3,439 research outputs found

    Properties of the scalar mesons f0(1370)f_0(1370), f0(1500)f_0(1500) and f0(1710)f_0(1710)

    Full text link
    In the three-state mixing framework, considering the possible glueball components of η\eta and η\eta^\prime, we investigate the hadronic decays of f0(1370)f_0(1370), f0(1500)f_0(1500) and f0(1710)f_0(1710) into two pseudoscalar mesons. The quarkonia-glueball content of the three states is determined from the fit to the new data presented by the WA102 Collaboration. We find that these data are insensitive to the possible glueball components of η\eta and η\eta^\prime. Furthermore, we discuss some properties of the mass matrix describing the mixing of the isoscalar scalar mesons.Comment: Latex 14 pages including 1 eps figur

    Renormalization group improved pQCD prediction for Υ(1S)\Upsilon(1S) leptonic decay

    Get PDF
    The complete next-to-next-to-next-to-leading order short-distance and bound-state QCD corrections to Υ(1S)\Upsilon(1S) leptonic decay rate Γ(Υ(1S)+)\Gamma(\Upsilon(1S)\to \ell^+\ell^-) has been finished by Beneke {\it et al.} \cite{Beneke:2014qea}. Based on those improvements, we present a renormalization group (RG) improved pQCD prediction for Γ(Υ(1S)+)\Gamma(\Upsilon(1S)\to \ell^+\ell^-) by applying the principle of maximum conformality (PMC). The PMC is based on RG-invariance and is designed to solve the pQCD renormalization scheme and scale ambiguities. After applying the PMC, all known-type of β\beta-terms at all orders, which are controlled by the RG-equation, are resummed to determine optimal renormalization scale for its strong running coupling at each order. We then achieve a more convergent pQCD series, a scheme- independent and more accurate pQCD prediction for Υ(1S)\Upsilon(1S) leptonic decay, i.e. ΓΥ(1S)e+ePMC=1.2700.187+0.137\Gamma_{\Upsilon(1S) \to e^+ e^-}|_{\rm PMC} = 1.270^{+0.137}_{-0.187} keV, where the uncertainty is the squared average of the mentioned pQCD errors. This RG-improved pQCD prediction agrees with the experimental measurement within errors.Comment: 11 pages, 4 figures. Numerical results and discussions improved, references updated, to be published in JHE

    A proposal on the search for the hybrid with IG(JPC)=1(1+)I^G(J^{PC})=1^-(1^{-+}) in the process J/ψρωππJ/\psi\to\rho\omega\pi\pi at upgraded BEPC/BES

    Full text link
    The moment expressions for the boson resonances X with spin-parity 0++, 1-+, 1++, and 2++ possibly produced in the process J/ψρXJ/\psi\to\rho X, Xb1(1235)πX\to b_1(1235)\pi, b1ωπb_1\to \omega \pi are given in terms of the generalized moment analysis method. The 1-+ resonance can be distinguished from other resonances by means of these moments except for some rather special cases. The suggestion that the search for the 1-+ hybrid can be performed in the above decay channel at upgraded BEPC/BES is presented.Comment: Latex 13 pages, no figur

    Degeneracy Relations in QCD and the Equivalence of Two Systematic All-Orders Methods for Setting the Renormalization Scale

    Get PDF
    The Principle of Maximum Conformality (PMC) eliminates QCD renormalization scale-setting uncertainties using fundamental renormalization group methods. The resulting scale-fixed pQCD predictions are independent of the choice of renormalization scheme and show rapid convergence. The coefficients of the scale-fixed couplings are identical to the corresponding conformal series with zero β\beta-function. Two all-orders methods for systematically implementing the PMC-scale setting procedure for existing high order calculations are discussed in this article. One implementation is based on the PMC-BLM correspondence \mbox{(PMC-I)}; the other, more recent, method \mbox{(PMC-II)} uses the Rδ{\cal R}_\delta-scheme, a systematic generalization of the minimal subtraction renormalization scheme. Both approaches satisfy all of the principles of the renormalization group and lead to scale-fixed and scheme-independent predictions at each finite order. In this work, we show that PMC-I and PMC-II scale-setting methods are in practice equivalent to each other. We illustrate this equivalence for the four-loop calculations of the annihilation ratio Re+eR_{e^+ e^-} and the Higgs partial width Γ(Hbbˉ)\Gamma(H\to b\bar{b}). Both methods lead to the same resummed (`conformal') series up to all orders. The small scale differences between the two approaches are reduced as additional renormalization group {βi}\{\beta_i\}-terms in the pQCD expansion are taken into account. We also show that {\it special degeneracy relations}, which underly the equivalence of the two PMC approaches and the resulting conformal features of the pQCD series, are in fact general properties of non-Abelian gauge theory.Comment: 7 pages, 1 figur
    corecore