Recognition: 1 theorem link
· Lean TheoremAverages of b-hadron, c-hadron, and τ-lepton properties as of 2023
Pith reviewed 2026-05-16 22:27 UTC · model grok-4.3
The pith
This paper reports updated world averages for b-hadron, c-hadron, and tau-lepton properties from measurements before October 2023.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The paper reports world averages of measurements of b-hadron, c-hadron, and τ-lepton properties obtained by the Heavy Flavour Averaging Group using results available before October 2023. In rare cases, significant results obtained several months later are also used. For the averaging, common input parameters used in the various analyses are adjusted to common values, and known correlations are taken into account. The averages include branching fractions, lifetimes, neutral meson mixing parameters, CP violation parameters, parameters of semileptonic decays, and Cabibbo-Kobayashi-Maskawa matrix elements.
What carries the argument
The averaging procedure that rescales common input parameters to agreed reference values while accounting for correlations between experimental measurements.
Load-bearing premise
All relevant correlations between the input experimental measurements have been correctly identified and the rescaling of common parameters to agreed reference values does not introduce bias into the final averages.
What would settle it
A new independent analysis of the underlying experimental data that produces averages differing significantly from those reported here, for example in the tau lepton lifetime or a specific branching fraction, would indicate that the current world averages are not accurate.
read the original abstract
This paper reports world averages of measurements of $b$-hadron, $c$-hadron, and $\tau$-lepton properties obtained by the Heavy Flavour Averaging Group using results available before October 2023. In rare cases, significant results obtained several months later are also used. For the averaging, common input parameters used in the various analyses are adjusted (rescaled) to common values, and known correlations are taken into account. The averages include branching fractions, lifetimes, neutral meson mixing parameters, CP violation parameters, parameters of semileptonic decays, and Cabibbo-Kobayashi-Maskawa matrix elements.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. This paper reports world averages of b-hadron, c-hadron, and τ-lepton properties compiled by the Heavy Flavour Averaging Group from experimental results available before October 2023 (with rare later inclusions). Common input parameters are rescaled to agreed reference values and known correlations are incorporated. The averages cover branching fractions, lifetimes, neutral meson mixing and CP violation parameters, semileptonic decay parameters, and CKM matrix elements.
Significance. If the input measurements and correlations are faithfully represented, these averages constitute an essential, regularly updated reference for the flavor physics community. They enable consistent inputs for precision tests of the Standard Model, CKM fits, and new-physics searches, building directly on the long-established HFAG methodology of rescaling shared parameters and accounting for correlations.
minor comments (2)
- The abstract states that 'in rare cases, significant results obtained several months later are also used'; a brief footnote or sentence in §1 identifying the specific results and the cutoff date would improve transparency without altering the central claim.
- Tables listing the final averages would benefit from an explicit column or footnote indicating the number of input measurements and the dominant correlation sources for each entry, to allow readers to assess the robustness of the quoted uncertainties at a glance.
Simulated Author's Rebuttal
We thank the referee for the careful review and for recommending acceptance of the manuscript. The referee's summary accurately reflects the scope, methodology, and importance of the HFAG world averages.
Circularity Check
No significant circularity in the averaging procedure
full rationale
The paper compiles world averages from independent experimental measurements of b-hadron, c-hadron, and τ-lepton properties. It adjusts common input parameters to agreed external reference values and incorporates reported correlations using established HFAG statistical procedures. No derivation step reduces by construction to a fitted parameter, self-defined quantity, or load-bearing self-citation; the inputs are external data and the output is a weighted average that does not presuppose its own results. The procedure is self-contained against external benchmarks.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Input measurements are unbiased and their reported uncertainties and correlations are accurate.
Lean theorems connected to this paper
-
IndisputableMonolith.Foundation.PhiForcing, IndisputableMonolith.Foundation.DimensionForcing, IndisputableMonolith.Cost.FunctionalEquationreality_from_one_distinction, washburn_uniqueness_aczel, hierarchy_emergence_forces_phi unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
This paper reports world averages of measurements of b-hadron, c-hadron, and τ-lepton properties obtained by the Heavy Flavour Averaging Group using results available before October 2023... The averages include branching fractions, lifetimes, neutral meson mixing parameters, CP violation parameters, parameters of semileptonic decays, and Cabibbo-Kobayashi-Maskawa matrix elements.
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.
Forward citations
Cited by 18 Pith papers
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Evidence for the decay $B^0_s\to\phi\eta'$
First evidence for B_s^0 to phi eta-prime decay with relative branching ratio (3.56 ± 0.79 ± 0.18 ± 0.06) x 10^{-2} and absolute branching fraction (0.66 ± 0.15 ± 0.03 ± 0.02) x 10^{-6}.
-
First evidence of the $B_s^0\rightarrow K^-\pi^+\gamma$ decay
LHCb reports the first experimental evidence for the Bs0 to K- pi+ gamma decay with 3.5 sigma significance and measures its branching fraction ratio to the B0 decay in two mass ranges.
-
Unbinned extraction of $\gamma$ from $B\to DK$ with normalizing flows
Normalizing flows trained on D decay data create a continuous unbinned model of Dalitz plot amplitudes, allowing extraction of gamma from B decay data with successful recovery of injected values in Monte Carlo tests.
-
Precise measurement of the CKM angle $\gamma$ with a novel approach
A joint fit to LHCb B to D h decays and BESIII quantum-correlated D Dbar data yields gamma = 71.3 plus or minus 5.0 degrees, the most precise measurement to date.
-
Measurement of the CKM angle $\gamma$ in $B^{\pm} \rightarrow D(\rightarrow K^{0}_{\rm S} h^{\prime+}h^{\prime-})h^{\pm}$ decays with a novel approach
A novel model-independent approach with per-event phase-space weights on combined BESIII and LHCb data measures the CKM angle γ as (71.3 ± 5.0)° in B± → D(→ K0S h'+h'-) h± decays.
-
Probing New Physics and CP Violation in $\nu_\tau n \to \Lambda_c \tau^- (\pi^- \nu_\tau)$ and $\bar\nu_\tau p \to \Lambda \tau^+ (\pi^+ \bar\nu_\tau)$
An azimuthal asymmetry in the pion from tau decays in specific neutrino-hyperon processes provides a CP-odd signal for beyond-Standard-Model physics encoded in dimension-six operators.
-
New Predictions for the Lifetimes of Doubly Heavy Baryons and the $B_c$ Meson
Updated lifetime predictions for doubly heavy baryons and B_c meson with NNLO and NLO corrections in MS-bar, kinetic, and Upsilon mass schemes, including new hierarchies for bc states.
-
Real and Complex Singlet-Scalar Benchmarks with a Vector-Like Down Quark for $B\to X_s\gamma$ and $B_s-\bar B_s$ Mixing
In minimal benchmarks with a vector-like down quark D and singlet scalar, the new-physics contribution to B to X_s gamma is only 0.4 percent of the Standard Model value at TeV scales, while B_s mixing imposes stronger...
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New insights into the $b\rightarrow c \bar{u}q$ puzzle through Top-Bottom synergies
Anomalies in b to c u-bar q transitions remain puzzling as proposed new physics scenarios involving SU(2) doublets are not significantly relaxed by collider dilution or factorization breakdown.
-
$\bar B\to D^{(*)}\ell\bar \nu$ Branching Ratios and Evidence for Isospin Breaking in $\Upsilon(4S)$ Decays
A combined fit to B to D(*) l nu data yields R^{±0}=1.062(19) as evidence for isospin violation in Υ(4S) decays and branching fractions up to 1.6σ larger than prior averages, addressing inconsistencies in V_cb extractions.
-
$B_c$ meson decays into $S$-wave charmonium plus light meson pairs in the perturbative QCD approach
pQCD calculations predict ~90% longitudinal polarization in B_c to J/psi or psi(2S) plus rho or K* mediated light meson pairs, with one branching ratio ratio matching LHCb at 2.67 vs 2.80.
-
$C\!P$ violation analysis of local and nonlocal amplitudes in the $\overline{B}^0 \to \overline{K}^{*0}\mu^+\mu^-$ decay
LHCb measures CP-violating Wilson coefficients in B0 -> K*0 mu+ mu- with higher precision than before and finds results consistent with the Standard Model.
-
CP asymmetries in charged meson decay to two pions
CP asymmetries for B+ to pi+ pi0, D+ to pi+ pi0, and K+ to pi+ pi0 are estimated in the Standard Model at roughly 3 times 10 to the -3, 10 to the -5, and 10 to the -6 using a unified formalism for isospin violation.
-
Closing the knowledge gap in semileptonic $B\rightarrow X_c\ell\nu$ decays
The unmeasured fraction of inclusive semileptonic B to charm decays is dominated by final states without D mesons, likely from baryons and Ds mesons.
-
Measurement of the branching fractions and longitudinal polarisations of $B^0_{(s)} \to K^{*0} \kern 0.18em \overline{\kern -0.18em K}{}^{*0}$ decays
LHCb measures f_L^d = 0.600 and f_L^s = 0.159 for B to K* Kbar* decays and reports a ratio L of 4.92 that confirms 4.4 sigma discrepancy with theory.
-
Review of experimental studies of charmed meson decays at BESIII
A review of BESIII charmed meson decay studies presents the most precise averages for |V_cs|, |V_cd|, D and D_s decay constants, and several hadronic form factors from combined experimental results.
-
Leptonic and semileptonic charm decays at BESIII
BESIII presents measurements of branching fractions, |V_cs|, |V_cd|, decay constants, form factors, and lepton flavor universality tests in charmed decays.
-
Flavour Physics beyond the LHC
The next two decades of flavour physics will be dominated by LHCb and Belle II data, with an e+e- collider potentially adding precision through Z, W+W-, and ttbar runs.
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discussion (0)
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