Summary on m_{c,b}(m_{c,b}) and precise f_{D_(s),B_(s)} from heavy-light QCD spectral sum rules

Abstract

We summarize recent results obtained in [1] on the running m_{c,b}(m_{c,b}) in the MS scheme and f_{D_(s), B_(s)} using QCD spectral sum rules (QSSR) known to N2LO PT series, including all dimension-six NP condensate contributions in the full QCD theory, an estimate of the N3LO terms based on the geomteric growth of the PT series and using the most recent values of the QCD input parameters given in Table [1]. The study of the effects of the subtraction scale μon "different QSSR data" and the use (for the first time) of the Renormalization Group Invariant (RGI) scale independent quark masses in the analysis are emphasized. The estimates [rigourous model-independent upper bounds] reported in Table 2: f_D/f_π=1.56(5)[< 1.68(1)], f_B/f_π=1.58(5)[< 1.80(3)] and f_{D_s}/f_K= 1.58(4) [< 1.63(1)], f_{B_s}/f_K=1.50(3)[< 1.61(3.5)], improve previous QSSR estimates. The remarkable agreements with some of the experimental data on f_{D,D_s} and with lattice simulations within dynamical quarks confirm both the success of the QSSR semi-approximate approach based on the OPE in terms of the quark and gluon condensates and of the Minimal Duality Ansatz (MDA) for parametrizing the hadronic spectral function which we have tested from the complete data of the J/ψand Υsystems. The running quark masses m_c({m_c})=1286(66) MeV and m_b({m_b})= 4236(69) MeV from M_{D,B} are in good agreement though less accurate than the ones from recent J/ψand Υsum rules.

4 pages, 5 figures, 2 tables. Talk given at the 16th International Conference on QCD (QCD12), 2-6th july 2012, Montpellier (France)

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• Power corrections to alpha_s(M_τ),|V_{us}| and m_s
• Lattice QCD determination of m_b, f_B and f_Bs with twisted mass Wilson fermions
• |V_{cd}|, |V_{cs}| and f_{D_s} from (semi) leptonic $D_{(s)}$-decays : signals of New Physics ?
• Upper bounds on $f_D$ and $f_{D_s}$ from two-point correlation function in QCD

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• In-medium properties of pseudoscalar $D_s$ and $B_s$ mesons
• Improved XTZ masses and mass ratios from Laplace Sum Rules at NLO
• Masses and decay widths of scalar $D_0$ and $D_{s0}$ mesons in strange hadronic medium
• Tests of the Z_c-like Laplace Sum Rule (LSR) results using FESR at NLO