Ref HAL: in2p3-00090207_v1
Ref Arxiv: hep-ph/0608297
DOI: 10.1103/PhysRevD.75.014005
Ref. & Cit.: NASA ADS
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167 citations
Abstract:

We use QCD spectral sum rules to test the nature of the meson X(3872), assumed to be an exotic four-quark (c\bar{c}q\bar{q}) state with J^{PC}=1^{++}. For definiteness, we work with the current proposed recently by Maiani et al [1], at leading order in \alpha_s, consider the contributions of higher dimension condensates and keep terms which are linear in the light quark mass m_q. We find M_X=(3925+- 127) MeV which is compatible, within the errors, with he experimental candidate X(3872), while the SU(3) breaking-terms lead to an unusual mass-splitting M_{X^{s}}-M_X=- (61+-30) MeV. The mass-difference between the neutral states due to isospin violation of about 2 MeV is much smaller than the value 8 MeV proposed in [1]. For the b-quark, we predict M_{X_b}= (10144+-106) MeV for the X_b(b\bar{b}q \bar{q}), which is much below the {\bar B}B* threshold in contrast to the {\bar B}B* molecule prediction [2], and for the X_b^s(b\bar{b}s \bar{s}), a mass-splitting M_{X^s_{b}}-M_{X_b}=-(121+-182) MeV. Our analysis also indicates that the mass-splitting between the ground state and the radial excitation of about (225~250) MeV is much smaller than in the case of ordinary mesons and is (within the errors) flavour-independent. We also extract the decay constants, analogous to f_\pi, of such mesons, which are useful for further studies of their leptonic and hadronic decay widths. The uncertainties of our estimates are mainly due to the ones from the c and b quark masses.

Comments: 14 pages, 9 figures

Ref HAL: in2p3-00104573_v1
Ref Arxiv: hep-ph/0601066
Ref. & Cit.: NASA ADS
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Abstract:

We review the determinations of the pseudoscalar glueball and eventual radial excitation of the \eta' masses and decay constants from QCD spectral sum rules (QSSR). The glueball mass is (2.05+-0.19) which one can compare with the eventual experimental candidate X(1835), while the \eta(1400) is likely a radial excitation of the \eta'-meson. Their effects on the estimates of U(1)_A topological susceptibility and its slope as well as the impact of the latter in the estimate of the spin of the proton is discussed. We predict the singlet polarized parton distributions to be a^0(Q^2=4 GeV^2)=0.32+-0.02, which is about a factor two smaller than the OZI value, but comparable with the COMPASS measurement of 0.24+-0.02.

Comments: 12 pages latex file. In honour of Professor A. Di Giacomo for his 70th birthday (Adrianofest 26-27th January 2006, Pisa, Italy). To appear in the Proceedings

Ref HAL: in2p3-00025720_v1
Ref Arxiv: hep-ph/0508259
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
Abstract:

I discuss the standard SVZ-expansion of the QCD two-point correlators in terms of the QCD vacuum condensates and beyond it due to a new unflavoured 1/Q^2-term (tachyonic gluon mass squared \lambda^2) which modelizes the effects of uncalculated higher order perturbative terms. The approach is confronted with low-energy and lattice data. One can notice that, in the different examples studied here, high-dimension condensates are expected to deviate largely from their vacuum saturation (large N_c) values, while the new 1/Q^2-term due to \lambda^2 solves the hadronic mass scale hierarchy-puzzle encountered in the early SVZ-sum rule analysis and improves the low-energy phenomenology. From tau-decay data, one can extract the running strange quark mass m_s(2 GeV)=(93^{+29}_{-32}) MeV and a more accurate value of the QCD coupling \alpha_s(M_Z)=0.117+- 0.002.

Comments: 7 pages in 2-column format, 1 figure, 4 tables, Talk given at the Workshop Understanding Confinement (Ringberg Castle, 16-21th May 2005) and at QCD 05 International Conference (Montpellier, 4-8th July 2005)

Ref HAL: in2p3-00118976_v1
Ref Arxiv: hep-ph/0510108
DOI: 10.1103/PhysRevD.74.034013
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
63 citations
Abstract:

We reconsider the determinations of the strange quark mass m_s from e+e- into hadrons data using a new combination of FESR and revisiting the existing tau-like sum rules by including non-resonant contributions to the spectral functions. To order alpha_s^3 and including the tachyonic gluon mass lambda^2 contribution, which phenomenologically parametrizes the UV renormalon effect into the PT series, we obtain the invariant mass m_s=(119 +- 17)MeV leading to: m_s(2 GeV)=(104+- 15)MeV. Combining this value with the recent and independent phenomenological determinations from some other channels, to order alpha_s^3 and including lambda^2, we deduce the weighted average: m_s (2 GeV)=(96.1 +- 4.8)MeV . The positivity of the spectral functions in the (pseudo)scalar [resp. vector] channels leads to the lower [resp. upper] bounds of m_s(2 GeV): (71 +- 4) MeV < m_s(2 GeV) < (151 +- 14) MeV, to order alpha_s^3. Using the ChPT mass ratio r_3 = 2m_s/(m_u+m_d)=24.2 +- 1.5, and the average value of m_s, we deduce: (m_u+m_d)(2 GeV)=(7.9 +- 0.6) MeV, consistent with the pion sum rule result, which, combined with the ChPT value for m_u/m_d, gives: m_d(2 GeV)=(5.1 +- 0.4)MeV and m_u(2 GeV)=(2.8 +- 0.2)MeV. Finally, using (m_u+m_d) from the pion sum rule and the average value of m_s (without the pion sum rule), the method gives: r_3= 23.5 +- 5.8 in perfect agreement with the ChPT ratio, indicating the self-consistency of the sum rule results. Using the value: m_b(m_b)=(4.23 +- 0.06) GeV, we also obtain the model-building useful scale-independent mass ratio: m_b/m_s=50 +- 3.

Comments: Updated and improved average values. Version to appear in Phys. Rev. D

Ref HAL: in2p3-00119214_v1
Ref Arxiv: hep-ph/0512256
DOI: 10.1103/PhysRevD.73.114024
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
77 citations
Abstract:

Motivated by several recent data, we test the QCD spectral sum rules (QSSR) predictions based on different proposals (\bar qq, \bar q\bar q qq, and gluonium) for the nature of scalar mesons. In the I=1 and 1/2 channels, the unusual (wrong) splitting between the a_0(980) and \kappa(900) and the a_0(980) width can be understood from QSSR within a \bar qq assignement. However, none of the \bar qq and \bar q\bar q qq results can explain the large \kappa width, which may suggest that it can result from a strong interference with non-resonant backgrounds. In the I=0 channel, QSSR and some low-energy theorems (LET) require the existence of a low mass gluonium \sigma_B(1 GeV) coupled strongly to Goldstone boson pairs which plays in the U(1)_V channel, a similar role than the \eta' for the value of the U(1)_A topological charge. The observed \sigma(600) and f_0(980) mesons result from a maximal mixing between the gluonium \sigma_B and \bar qq(1 GeV) mesons, a mixing scheme which passes several experimental tests. OZI violating J/\psi--> \phi\pi^+\pi^-, D_s--> 3\pi decays and J/\psi--> \gamma S glueball filter processes may indicate that most of the I=0 mesons above 1 GeV have important gluonium in their wave functions. We expect that the f_0(1500), f_0(1710) and f_0(1790) have significant gluonium component in their wave functions, while the f_0(1370) is mostly \bar qq. Tests of these results can be provided by the measurements of the pure gluonium \eta'\eta and 4\pi specific U(1)_A decay channels.

Comments: Version to appear in Phys. Rev. D (one previous figure corrupted)

Ref HAL: in2p3-00025721_v1
Ref Arxiv: hep-ph/0508259
DOI: 10.1016/j.nuclphysbps.2006.11.070
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
36 citations
Abstract:

I discuss the standard SVZ-expansion of the QCD two-point correlators in terms of the QCD vacuum condensates and beyond it due to a new unflavoured 1/Q^2-term (tachyonic gluon mass squared \lambda^2) which modelizes the effects of uncalculated higher order perturbative terms. The approach is confronted with low-energy and lattice data. One can notice that, in the different examples studied here, high-dimension condensates are expected to deviate largely from their vacuum saturation (large N_c) values, while the new 1/Q^2-term due to \lambda^2 solves the hadronic mass scale hierarchy-puzzle encountered in the early SVZ-sum rule analysis and improves the low-energy phenomenology. From tau-decay data, one can extract the running strange quark mass m_s(2 GeV)=(93^{+29}_{-32}) MeV and a more accurate value of the QCD coupling \alpha_s(M_Z)=0.117+- 0.002.

Comments: 7 pages in 2-column format, 1 figure, 4 tables, Talk given at the Workshop Understanding Confinement (Ringberg Castle, 16-21th May 2005) and at QCD 05 International Conference (Montpellier, 4-8th July 2005)

Ref HAL: in2p3-00024178_v1
Ref Arxiv: hep-ph/0501208
DOI: 10.1016/j.physletb.2005.08.085
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
15 citations
Abstract:

We apply, to the new OPAL data on $V+A$ strange spectral functions, a suitable combination of QCD spectral sum rules directly sensitive to the combination of strange quark ($m_s$) and tachyonic gluon ($\lambda^2$) masses . Using the mean value of $\lambda^2$ from a sum rule analysis of different channels, we deduce the invariant strange quark mass $\hat{m}_s= (115.6\pm16.8)$ MeV to order $\alpha_s^3$, which leads to the running mass $\bar{m}_s$(2 GeV)= ($103.1\pm15.1$) MeV. The case $\lambda^2 = 0$ leads to a lower value $\bar{m}_s$(2 GeV)= ($70.1\pm18.4$) MeV, in the boarderline of the lower bound 90 MeV derived from different sum rules, and lower than most of the existing determinations of $m_s$. We also obtain an interesting though less competitive estimate of the CKM angle: $\left|V_{us}\right|=0.2185\pm0.036.

Comments: Latex 2e file, 9 pages, 2 figures