Weak decay constant of pseudoscalar mesons in a QCD-inspired model

Abstract

We show that a linear scaling between the weak decay constants of pseudoscalars and the vector meson masses is supported by the available experimental data. The decay constants scale as fm/fπ = MV /Mρ (fm decay constant and M V vector meson ground state mass). This simple form is justified within a renormalized lightfront QCD-inspired model for quark-antiquark bound states.

Measurement ofB(Ds+→l+ν)and the decay constantfAlexander1, Cassel2, Duboscq3 et al. 2009Phys. Rev. D786330View full textAdd to dashboardCite

“…[21] µ + ν (6.38 ± 0.76 ± 0.52) · 10 −3 274 ± 16 ± 12 Average of CLEO and Belle results above, radiatively corrected 261.2 ± 6.9 CLEO [14] µ + ν (6.2 ± 0.8 ± 1.3 ± 1.6) · 10 −3 3.6±0.9 273 ± 19 ± 27 ± 33 BEATRICE [15] µ + ν (8.3 ± 2.3 ± 0.6 ± 2.1) · 10 −3 3.6±0.9 312 ± 43 ± 12 ± 39 ALEPH [16] µ + ν (6.8 ± 1.1 ± 1.8) · 10 −3 3.6±0.9 282 ± 19 ± 40 ALEPH [16] τ + ν (5.8 ± 0.8 ± 1.8) · 10 −2 L3 [17] τ + ν (7.4 ± 2.8 ± 1.6 ± 1.8) · 10 −2 299 ± 57 ± 32 ± 37 OPAL [18] τ + ν (7.0 ± 2.1 ± 2.0) · 10 −2 283 ± 44 ± 41 BaBar [19] µ + ν (6.74 ± 0.83 ± 0. [6] 241 ± 3 208 ± 4 1.162 ± 0.009 Lattice (FNAL+MILC+HPQCD) [5] 249 ± 3 ± 16 201 ± 3 ± 17 1.24 ± 0.01 ± 0.07 QL (QCDSF) [37] 220 ± 6 ± 5 ± 11 206 ± 6 ± 3 ± 22 1.07 ± 0.02 ± 0.02 QL (Taiwan) [38] 266 ± 10 ± 18 235 ± 8 ± 14 1.13 ± 0.03 ± 0.05 QL (UKQCD) [39] 236 ± 8 1.10 ± 0.02 QCD Sum Rules [41] 205 ± 22 177 ± 21 1.16 ± 0.01 ± 0.03 QCD Sum Rules [42] 235 ± 24 203 ± 20 1.15 ± 0.04 Field Correlators [43] 210 ± 10 260 ± 10 1.24 ± 0.03 Quark Model [44] 268 234 1.15 Quark Model [45] 248±27 230±25 1.08±0.01 LFQM (Linear) [46] 211 248 1.18 LFQM (HO) [46] 194 233 1.20 LF-QCD [47] 253 241 1.05 Potential Model [48] 241 238 1.01 Isospin Splittings [49] 262 ± 29 on f D + and f Ds of 230 and 270 MeV, respectively, have been determined using two-point correlation functions by Khodjamirian [36]. Our result for f Ds is higher than most theoretical expectations.…”

Electromagnetic structure and weak decay of pseudoscalar mesons in a light-front QCD-inspired model

“…In our model m 1 + m 2 is the vector meson mass, and then as suggested by Ref. [13], the decay constant scales as:…”

“…In Refs. [12] and [13], the log-type divergent factors in the pseudoscalar decay constants were parameterized in terms of f π and the sum of the constituent quark masses, which in the QCD-inspired model [6] could be identified with the ground state vector meson mass. Therefore, one has:…”

Measurement ofB(Ds+→l+ν)and the decay constantfPedlar1, Cronin-Hennessy2, Gao3 et al. 2007Phys. Rev. D20000View full textAdd to dashboardCite

“…There is no evidence at this level of precision for any suppression in the ratio due to the presence of a virtual charged Higgs [9]. Model [27] 241 ± 3 208 ± 4 1.162 ± 0.009 Lattice (FNAL+MILC+HPQCD) [28] 249 ± 3 ± 16 201 ± 3 ± 17 1.24 ± 0.01 ± 0.07 QL (QCDSF) [29] 220 ± 6 ± 5 ± 11 206 ± 6 ± 3 ± 22 1.07 ± 0.02 ± 0.02 QL (Taiwan) [30] 266 ± 10 ± 18 235 ± 8 ± 14 1.13 ± 0.03 ± 0.05 QL (UKQCD) [31] 236 ± 8 1.10 ± 0.02 QCD Sum Rules [33] 205 ± 22 177 ± 21 1.16 ± 0.01 ± 0.03 QCD Sum Rules [34] 235 ± 24 203 ± 20 1.15 ± 0.04 Field Correlators [35] 210 ± 10 260 ± 10 1.24 ± 0.03 Quark Model [36] 268 234 1.15 Quark Model [37] 248±27 230±25 1.08±0.01 LFQM (Linear) [38] 211 248 1.18 LFQM (HO) [38] 194 233 1.20 LF-QCD [39] 253 241 1.05 Potential Model [40] 241 238 1.01 Isospin Splittings [41] 262 ± 29…”