• Energy Research

We report searches for the processes $e^+e^-\to\pi^+\pi^-\pi^0\chi_{bJ}$ and $e^+e^-\to\phi\chi_{bJ}$ (J=1,2) in the vicinity of the $\Upsilon(11020)$ resonance using energy scan data collected by the Belle experiment at the KEKB collider. We observe $e^+e^-\to \pi^+\pi^-\pi^0\chi_{b1}$ and find evidence for $e^+e^-\to \omega\chi_{b2}$ processes for data with center-of-mass energies from 10.96 to 11.05~GeV for the first time. The statistical significance for $\pi^+\pi^-\pi^0\chi_{b1}$ and $\omega\chi_{b2}$ are $6.1\sigma$ and $4.0\sigma$, respectively. We investigate energy dependence of the $e^+e^-\to\pi^+\pi^-\pi^0\chi_{bJ}$ cross section and find that it is consistent with production of $\Upsilon(10860)$ and $\Upsilon(11020)$ resonances without significant non-resonant contribution. Assuming $e^+e^-\to \pi^+\pi^-\pi^0\chi_{bJ}$ proceeds via $\Upsilon(10860)$ and $\Upsilon(11020)$, the branching fraction $\mathcal{B}(\Upsilon(11020)\to\pi^+\pi^-\pi^0\chi_{bJ})=(8.6\pm4.1\pm6.1^{+4.5}_{-2.5})\times10^{-3}$ is measured for the first time, where the first error is statistical, the second is systematic, and the third from the branching fraction of $\Upsilon(11020)\to e^+e^-$. The signals for $e^+e^-\to \phi\chi_{bJ}$ are not significant, and the upper limits of the Born cross sections at the 90\% confidence level are $0.6$ and $1.0$~pb for $e^+e^-\to \phi\chi_{b1}$ and $\phi\chi_{b2}$, respectively, for center-of-mass energies from 10.96 to 11.05~GeV.

We report new measurements of the production cross sections of pairs of charged pions and kaonsas a function of their fractional energies using various fractional-energy definitions. Two different fractional-energy definitions were used and compared to the conventional fractional-energy definitionreported previously. The new variables aim at either identifying dihadron cross sections in terms of single-hadron fragmentation functions, or to provide a means of characterizing the transverse momentum created in the fragmentation process. The results were obtained applying the updated initial-state radiation correction used in other recent Belle publications on light-hadron production cross sections. In addition, production cross sections of single charged pions, kaons, and protons were also updated using this initial-state radiation correction. The cross sections are obtained from a 558 fb$^{−1}$ data sample collected at the$Υ(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^+e^−$ collider Physical review / D D 101(9), 092004: 1-13 (2020). doi:10.1103/PhysRevD.101.092004 Published by American Physical Society, Melville, NY

We report a new measurement of the exclusive $e^+ e^- \to D^{(*) \pm} D^{*\mp}$ cross sections as a function of the center-of-mass energy from the $D^{(*) \pm} D^{* \mp}$ threshold through $\sqrt{s}=6.0$ GeV with initial-state radiation. The analysis is based on a data sample collected with the Belle detector with an integrated luminosity of $951$ fb$^{-1}$. The accuracy of the cross section measurement is increased by a factor of two over the first Belle study. We perform the first angular analysis of the $e^+ e^- \to D^{* \pm} D^{* \mp}$ process and decompose this exclusive cross section into three components corresponding to the $D^*$ helicities.

We report measurements of the production cross sections of charged pions, kaons, and protons as a function of fractional energy, the event-shape variable called thrust, and the transverse momentum with respect to the thrust axis. These measurements access the transverse momenta created in the fragmentation process, which are of critical importance to the understanding of any transverse-momentum-dependent distribution and fragmentation functions. The low transverse-momentum part of the cross sections can be well described by Gaussians in transverse momentum as is generally assumed but the fractional-energy dependence is nontrivial and different hadron types have varying Gaussian widths. The width of these Gaussians decreases with thrust and shows an initially rising, then decreasing fractional-energy dependence. The widths for pions and kaons are comparable within uncertainties, while those for protons are significantly narrower. These single-hadron cross sections and Gaussian widths are obtained from a 558 fb−1 data sample collected at the Υ(4S) resonance with the Belle detector at the KEKB asymmetric-energy e+e− collider. Physical review / D D 99(11), 112006 (2019). doi:10.1103/PhysRevD.99.112006 Published by Published by the American Physical Society, Melville, NY