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A model-agnostic likelihood for the reinterpretation of the $\boldsymbol{B^{+}\to K^{+} ν\barν}$ measurement at Belle II

The Belle-II collaboration Abumusabh, Merna ; Adachi, Ichiro ; Aggarwal, Latika ; et al.
Belle II Preprint 2025-021 KEK Preprint 2025-20, 2025.
Inspire Record 2947386 DOI 10.17182/hepdata.166082

We recently measured the branching fraction of the $B^{+}\rightarrow K^{+}ν\barν$ decay using 362 fb$^{-1}$ of on-resonance $e^+e^-$ collision data, under the assumption of Standard Model kinematics, providing the first evidence for this decay. To facilitate future reinterpretations and maximize the scientific impact of this measurement, we hereby publicly release the full analysis likelihood along with all necessary material required for reinterpretation under arbitrary theoretical models sensitive to this measurement. In this work, we demonstrate how the measurement can be reinterpreted within the framework of the Weak Effective Theory. Using a kinematic reweighting technique in combination with the published likelihood, we derive marginal posterior distributions for the Wilson coefficients, construct credible intervals, and assess the goodness of fit to the Belle II data. For the Weak Effective Theory Wilson coefficients, the posterior mode of the magnitudes $|C_\mathrm{VL}+C_\mathrm{VR}|$, $|C_\mathrm{SL}+C_\mathrm{SR}|$, and $|C_\mathrm{TL}|$ corresponds to the point ${(11.3, 0.00, 8.21)}$. The respective 95% credible intervals are $[1.86, 16.2]$, $[0.00, 15.4]$, and $[0.00, 11.2]$.

2 data tables

The joint number density useful for reinterpretation in terms of new physics models (https://arxiv.org/abs/2402.08417). This is a 2d histogram of the ITA signal samples, combining both regions B (bins of $\eta(\rm{BDT}_2) \in [0.92, 0.94]$), binned in the kinematic variable $q^{2}_{\rm{gen}}$ and the fitting variables $q^{2}_{\rm{rec}} \times \eta(\rm{BDT}_2)$ (flattened).

The joint number density useful for reinterpretation in terms of new physics models (https://arxiv.org/abs/2402.08417). This is a 2d histogram of the HTA signal samples, binned in the kinematic variable $q^{2}_{\rm{gen}}$ and the fitting variable $\eta(\rm{BDTh})$.


Search for lepton flavor-violating decay modes $B^0 \to K^{\ast 0}\tau^\pm\ell^\mp$ ($\ell = e,\mu$) with hadronic B-tagging at Belle and Belle II

The Belle-II & Belle collaborations Adachi, I. ; Ahn, Y. ; Aihara, H. ; et al.
Belle II preprint: 2025-014, 2025.
Inspire Record 2920672 DOI 10.17182/hepdata.159492

We present the results of a search for the charged-lepton-flavor violating decays $B^0 \rightarrow K^{*0}\tau^\pm \ell^{\mp}$, where $\ell^{\mp}$ is either an electron or a muon. The results are based on 365 fb$^{-1}$ and 711 fb$^{-1}$ datasets collected with the Belle II and Belle detectors, respectively. We use an exclusive hadronic $B$-tagging technique, and search for a signal decay in the system recoiling against a fully reconstructed $B$ meson. We find no evidence for $B^0 \rightarrow K^{*0}\tau^\pm \ell^{\mp}$ decays and set upper limits on the branching fractions in the range of $(2.9-6.4)\times10^{-5}$ at 90% confidence level.

72 data tables

$M_{\tau}$ distribution in signal region, (OS$e$, Belle)

$M_{\tau}$ distribution in signal region, (OS$e$, Belle II)

$M_{\tau}$ distribution in signal region, (OS$\mu$, Belle)

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Search for $B^0 \to K^{\ast 0} \tau^+ \tau^-$ decays at the Belle II experiment

The Belle-II collaboration Adachi, I. ; Adamczyk, K. ; Aggarwal, L. ; et al.
Phys.Rev.Lett. 135 (2025) 151801, 2025.
Inspire Record 2911582 DOI 10.17182/hepdata.159541

We present a search for the rare flavor-changing neutral-current decay $B^0 \to K^{\ast 0} \tau^+ \tau^-$ with data collected by the Belle II experiment at the SuperKEKB electron-positron collider. The analysis uses a 365 fb$^{-1}$ data sample recorded at the center-of-mass energy of the $\Upsilon(4S)$ resonance. One of the $B$ mesons produced in the $\Upsilon(4S)\to B^0 \bar{B}^0$ process is fully reconstructed in a hadronic decay mode, while its companion $B$ meson is required to decay into a $K^{\ast 0}$ and two $\tau$ leptons of opposite charge. The $\tau$ leptons are reconstructed in final states with a single electron, muon, charged pion or charged $\rho$ meson, and additional neutrinos. We set an upper limit on the branching ratio of $BR(B^0 \to K^{\ast 0} \tau^+ \tau^-) < 1.8 \times 10^{-3}$ at the 90% confidence level, which is the most stringent constraint reported to date.

4 data tables

- - - - - - - - Overview of HEPData Record - - - - - - - -<br/><br/></ul><b>Post-fit yields:</b><ul><li><a href="159541?version=1&table=Postfit%20yields:%20fit%20variable">Fit variable $\eta(\rm{BDT})$</a></ul><b>Signal $q^{2}$:</b><ul><li><a href="159541?version=1&table=Generated%20$q^2$"> Generated $q^{2}$ distribution </a></ul><b>Signal selection efficiency:</b><ul><li><a href="159541?version=1&table=Selection%20efficiency"> Selection efficieny in signal region </a>

Observed yields and fit results in bins of $\eta(\rm{BDT})$ as obtained by the fit on the four signal categories, corresponding to an integrated luminosity of 365 fb$^{-1}$. The yields are shown for $B^0 \rightarrow K^{\ast 0}\tau\tau$ signal and the two background components ($B\bar{B}$ decays and $q\bar{q}$ continuum).

Distribution of the di-tau invariant mass squared $q^2$ assumed for the generated signal $B^0 \rightarrow K^{\ast 0}\tau\tau$ events.

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Measurement of the top quark mass with the ATLAS detector using $t\bar{t}$ events with a high transverse momentum top quark

The ATLAS collaboration Aad, G. ; Aakvaag, E. ; Abbott, B. ; et al.
Phys.Lett.B 867 (2025) 139608, 2025.
Inspire Record 2894561 DOI 10.17182/hepdata.158358

The mass of the top quark is measured using top-antitop-quark pair events with high transverse momentum top quarks. The dataset, collected with the ATLAS detector in proton--proton collisions at $\sqrt{s}=13$ TeV delivered by the Large Hadron Collider, corresponds to an integrated luminosity of 140 fb$^{-1}$. The analysis targets events in the lepton-plus-jets decay channel, with an electron or muon from a semi-leptonically decaying top quark and a hadronically decaying top quark that is sufficiently energetic to be reconstructed as a single large-radius jet. The mean of the invariant mass of the reconstructed large-radius jet provides the sensitivity to the top quark mass and is simultaneously fitted with two additional observables to reduce the impact of the systematic uncertainties. The top quark mass is measured to be $m_t = 172.95 \pm 0.53$ GeV, which is the most precise ATLAS measurement from a single channel.

6 data tables

Values and uncertainties for the parameters of interest in the profile likelihood fit to $\overline{m_J}$, $m_{jj}$, and $m_{tj}$ using data. The parameters of interest are the top quark mass, $m_t$, and the ratio of the measured cross-section to the Standard Model expectation of the $t\bar{t}$ cross-section, $\mu$.

Post-fit central values and uncertaintes for the nuisance parameters (including MC stat uncertainty terms) used in the profile likelihood fit to $\overline{m_J}$, $m_{jj}$, and $m_{tj}$ using data.

Covariance matrix for the profile likelihood fit to $\overline{m_J}$, $m_{jj}$, and $m_{tj}$ using data.

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Measurement of the $e^+e^- \to \pi^+\pi^-\pi^0$ cross section in the energy range 0.62-3.50 GeV at Belle II

The Belle-II collaboration Adachi, I. ; Aggarwal, L. ; Aihara, H. ; et al.
Phys.Rev.D 110 (2024) 112005, 2024.
Inspire Record 2775022 DOI 10.17182/hepdata.155340

We report a measurement of the $e^+e^- \to \pi^+\pi^-\pi^0$ cross section in the energy range from 0.62 to 3.50 GeV using an initial-state radiation technique. We use an $e^+e^-$ data sample corresponding to 191 $\text{fb}^{-1}$ of integrated luminosity, collected at a center-of-mass energy at or near the $\Upsilon{(4S)}$ resonance with the Belle II detector at the SuperKEKB collider. Signal yields are extracted by fitting the two-photon mass distribution in $e^+e^- \to \pi^+\pi^-\pi^0\gamma$ events, which involve a $\pi^0 \to \gamma\gamma$ decay and an energetic photon radiated from the initial state. Signal efficiency corrections with an accuracy of 1.6% are obtained from several control data samples. The uncertainty on the cross section at the $\omega$ and $\phi$ resonances is dominated by the systematic uncertainty of 2.2%. The resulting cross sections in the 0.62-1.80 GeV energy range yield $ a_\mu^{3\pi} = [48.91 \pm 0.23~(\mathrm{stat}) \pm 1.07~(\mathrm{syst})] \times 10^{-10} $ for the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment. This result differs by $2.5$ standard deviations from the most precise current determination.

5 data tables

Energy bin range ($\sqrt{s'}$), number of events after unfolding ($N_{\mathrm{unf}}$), corrected efficiency ($\varepsilon$), and cross section ($\sigma_{3\pi}$) for $e^{+}e^{-} \to \pi^{+} \pi^{-} \pi^{0}$ in energy range 0.62--1.05~GeV. The two uncertainties in the cross section are the statistical and systematic contributions. The statistical uncertainties for the unfolding and cross section are square roots of the diagonal components of the unfolding covariance matrix. The image shows Figure 23 in the PRD paper, and the points with error bars indicate the cross section in the table.

Energy bin range ($\sqrt{s'}$), number of events after unfolding ($N_{\mathrm{unf}}$), corrected efficiency ($\varepsilon$), and cross section ($\sigma_{3\pi}$) for $e^{+}e^{-} \to \pi^{+} \pi^{-} \pi^{0}$ in energy range 1.05--3.50~GeV. The two uncertainties in the cross section are the statistical and systematic contributions. The statistical uncertainties for the unfolding and cross section are square roots of the diagonal components of the unfolding covariance matrix. The image shows Figure 23 in the PRD paper, and the points with error bars indicate the cross section in the table.

The statistic covariance matrix for the $e^+e^- \to \pi^+ \pi^- \pi^0$ cross section measurement at the Belle II. The 212 x 212 matrix of the energy ranges from 0.62 to 3.50 GeV. This covariance matrix, obtained by propagating the covariance matrix in the unfolding procedure, shows the total statistical uncertainties for the cross section results.

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Combination of measurements of the top quark mass from data collected by the ATLAS and CMS experiments at $\sqrt{s}=7$ and 8 TeV

The ATLAS & CMS collaborations Hayrapetyan, Aram ; Tumasyan, Armen ; Adam, Wolfgang ; et al.
Phys.Rev.Lett. 132 (2024) 261902, 2024.
Inspire Record 2789110 DOI 10.17182/hepdata.143309

A combination of fifteen top quark mass measurements performed by the ATLAS and CMS experiments at the LHC is presented. The data sets used correspond to an integrated luminosity of up to 5 and 20$^{-1}$ of proton-proton collisions at center-of-mass energies of 7 and 8 TeV, respectively. The combination includes measurements in top quark pair events that exploit both the semileptonic and hadronic decays of the top quark, and a measurement using events enriched in single top quark production via the electroweak $t$-channel. The combination accounts for the correlations between measurements and achieves an improvement in the total uncertainty of 31% relative to the most precise input measurement. The result is $m_\mathrm{t}$ = 172.52 $\pm$ 0.14 (stat) $\pm$ 0.30 (syst) GeV, with a total uncertainty of 0.33 GeV.

1 data table

Uncertainties on the $m_{t}$ values extracted in the LHC, ATLAS, and CMS combinations arising from the categories described in the text, sorted in order of decreasing value of the combined LHC uncertainty.


Version 2
Evidence of isospin-symmetry violation in high-energy collisions of atomic nuclei

The NA61/SHINE collaboration Adhikary, H. ; Adrich, P. ; Allison, K.K. ; et al.
Nature Commun. 16 (2025) 2849, 2025.
Inspire Record 2734683 DOI 10.17182/hepdata.156978

Strong interactions preserve an approximate isospin symmetry between up ($u$) and down ($d$) quarks, part of the more general flavor symmetry. In the case of $K$ meson production, if this isospin symmetry were exact, it would result in equal numbers of charged ($K^+$ and $K^-$) and neutral ($K^0$ and $\overline K^{\,0}$) mesons in the final state. Here, we report results on the relative abundance of charged over neutral $K$ meson production in argon and scandium nuclei collisions at a center-of-mass energy of 11.9 GeV per nucleon pair. We find that the production of $K^+$ and $K^-$ mesons at mid-rapidity is $(18.4\pm 6.1)\%$ higher than that of the neutral $K$ mesons. Although with large uncertainties, earlier data on nucleus-nucleus collisions in the collision center-of-mass energy range $2.6 < \sqrt{s_{NN}} < 200$~\GeV are consistent with the present result. Using well-established models for hadron production, we demonstrate that known isospin-symmetry breaking effects and the initial nuclei containing more neutrons than protons lead only to a small (few percent) deviation of the charged-to-neutral kaon ratio from unity at high energies. Thus, they cannot explain the measurements. The significance of the flavor-symmetry violation beyond the known effects is 4.7$\sigma$ when the compilation of world data with uncertainties quoted by the experiments is used. New systematic, high-precision measurements and theoretical efforts are needed to establish the origin of the observed large isospin-symmetry breaking.

11 data tables

Numerical data for $K^0_S$ from Figure 1.

Numerical data for $K^0_S$ from Figure 1.

Numerical data for $(K^+ + K^-)/2$ from Figure 1.

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Evidence for $B^{+}\to K^{+}\nu\bar{\nu}$ Decays

The Belle-II collaboration Adachi, I. ; Adamczyk, K. ; Aggarwal, L. ; et al.
Phys.Rev.D 109 (2024) 112006, 2024.
Inspire Record 2725943 DOI 10.17182/hepdata.146803

We search for the rare decay $B^{+}\rightarrow K^{+}\nu\bar{\nu}$ in a $362\ \rm{fb}^{-1}$ sample of electron-positron collisions at the $\Upsilon(4S)$ resonance collected with the Belle II detector at the SuperKEKB collider. We use the inclusive properties of the accompanying $B$ meson in $\Upsilon(4S) \to B\kern 0.18em\overline{\kern -0.18em B}{}$ events to suppress background from other decays of the signal $B$ candidate and light-quark pair production. We validate the measurement with an auxiliary analysis based on a conventional hadronic reconstruction of the accompanying $B$ meson. For background suppression, we exploit distinct signal features using machine learning methods tuned with simulated data. The signal-reconstruction efficiency and background suppression are validated through various control channels. The branching fraction is extracted in a maximum likelihood fit. Our inclusive and hadronic analyses yield consistent results for the $B^{+}\rightarrow K^{+}\nu\bar{\nu}$ branching fraction of $\left[2.7\pm 0.5(\mathrm{stat})\pm 0.5(\mathrm{syst})\right] \times 10^{-5}$ and $\left[1.1^{+0.9}_{-0.8}(\mathrm{stat}){}^{+0.8}_{-0.5}(\mathrm{syst})\right] \times 10^{-5}$, respectively. Combining the results, we determine the branching fraction of the decay $B^{+}\rightarrow K^{+}\nu\bar{\nu}$ to be $\left[2.3 \pm 0.5(\mathrm{stat})^{+0.5}_{-0.4}(\mathrm{syst})\right]\times 10^{-5}$, providing the first evidence for this decay at $3.5$ standard deviations. The combined result is $2.7$ standard deviations above the standard model expectation.

15 data tables

- - - - - - - - Overview of HEPData Record - - - - - - - -<br/><br/></ul><b>Post-fit yields:</b><ul><li><a href="146803?version=1&table=Postfit%20yields%20Y(4S)%3A%20fit%20variable%20(ITA)">Y(4S) fit variable (ITA)</a><li><a href="146803?version=1&table=Postfit%20yields%20off-resonance%3A%20fit%20variable%20(ITA)">Off-resonance fit variable (ITA)</a><li><a href="146803?version=1&table=Postfit%20yields%20Y(4S)%3A%20%24%5Ceta(%5Crm%7BBDT%7D_%7B2%7D)%24%20(ITA)">Y(4S) $\eta(\rm{BDT}_{2})$ (ITA)</a><li><a href="146803?version=1&table=Postfit%20yields%20Y(4S)%3A%20%24q%5E%7B2%7D%24%20(HTA)">Y(4S) $q^{2}$ (ITA)</a><li><a href="146803?version=1&table=Postfit%20yields%20Y(4S)%3A%20%24%5Ceta(%5Crm%7BBDT%7D_%7B2%7D)%24%20(ITA%2C%20signal-rich)">Y(4S) $\eta(\rm{BDT}_{2})$ (ITA, signal-rich)</a><li><a href="146803?version=1&table=Postfit%20yields%20Y(4S)%3A%20%24q%5E%7B2%7D%24%20%20(ITA%2C%20signal-rich)">Y(4S) $q^{2}$ (ITA, signal-rich)</a><li><a href="146803?version=1&table=Postfit%20yields%20Y(4S)%3A%20fit%20variable%20(HTA)">Y(4S) fit variable (HTA)</a><li><a href="146803?version=1&table=Postfit%20yields%20Y(4S)%3A%20%24q%5E%7B2%7D%24%20(HTA)">Y(4S) $q^{2}$ (HTA)</a></ul><b>Signal selection efficiency:</b><ul><li><a href="146803?version=1&table=Selection%20efficiency%20(ITA)">ITA</a><li><a href="146803?version=1&table=Selection%20efficiency%20(HTA)">HTA</a></ul><b>Likelihoods:</b><ul><li><a href="146803?version=1&table=Profile%20likelihoods%20(HTA)">HTA</a><li><a href="146803?version=1&table=Profile%20likelihoods%20(ITA)">ITA</a><li><a href="146803?version=1&table=Profile%20likelihoods%20(Combined)">Combined</a></ul><b>Branching fraction summary:</b><ul><li><a href="146803?version=1&table=Branching%20fraction%20summary">Branching fraction summary</a></ul></ul>HistFactory json with full statistical model for combined likelihood and minimal fitting example are included under Resources.<ul>

Observed yields and fit results in bins of the $\eta(\rm{BDT}_{2})\times q^2_{\mathrm{rec}}$ space obtained by the ITA simultaneous fit to the off- and on-resonance data, corresponding to an integrated luminosity of 42 and 362 fb$^{-1}$, respectively. The yields are shown individually for the $B^+ \rightarrow K^{+}\nu\bar\nu$ signal, neutral and charged $B$-meson decays and the sum of the five continuum categories. The yields are obtained in bins of the $\eta(\rm{BDT}_{2})\times q^2_{\mathrm{rec}}$ space.

Observed yields and fit results in bins of the $\eta(\rm{BDT}_{2})\times q^2_{\mathrm{rec}}$ space obtained by the ITA simultaneous fit to the off- and on-resonance data, corresponding to an integrated luminosity of 42 and 362 fb$^{-1}$, respectively. The yields are shown individually for the $B^+ \rightarrow K^{+}\nu\bar\nu$ signal, neutral and charged $B$-meson decays and the sum of the five continuum categories. The yields are obtained in bins of the $\eta(\rm{BDT}_{2})\times q^2_{\mathrm{rec}}$ space.

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Determination of $|V_{cb}|$ using $\overline{B}^0\to D^{*+}\ell^-\bar\nu_\ell$ decays with Belle II

The Belle-II collaboration Adachi, I. ; Adamczyk, K. ; Aggarwal, L. ; et al.
Phys.Rev.D 108 (2023) 092013, 2023.
Inspire Record 2705370 DOI 10.17182/hepdata.145129

We determine the CKM matrix-element magnitude $|V_{cb}|$ using $\overline{B}^0\to D^{*+}\ell^-\bar\nu_\ell$ decays reconstructed in $189 \, \mathrm{fb}^{-1}$ of collision data collected by the Belle II experiment, located at the SuperKEKB $e^+e^-$ collider. Partial decay rates are reported as functions of the recoil parameter $w$ and three decay angles separately for electron and muon final states. We obtain $|V_{cb}|$ using the Boyd-Grinstein-Lebed and Caprini-Lellouch-Neubert parametrizations, and find $|V_{cb}|_\mathrm{BGL}=(40.57\pm 0.31 \pm 0.95\pm 0.58)\times 10^{-3}$ and $|V_{cb}|_\mathrm{CLN}=(40.13 \pm 0.27 \pm 0.93\pm 0.58 )\times 10^{-3}$ with the uncertainties denoting statistical components, systematic components, and components from the lattice QCD input, respectively. The branching fraction is measured to be ${\cal B}(\overline{B}^0\to D^{*+}\ell^-\bar\nu_\ell)=(4.922 \pm 0.023 \pm 0.220)\%$. The ratio of branching fractions for electron and muon final states is found to be $0.998 \pm 0.009 \pm 0.020$. In addition, we determine the forward-backward angular asymmetry and the $D^{*+}$ longitudinal polarization fractions. All results are compatible with lepton-flavor universality in the Standard Model.

8 data tables

Measured partial decay rates $\Delta\Gamma$ (in units of $10^{-15}$ GeV)

Average of normalized decay rates over $\overline{B}^0\to D^{*+} e^- \bar\nu_e$ and $\overline{B}^0\to D^{*+} \mu^- \bar\nu_\mu$ decays

Full experimental (statistical and systematic) correlations (in \%) of the partial decay rates for the $\overline{B}^0\to D^{*+} e^- \bar\nu_e$ and $\overline{B}^0\to D^{*+} \mu^- \bar\nu_\mu$ decays.

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Measurements of $\pi^\pm$, $K^\pm$, $p$ and $\bar{p}$ spectra in $^{40}$Ar+$^{45}$Sc collisions at 13$A$ to 150$A$ GeV/$c$

The NA61/SHINE collaboration Adhikary, H. ; Adrich, P. ; Allison, K.K. ; et al.
Eur.Phys.J.C 84 (2024) 416, 2024.
Inspire Record 2692441 DOI 10.17182/hepdata.151277

The NA61/SHINE experiment at the CERN Super Proton Synchrotron studies the onset of deconfinement in strongly interacting matter through a beam energy scan of particle production in collisions of nuclei of varied sizes. This paper presents results on inclusive double-differential spectra, transverse momentum and rapidity distributions and mean multiplicities of $\pi^\pm$, $K^\pm$, $p$ and $\bar{p}$ produced in $^{40}$Ar+$^{45}$Sc collisions at beam momenta of 13$A$, 19$A$, 30$A$, 40$A$, 75$A$ and 150$A$~\GeVc. The analysis uses the 10% most central collisions, where the observed forward energy defines centrality. The energy dependence of the $K^\pm$/$\pi^\pm$ ratios as well as of inverse slope parameters of the $K^\pm$ transverse mass distributions are placed in between those found in inelastic $p$+$p$ and central Pb+Pb collisions. The results obtained here establish a system-size dependence of hadron production properties that so far cannot be explained either within statistical or dynamical models.

139 data tables

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $p$ at 13$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\pi^+$ at 13$A$ GeV/c

Two-dimensional distributions ($y$ vs. $p_T$ ) of double differential yields of $\pi^-$ at 13$A$ GeV/c

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