0000000000131620
AUTHOR
N.f. Nasrallah
The pion polarisability from QCD sum rules
Abstract The electromagnetic polarisability of charged pions, α E , has recently attracted both theoretical and experimental attention. Unfortunately the experimental results disagree with each other. We have investigated this polarisation via a QCD sum rule approach and find α E = 5.6 ± 0.5 × 10 −4 fm 3 , which is in agreement with one experiment and disagrees with the result of chiral perturbation theory.
A QCD calculation of the pion-nucleon sigma-term
We present the results of a QCD sum rule calculation of the pion-nucleon sigma-term. Depending on the uncertain value of the four quark condensate we obtain σ=10...40 MeV.
The electromagnetic mass difference of pions from asymptotic QCD
We show how the asymptotic behaviour of an analytic amplitude can yield information on the amplitude at small space-like momenta. Applying this to QCD two-point functions, we are able to obtain low energy parameters without using resonance saturation. In the special case considered here, we have calculated the electromagnetic mass difference of pions using only the asymptotic QCD amplitude. The result, in very good agreement with experiment is\(\Delta m_\pi = 5.3 \pm 1.5MeV.\)
enhancement and the Glashow-Schnitzer-Weinberg sum rule
Abstract In 1967 Glashow, Schnitzer and Weinberg derived a sum rule in the soft-pion and soft kaon limit relating the ΔI= 1 2 non-leptonic K→2π amplitude to integrals over strange and non-strange spectral functions. Using the recent ALEPH data from τ-decay, we show that the sum rule, slightly modified to reduce contributions near the cut, yields the correct magnitude decay amplitude corresponding to the ΔI= 1 2 rule.
Incomplete GIM cancellation in $$K_L \to \bar \mu \mu $$ decay
Weak contributions to the decay $$K_L \to \bar \mu \mu $$ are evaluated over the whole energy spectrum and it is found that terms which survive the GIM cancellation because of the size of the top quark mass are comparable in size to the ones previously kept. Corresponding bounds on the K-M mixing matrix elements are given.
Including long-distance effects in theKL−KSmass splitting
In the framework of the standard model we propose an approach to the computation of the {ital K}{sub {ital L}}-{ital K}{sub {ital S}} mass difference which does not rely on an effective local Hamiltonian. Using partial conservation of axial-vector current, low-momentum Ward identities, and working at leading order in 1/{ital N}{sub {ital c}}, we relate box diagrams to others where strong interactions can be resummed. After subtracting the {ital K}-to-vacuum transitions, an expression involving only hadronic quantities is obtained. A numerical evaluation is performed by using a method of analytic continuation from the high-energy behavior given by QCD. The resulting contribution is found sma…
correction to ƒB
Abstract The 1/m corrections to the B-meson decay constant ƒB (and the D-meson decay constant ƒD) of the heavy quark effective theory are calculated in the Green function approach. The corrections are found to be sensitive to the difference of the meson mass mB and the heavy quark mass mb. For mb=4.81 GeV we obtain a 100% correction to the heavy quark limit mb=mB. The scaling law of the ratio ƒB/ƒD is, however, quite well satisfied because of cancellations. For reasonable values of quark masses we obtain ƒ B = (130±20) MeV and ƒ D = (170±10) MeV .
Evaluation of the flavor-changing vertexb→s+Husing the Breitenlohner-Maison-'t Hooft-Veltmanγ5scheme
We reevaluate the one-loop-induced flavor-changing vertex {ital b}(bottom){r arrow}{ital s}(strange)+{ital H}(Higgs boson) using the Breitenlohner--Maison--'t Hooft--Veltman {gamma}{sub 5} scheme. Our result agrees with the result of previous calculations that employed a naive anticommuting {gamma}{sub 5} if one consistently employs left-chiral fermion fields in the perturbation expansion.