We report on recent progress in studying two aspects of B physics, in which penguin amplitudes play an important role: 1. Bounds on penguin pollution in B(t) → ππ constraining the CKM parameters ρ and η, and a lower bound on B → ππ improving precision in sin 2α. 2. A suggestion for measuring the photon polarization in electroweak penguin decay, B → K1(1400)γ, providing a test of the Standard Mo...

We present the alternative way of derivation of the Wandzura-Wilczek relations between the kinematical twist-3 and twist-2 functions, parameterizing hadronic matrix element in two-photon processes γπ → γπ and γγ → ππ. The new equations, providing the independence of the physical cross-sections on the choice of the light-cone direction, are suggested and explored. The amplitude of γγ → ππ up to ...

K → ππ, KL-KS mass difference, KL → γγ and the Dalitz decays of KL are studied systematically by assuming that their amplitude can be described in terms of a sum of short distance and long distance contributions. Dominance of the short distance effect on the KL-KS mass difference will be checked by the Dalitz decays of KL in a way consistent with the K → ππ and KL → γγ decays.

We look at methods to determine the weak phases φ2 and φ3 from B → ππ and Kπ decays within the perturbative QCD approach. We obtain quite interesting bounds on φ2 and φ3 from experimental measurement in B-factory: 55 ≤ φ2 ≤ 100 and 51 ≤ φ3 ≤ 129. Specially we predict the possibility of large direct CP violation effect in B → ππ (23± 7%) decay. DPNU-02-28 hep-ph/0209002

Assuming the QCD multipole expansion is applicable to hadronic transitions of Υ(3S) into lower level bottomonia, we consider the possibility that Υ(3S) has a D−wave component. This assumption leads to a natural explanation of the ππ spectrum in Υ(3S) → Υ(1S) ππ. Consequences of this assumption on other hadronic and radiative transitions of Υ(3S) are also discussed in the same context. PACS numb...

In the previous work, analyzing the I=0 S-wave ππ-scattering phase-shift through a new method of Interfering Breit-Wigner amplitudes, we have shown possibility of existence of a light scalar, σ particle, by assuming a negative back-ground phaseshift, corresponding to “repulsive core” in ππ-interaction. In this work we investigate further, to what extent, σ-properties and size of core radius are...

a Department of Physics, Shizuoka University, Shizuoka 422-8529, Japan b Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan c Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 Abstract A dynamical coupled-channel model is presented for investigating the nucleon resonances (N∗) in the meson production reactions induced by pions and photons. Our objectiv...

We study contributions of quark-squark-gluino interactions in Minimal Supersymmetric Standard Model (MSSM) to B → PP (PP = Kπ, ππ,KK) decays using QCD improved factorization method for the evaluation of the hadronic matrix elements and taking into account renormalization group running of the Wilson coefficients from SUSY scale (≈ mq̃) to the low energy scale (= mb) applicable to B decays. Using ...

The analysis of the poles of the ππ scattering amplitude is shown to favour a dynamical origin of the sigma meson: it is created by a strongly attractive ππ interaction in the J = 0I = 0 channel. In the limit Nc → ∞, the σ meson disappears, contrary to the case of conventional qq̄ states. Implications for the search of the scalar qq̄ and glueball states are discussed.

A new study is reported of a lattice QCD calculation of the K → ππ decay amplitude with the Wilson quark action in the quenched approximation at β = 6.1. The amplitude is extracted from the K → ππ Green function, and a conversion to the continuum value is made employing a recent one-loop calculation of chiral perturbation theory. The result is consistent with the experimental value if extrapola...