order-of-magnitude improvement over kinematics alone carries unquantified systematic uncertainty.
  2. [Results for rare b to s transitions] Results for rare b to s transitions: the quoted improvement factors and the statement that only timing resolutions of 30 ps and below yield the desired suppression are presented without propagated uncertainties from variations in cluster-counting efficiency or timing resolution modeling; this makes the central performance claim sensitive to the unvalidated simulation assumptions highlighted in the skeptic note.
minor comments (3)
  1. [Abstract] The abstract states that cluster counting 'results in strong background suppression in every case' but does not quantify the residual contamination levels or the kinematic baseline values for direct comparison.
  2. [Figures and captions] Figure captions and text should explicitly state the assumed timing resolution values (e.g., 30 ps, 50 ps) used to generate each performance curve rather than leaving them implicit.
  3. [Methods] A short discussion of how the kinematic selection criteria were defined and optimized would help readers assess whether the reported PID gains are measured against a competitive baseline.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for the positive assessment of our work and for the constructive major comments. We respond to each point below and indicate the revisions we plan to make.

read point-by-point responses
  1. Referee: [Simulation and reconstruction section] Simulation and reconstruction section: the misidentification matrices and contamination levels for medium-momentum hadrons rest entirely on Monte Carlo modeling of ToF, dE/dx, and cluster-counting response for the CLD and IDEA geometries; because no test-beam or prototype calibration data are referenced for the tails of these distributions, the precise 30 ps timing threshold required for an order-of-magnitude improvement over kinematics alone carries unquantified systematic uncertainty.

    Authors: We fully agree that the PID performance estimates rely on Monte Carlo modeling without reference to test-beam or prototype data for the tails of the distributions. As this is a benchmark study for proposed future detectors, such data do not yet exist. In the revised version, we will expand the simulation and reconstruction section to include a discussion of the modeling assumptions, the expected range of systematic uncertainties, and the need for future validation with prototypes. We will also qualify the 30 ps threshold as a simulation-derived target. revision: partial

  2. Referee: [Results for rare b to s transitions] Results for rare b to s transitions: the quoted improvement factors and the statement that only timing resolutions of 30 ps and below yield the desired suppression are presented without propagated uncertainties from variations in cluster-counting efficiency or timing resolution modeling; this makes the central performance claim sensitive to the unvalidated simulation assumptions highlighted in the skeptic note.

    Authors: We accept this criticism. The current manuscript presents central values without explicit uncertainty propagation or sensitivity studies. We will revise the results section for rare b to s transitions to include sensitivity plots or tables showing how the improvement factors vary with timing resolution and cluster-counting efficiency. This will better illustrate the robustness of the performance claims under variations in the simulation parameters. revision: yes

standing simulated objections not resolved
  • The absence of test-beam or prototype calibration data for validating the tails of the ToF, dE/dx, and cluster-counting distributions, which is not feasible at this stage for the proposed FCC-ee detector concepts.

Circularity Check

0 steps flagged

No circularity: results derived from independent Monte Carlo simulation

full rationale

The paper obtains its quantitative claims on background suppression, misidentification rates, and the 30 ps timing threshold directly from fully simulated detector response for the CLD and IDEA geometries. No equation or performance metric is shown to equal its own input by construction, no fitted parameter is relabeled as a prediction, and no uniqueness theorem or ansatz is imported via self-citation to force the conclusions. The comparison against kinematic criteria alone is an external benchmark computed within the same simulation framework, rendering the derivation self-contained rather than tautological.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claims rest on standard assumptions about Monte Carlo event generation and detector response modeling rather than new free parameters or invented entities. No explicit free parameters are introduced in the abstract; the timing resolutions (30 ps, 30-50 ps) are treated as target performance values rather than fitted quantities.

axioms (1)
  • domain assumption Fully simulated events accurately model the real detector response for time-of-flight, energy deposits, and cluster counting in the proposed CLD and IDEA trackers.
    Invoked throughout the benchmarking of misidentification rates for the three flavor channels.

pith-pipeline@v0.9.0 · 5831 in / 1557 out tokens · 41288 ms · 2026-05-21T18:00:31.788028+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

61 extracted references · 61 canonical work pages · 16 internal anchors

  1. [1]

    When considering for example B0 s →K +K −µ+µ− as the signal decay, the four-body invariant-mass of true signal candidates accumulates in a peak at the nominalB 0 s mass

    Fully-visible final-states For fully-visible final-states, the four-body invariant- mass is a helpful discriminator between differ- entb-hadrons. When considering for example B0 s →K +K −µ+µ− as the signal decay, the four-body invariant-mass of true signal candidates accumulates in a peak at the nominalB 0 s mass. The shape and width of the peak are a con...

  2. [2]

    Figure 11 shows the resulting contamination without the kinematic selections

    Final-states with neutrinos For semi-visible decays such asH b →h + 1 h− 2 νℓνℓ, no windows around the signal and background masses can be defined leading to contaminations that are three orders of magnitude larger than in the fully-visible case. Figure 11 shows the resulting contamination without the kinematic selections. The improvements achieved throug...

  3. [3]

    Future Circular Collider Feasibility Study Report: Volume 1, Physics, Experiments, Detectors

    M. Benediktet al.(FCC), Future Circular Collider Fea- sibility Study Report: Volume 1, Physics, Experiments, Detectors (2025), arXiv:2505.00272 [hep-ex]

  4. [4]

    Altmannshofer et al

    W. Altmannshoferet al.(Belle-II), The Belle II Physics Book, PTEP2019, 123C01 (2019), [Erratum: PTEP 2020, 029201 (2020)], arXiv:1808.10567 [hep-ex]

  5. [5]

    Viehhauseret al.,Detectors in particle physics: a modern introduction(CRC Press, 2024)

    G. Viehhauseret al.,Detectors in particle physics: a modern introduction(CRC Press, 2024)

  6. [6]

    Ricci, Study of maps silicon detector prototypes for the alice inner tracking system upgrade (2024)

    R. Ricci, Study of maps silicon detector prototypes for the alice inner tracking system upgrade (2024)

  7. [7]

    Bacchettaet al., CLD – A Detector Concept for the FCC-ee (2019), arXiv:1911.12230 [physics.ins-det]

    N. Bacchettaet al., CLD – A Detector Concept for the FCC-ee (2019), arXiv:1911.12230 [physics.ins-det]

  8. [8]

    Abbresciaet al.(IDEA Study Group), The IDEA detector concept for FCC-ee (2025), arXiv:2502.21223 [physics.ins-det]

    M. Abbresciaet al.(IDEA Study Group), The IDEA detector concept for FCC-ee (2025), arXiv:2502.21223 [physics.ins-det]

  9. [9]

    J. Pekkanen, ALLEGRO FCC-ee detector concept & No- ble liquid calorimetry, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrome- ters, Detectors and Associated Equipment1069, 169921 (2024)

  10. [10]

    Ganiset al.(Key4hep), Key4hep, a framework for future HEP experiments and its use in FCC, Eur

    G. Ganiset al.(Key4hep), Key4hep, a framework for future HEP experiments and its use in FCC, Eur. Phys. J. Plus137, 149 (2022), arXiv:2111.09874 [hep-ex]

  11. [11]

    Heijhoffet al., Timing performance of the lhcb velo timepix3 telescope, Journal of Instrumentation15(09), P09035

    K. Heijhoffet al., Timing performance of the lhcb velo timepix3 telescope, Journal of Instrumentation15(09), P09035

  12. [12]

    Hayrapetyanet al.(CMS), Operation and per- formance of the CMS silicon strip tracker with proton-proton collisions at the CERN LHC (2025), arXiv:2506.17195 [physics.ins-det]

    A. Hayrapetyanet al.(CMS), Operation and per- formance of the CMS silicon strip tracker with proton-proton collisions at the CERN LHC (2025), arXiv:2506.17195 [physics.ins-det]

  13. [13]

    F. Cunaet al., Simulation of particle identification with the cluster counting technique, inInternational Work- shop on Future Linear Colliders(2021) arXiv:2105.07064 [physics.ins-det]

  14. [14]

    Track Momentum Resolution at LHCb in 2024 (2024)

  15. [15]

    Agostinelliet al.(GEANT4), GEANT4 - A Simulation Toolkit, Nucl

    S. Agostinelliet al.(GEANT4), GEANT4 - A Simulation Toolkit, Nucl. Instrum. Meth. A506, 250 (2003)

  16. [16]

    Allisonet al., Geant4 developments and applications, IEEE Trans

    J. Allisonet al., Geant4 developments and applications, IEEE Trans. Nucl. Sci.53, 270 (2006)

  17. [17]

    J. Allisonet al., Recent developments in geant4, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment835, 186 (2016)

  18. [18]

    FCC-config: Configuration files for the fcc event- processing chain (2025)

  19. [19]

    Collaboration, CLDConfig: Configuration repository for the cld detector model in the key4hep stack (2025)

    K. Collaboration, CLDConfig: Configuration repository for the cld detector model in the key4hep stack (2025)

  20. [20]

    Chen and C

    T. Chen and C. Guestrin, Xgboost: A scalable tree boost- ing system, inProceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, KDD ’16 (ACM, 2016) p. 785–794

  21. [21]

    Aaijet al.(LHCb), Updated measurement of time- dependent CP-violating observables inB 0 s →J/ ψK+K − decays, Eur

    R. Aaijet al.(LHCb), Updated measurement of time- dependent CP-violating observables inB 0 s →J/ ψK+K − decays, Eur. Phys. J. C79, 706 (2019), [Erratum: Eur.Phys.J.C 80, 601 (2020)], arXiv:1906.08356 [hep-ex]

  22. [22]

    $B$ flavour tagging using charm decays at the LHCb experiment

    R. Aaijet al.(LHCb),bflavour tagging using charm de- cays at the LHCb experiment, JINST10(10), P10005, arXiv:1507.07892 [hep-ex]

  23. [23]

    New algorithms for identifying the flavour of $B^0$ mesons using pions and protons

    R. Aaijet al.(LHCb), New algorithms for identifying the flavour ofB 0 mesons using pions and protons, Eur. Phys. 20 J. C77, 238 (2017), arXiv:1610.06019 [hep-ex]

  24. [24]

    A new algorithm for identifying the flavour of $B_s^0$ mesons at LHCb

    R. Aaijet al.(LHCb), A new algorithm for identifying the flavour ofB 0 s mesons at LHCb, JINST11(05), P05010, arXiv:1602.07252 [hep-ex]

  25. [25]

    Abudin´ enet al.(Belle-II),b-flavor tagging at Belle II, Eur

    F. Abudin´ enet al.(Belle-II),b-flavor tagging at Belle II, Eur. Phys. J. C82, 283 (2022), arXiv:2110.00790 [hep- ex]

  26. [26]

    Hayrapetyanet al.(CMS), Angular analysis of the B0 →K ∗0(892)µ+µ− decay in proton-proton collisions at √s= 13 TeV, Phys

    A. Hayrapetyanet al.(CMS), Angular analysis of the B0 →K ∗0(892)µ+µ− decay in proton-proton collisions at √s= 13 TeV, Phys. Lett. B864, 139406 (2025), arXiv:2411.11820 [hep-ex]

  27. [27]

    Lepton-Flavor-Dependent Angular Analysis of $B\to K^\ast \ell^+\ell^-$

    S. Wehleet al.(Belle), Lepton-flavor-dependent angular analysis ofB→K ∗ℓ+ℓ−, Phys. Rev. Lett.118, 111801 (2017), arXiv:1612.05014 [hep-ex]

  28. [28]

    Angular analysis of $B^0_d \rightarrow K^{*}\mu^+\mu^-$ decays in $pp$ collisions at $\sqrt{s}= 8$ TeV with the ATLAS detector

    M. Aaboudet al.(ATLAS), Angular analysis of B0 d →K ∗µ+µ− decays inppcollisions at √s= 8 TeV with the ATLAS detector, JHEP10, 047 (2018), arXiv:1805.04000 [hep-ex]

  29. [29]

    Aaij et al

    R. Aaijet al.(LHCb), Measurement ofC P-averaged ob- servables in theB 0 →K ∗0µ+µ− decay, Phys. Rev. Lett. 125, 011802 (2020), arXiv:2003.04831 [hep-ex]

  30. [30]

    Differential branching fraction and angular analysis of the decay $B_s^0\to\phi\mu^{+}\mu^{-}$

    R. Aaijet al.(LHCb), Differential branching fraction and angular analysis of the decayB 0 s →ϕµ +µ−, JHEP07, 084 (2013), arXiv:1305.2168 [hep-ex]

  31. [31]

    Angular analysis and differential branching fraction of the decay $B^0_s\to\phi\mu^+\mu^-$

    R. Aaijet al.(LHCb), Angular analysis and differential branching fraction of the decayB 0 s →ϕµ +µ−, JHEP09, 179 (2015), arXiv:1506.08777 [hep-ex]

  32. [32]

    Aaij et al

    R. Aaijet al.(LHCb), Branching fraction measurements of the rareB 0 s →ϕµ +µ− andB 0 s →f ′ 2(1525)µ+µ− decays, Phys. Rev. Lett.127, 151801 (2021), arXiv:2105.14007 [hep-ex]

  33. [33]

    Differential branching fractions and isospin asymmetries of $B \to K^{(*)}\mu^{+}\mu^{-}$ decays

    R. Aaijet al.(LHCb), Differential branching fractions and isospin asymmetries ofB 0 →K (∗)µ+µ− decays, JHEP06, 133 (2014), arXiv:1403.8044 [hep-ex]

  34. [34]

    Aaij et al

    R. Aaijet al.(LHCb), Angular analysis of the B+ →K ∗+µ+µ− decay, Phys. Rev. Lett.126, 161802 (2021), arXiv:2012.13241 [hep-ex]

  35. [35]

    Aaijet al.(LHCb), Amplitude analysis of the B0 →K ∗0µ+µ− decay, Phys

    R. Aaijet al.(LHCb), Amplitude analysis of the B0 →K ∗0µ+µ− decay, Phys. Rev. Lett.132, 131801 (2024), arXiv:2312.09115 [hep-ex]

  36. [36]

    Aaijet al.(LHCb), Comprehensive analysis of local and nonlocal amplitudes in theB 0 →K ∗0µ+µ− decay, JHEP09, 026 (2024), arXiv:2405.17347 [hep-ex]

    R. Aaijet al.(LHCb), Comprehensive analysis of local and nonlocal amplitudes in theB 0 →K ∗0µ+µ− decay, JHEP09, 026 (2024), arXiv:2405.17347 [hep-ex]

  37. [37]

    Hayrapetyanet al.(CMS), Test of lepton flavor uni- versality inB ± →K ±µ+µ− andB ± →K ±e+e− decays in proton-proton collisions at √s= 13 TeV, Rept

    A. Hayrapetyanet al.(CMS), Test of lepton flavor uni- versality inB ± →K ±µ+µ− andB ± →K ±e+e− decays in proton-proton collisions at √s= 13 TeV, Rept. Prog. Phys.87, 077802 (2024), arXiv:2401.07090 [hep-ex]

  38. [38]

    J. P. Leeset al.(BaBar), Measurement of branch- ing fractions and rate asymmetries in the rare de- caysB→K (∗)ℓ+ℓ−, Phys. Rev.D86, 032012 (2012), arXiv:1204.3933 [hep-ex]

  39. [39]

    Choudhuryet al.(Belle), Test of lepton flavor univer- sality and search for lepton flavor violation inB→Kℓℓ decays, JHEP03, 105 (2021), arXiv:1908.01848 [hep-ex]

    S. Choudhuryet al.(Belle), Test of lepton flavor univer- sality and search for lepton flavor violation inB→Kℓℓ decays, JHEP03, 105 (2021), arXiv:1908.01848 [hep-ex]

  40. [40]

    Test of lepton universality using $B^{+}\rightarrow K^{+}\ell^{+}\ell^{-}$ decays

    R. Aaijet al.(LHCb), Test of lepton universality us- ingB + →K +ℓ+ℓ− decays, Phys. Rev. Lett.113, 151601 (2014), arXiv:1406.6482 [hep-ex]

  41. [41]

    Test of lepton universality with $B^{0} \rightarrow K^{*0}\ell^{+}\ell^{-}$ decays

    R. Aaijet al.(LHCb), Test of lepton universality withB 0 →K ∗0ℓ+ℓ− decays, JHEP08, 055 (2017), arXiv:1705.05802 [hep-ex]

  42. [42]

    Aaij et al

    R. Aaijet al.(LHCb), Test of lepton universality usingΛ 0 b →pK −ℓ+ℓ− decays, JHEP05, 040 (2020), arXiv:1912.08139 [hep-ex]

  43. [43]

    18 (2022) 277 [ 2103.11769]

    R. Aaijet al.(LHCb), Test of lepton universality in beauty-quark decays, Nature Physics18, 277 (2022), arXiv:2103.11769 [hep-ex]

  44. [44]

    Aaij et al

    R. Aaijet al.(LHCb), Tests of lepton universality using B0 →K 0 Sℓ+ℓ− andB + →K ∗+ℓ+ℓ− decays, Phys. Rev. Lett.128, 191802 (2022), arXiv:2110.09501 [hep-ex]

  45. [45]

    Aaij et al

    R. Aaijet al.(LHCb), Measurement of lepton universality parameters inB + →K +ℓ+ℓ− and B0 →K ∗0ℓ+ℓ− decays, Phys. Rev.D108, 032002 (2023), arXiv:2212.09153 [hep-ex]

  46. [46]

    Aaij et al

    R. Aaijet al.(LHCb), Test of lepton universality in b→sℓ +ℓ− decays, Phys. Rev. Lett.131, 051803 (2023), arXiv:2212.09152 [hep-ex]

  47. [47]

    An Introduction to PYTHIA 8.2

    T. Sj¨ ostrandet al., An introduction to PYTHIA 8.2, Comput. Phys. Commun.191, 159 (2015), arXiv:1410.3012 [hep-ph]

  48. [48]

    D. J. Lange, The EvtGen particle decay simulation pack- age, Nucl. Instrum. Meth. A462, 152 (2001)

  49. [49]

    Aaijet al.(LHCb), Amplitude analysis of the radiative decayB 0 s →K +K −γ, JHEP08, 093, arXiv:2406.00235 [hep-ex]

    R. Aaijet al.(LHCb), Amplitude analysis of the radiative decayB 0 s →K +K −γ, JHEP08, 093, arXiv:2406.00235 [hep-ex]

  50. [50]

    Aaijet al.(LHCb), Amplitude analysis of the Λ0 b →pK −γdecay, JHEP06, 098, arXiv:2403.03710 [hep-ex]

    R. Aaijet al.(LHCb), Amplitude analysis of the Λ0 b →pK −γdecay, JHEP06, 098, arXiv:2403.03710 [hep-ex]

  51. [51]

    Observation of a new charged charmoniumlike state in B -> J/psi K pi decays

    K. Chilikinet al.(Belle), Observation of a new charged charmoniumlike state in ¯B0 →J/ ψK−π+ decays, Phys. Rev.D90, 112009 (2014), arXiv:1408.6457 [hep-ex]

  52. [52]

    Y. S. Amhiset al.(HFLAV), Averages of b-hadron, c- hadron, andτ-lepton properties as of 2018, Eur. Phys. J. C81, 226 (2021), arXiv:1909.12524 [hep-ex]

  53. [53]

    Fragmentation-fraction ratio $f_{\Xi_b}/f_{\Lambda_b}$ in $b$- and $c$-baryon decays

    H.-Y. Jiang and F.-S. Yu, Fragmentation-fraction ratio fΞb /fΛ0 b inb- andc-baryon decays, Eur. Phys. J. C78, 224 (2018), arXiv:1802.02948 [hep-ph]

  54. [54]

    T. H. Kwoket al., Time-Dependent Precision Mea- surement ofB 0 s →ϕµ +µ− Decay at FCC-ee (2025), arXiv:2506.08089 [hep-ph]

  55. [55]

    Becket al., Constraints on New Physics from de- cays of polarizedΛ 0 b baryons at the FCC-ee (2025), arXiv:2510.02225 [hep-ex]

    A. Becket al., Constraints on New Physics from de- cays of polarizedΛ 0 b baryons at the FCC-ee (2025), arXiv:2510.02225 [hep-ex]

  56. [56]

    Di Cantoet al., New opportunities for rare charm from Z→c cdecays (2025), arXiv:2509.10447 [hep-ph]

    A. Di Cantoet al., New opportunities for rare charm from Z→c cdecays (2025), arXiv:2509.10447 [hep-ph]

  57. [57]

    Amhiset al., Prospects for searches ofb→sν ℓνℓ de- cays at FCC-ee, JHEP01, 144, arXiv:2309.11353 [hep- ex]

    Y. Amhiset al., Prospects for searches ofb→sν ℓνℓ de- cays at FCC-ee, JHEP01, 144, arXiv:2309.11353 [hep- ex]

  58. [58]

    CEPC Conceptual Design Report: Volume 2 - Physics & Detector

    M. Donget al.(CEPC Study Group), CEPC Conceptual Design Report: Volume 2 - Physics & Detector (2018), arXiv:1811.10545 [hep-ex]

  59. [59]

    Abidiet al., FCC feasibility studies: Impact of tracker- and calorimeter-detector performance on jet flavor iden- tification and Higgs physics analyses, Phys

    H. Abidiet al., FCC feasibility studies: Impact of tracker- and calorimeter-detector performance on jet flavor iden- tification and Higgs physics analyses, Phys. Rev. D112, 052002 (2025), arXiv:2504.11103 [hep-ex]

  60. [60]

    Bedeschiet al., Jet flavour tagging for future colliders with fast simulation, Eur

    F. Bedeschiet al., Jet flavour tagging for future colliders with fast simulation, Eur. Phys. J. C82, 646 (2022), arXiv:2202.03285 [hep-ex]

  61. [61]

    Albertet al., Strange quark as a probe for new physics in the Higgs sector, inSnowmass 2021(2022) arXiv:2203.07535 [hep-ex]

    A. Albertet al., Strange quark as a probe for new physics in the Higgs sector, inSnowmass 2021(2022) arXiv:2203.07535 [hep-ex]