General analysis of CP-violation in polarized $b \rightarrow d \ell^ + \ell^-$ decay

The CP-violating asymmetries in the decay, when one of the leptons is polarized, is investigated using the most general form of the effective Hamiltonian. The sensitivity of the CP-violating asymmetries to the new Wilson coefficients is studied.Received: 23 August 2003, Published online: 4 November 2003     

Implications of $B \to \rho \gamma$ measurements in the standard model and supersymmetric theories

We study the implications of the recently improved upper limits on the branching ratios for the decays , expressed as . We work out the constraints that the current bound on implies on the parameters of the quark mixing matrix in the standard model (SM). Using the present profile of the unitarity triangle, we predict this ratio to lie in the range (at 95% C.L.), with the central value . We also work out the correlations involving , the isospin-violating ratio , and the direct CP-violating asymmetry in decays in the SM, in the minimal supersymmetric extension of the SM (MSSM), and in an extension of the MSSM involving an additional flavor-changing structure in transitions. Received: 19 August 2002 / Published online: 18 October 2002 RID="a" ID="a" e-mail: ali@mail.desy.de RID="b" ID="b" e-mail: lunghi@mail.desy.de     

An analysis of the time-dependent CP asymmetryin $B \to \pi \pi$ decays in the standard model

Measurements of the time-dependent CP-asymmetry in the decay and its charge conjugate by the BELLE and BABAR collaborations currently yield and , characterizing the direct and mixing-induced CP-asymmetries, respectively. We study the implication of these measurements on the CKM phenomenology taking into account the available information in the quark mixing sector. Our analysis leads to the results that the ratio |P _c /T _c | involving the QCD-penguin and tree amplitudes and the related strong phase difference in the decays are quite substantial. Using the isospin symmetry to constrain |P _c /T _c | and , where parameterizes the penguin-induced contribution, we present a fit of the current data including the measurements of and . Our best-fits yield , , , , and . At 68% C.L., the ranges are , , , and . Currently en vogue dynamical approaches to estimate the hadronic matrix elements in decays do not provide a good fit of the current data.Received: 5 April 2004, Published online: 14 July 2004A.Ya. Parkhomenko: On leave of absence from Department of Theoretical Physics, Yaroslavl State University, Sovietskaya 14, 150000 Yaroslavl, Russia.     

Decay {B \to K^\ast(\to K\pi)\ell^{+} \ell^{-}} in Covariant Quark Model

Our article is devoted to the study of the rare \({B \to K^\ast \ell^+\ell^-}\) decay where \({\ell=e,\mu,\tau}\). We compute the relevant form factors in the framework of the covariant quark model with infrared confinement in the full kinematical momentum transfer region. The calculated form factors are used to evaluate branching fractions and polarization observables in the cascade decay \({B \to K^\ast(\to K\pi)\ell^+\ell^-}\). We compare the obtained results with available experimental data and the results from other theoretical approaches.     

The exclusive B_s\rightarrow \phi \ell^+ \ell^- decay in the two Higgs doublet models

We study the differential branching ratio, the branching ratio and the forward-backward asymmetry for exclusive decay in the two Higgs doublet model. We analyze the dependences of these quantities on the model parameters and show that these observables are highly sensitive to new physics and hence may provide a powerful probe of the SM and beyond. Received: 27 March 2002 / Revised version: 3 July 2002 / Published online: 20 September 2002 RID="a" ID="a" e-mail: gurerk@newton.physics.metu.edu.tr RID="b" ID="b" e-mail: gsevgur@metu.edu.tr     

Isospin constraints from/on $B \to \pi\pi$

The Standard Model constraints on which can be derived from the decays are revisited in some depth. As experimental inputs, the , decays complemented by the decays, the CP parameters and , and/or the value of as determined by the global CKM fit are used. The constraints discussed here are model independent in the sense that they rely only on Isospin symmetry, following the Gronau-London proposal. A new bound on and the function are introduced. While another bound applied to BABAR results is shown to imply that is negative. The Grossman-Quinn bound is rediscussed. A close form expression is given for as a function of the measurements. Various scenarios for the future of the isospin analysis are explored. To probe the Standard Model the plane is introduced.Received: 17 December 2004, Published online: 25 January 2005     

Electroweak asymmetries in the processe^ - + e^ + \to \tilde f + \tilde f in various gauge models

The creation of a pair of scalar fermion partners accompanying the annihilation of arbitrarily polarized electrons and positrons is studied in the gauge models SU(2)× U(l), SU(2)_L× SU(2)_R× U(1), and SU(3)× U(1). Different electroweak asymmetries are found and analyzed in detail (right-left asymmetry a_rl, P-even transversal spin asymmetry a₁ and P-odd asymmetry A₂) for the e^–e⁺-beam energies s=40–360 GeV and the Weinberg parameter values 0.21 sin²_W0.27. The computations show that the presence of weak neutral currents also leads to noticeable electroweak asymmetries, which are sensible to the choice of the gauge model.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 78–82, May, 1989.     

Angular asymmetries and final state polarization effects ine^ - e^ + \to \gamma , {\rm Z}^0 \to q\bar qg

We discuss the forward-backward asymmetry and the polarization (mean helicity) of the quark, antiquark and gluon ine ^? e ⁺→γ, \(e^ - e^ + \to \gamma , {\rm Z}^0 \to q\bar qg\) , and of the inclusively produced hadrons (baryons or vector mesons) belonging to the most energetic jet. In the energy range of present interest we find substantial asymmetries (up to 30%) and polarizations (up to 15%), with partons (predominantly antiquarks) of positive helicity emitted preferentially in the forward direction.     

Renormalization-group improved calculation of the $B\to X_s\gamma$ branching ratio

Using results on soft-collinear factorization for inclusive B-meson decay distributions, a systematic study of the partial decay rate with a cut on photon energy is performed. For values of E ₀ below about 1.9 GeV, the rate can be calculated without reference to shape functions using a multi-scale operator product expansion (MSOPE). The transition from the shape-function region to the MSOPE region is studied analytically. The resulting prediction for the branching ratio depends on three large scales: m _b , , and . Logarithms associated with these scales are resummed at next-to-next-to-leading logarithmic order. While power corrections in turn out to be small, the sensitivity to the scale GeV (for GeV) introduces significant perturbative uncertainties, which so far have been ignored. The new theoretical prediction for the branching ratio with GeV is , where the first error is an estimate of perturbative uncertainties and the second one reflects uncertainties in input parameters. With this cut of all events are contained. When this fraction is combined with the previously best prediction for the total decay rate, one obtains , with a somewhat less conservative estimate of parametric uncertainties. The implications of larger theory uncertainties for new physics searches are briefly explored with the example of the type-II two-Higgs-doublet model, for which the lower bound on the charged-Higgs mass is reduced compared with previous estimates to approximately 200 GeV at 95% confidence level.Received: 18 September 2004, Revised: 18 January 2005, Published online: 21 February 2005     

Exclusive $B \to (K^*, \rho) \gamma$ decays in general two-Higgs-doublet models

By employing the QCD factorization approach, we calculated the next-to-leading order new physics contributions to the branching ratios, CP asymmetries, isospin and U-spin symmetry breaking of the exclusive decays ( ), induced by the charged Higgs penguins in general two-Higgs-doublet models. Within the considered parameter space, we found that (a) the new physics corrections to the observables are generally small in model I and model III-A, moderate in model II, but large in model III-B; (b) from the well measured branching ratios and upper limits, a lower bound of M_H > 200 GeV in model II was obtained, while the allowed range of M_H in model III-B is GeV; these bounds are comparable with those from the inclusive decay; (c) the NLO Wilson coefficient C₇(m_b) in model III-B is positive and disfavored by the measured value of isospin symmetry breaking , but it still cannot be excluded if we take the large errors into account; (d) the CP asymmetry in model III-B has an opposite sign to the one in the standard model (SM), which may be used as a good observable to distinguish the SM from model III-B; (e) the isospin symmetry breaking is less than in the region of preferred by the global fit result, but it can be as large as 20 to in the regions of and . The SM and model III-B predictions for are opposite in sign for small or large values of the CKM angles; (f) the U-spin symmetry breaking in the SM and the general two-Higgs-doublet models is generally small in size: .Received: 9 October 2003, Revised: 11 November 2003, Published online: 18 February 2004     

CP violation in $B \to \phi K$ decay with anomalous right-handed top quark couplings

We explore CP violation in decay processes in the presence of the anomalous right-handed and couplings. The complex anomalous top coupling can be a source of new CP violation and may lead to a deviation of the observed weak phase in decays, which accounts for the present disagreement of the observed between and decays. Direct CP violation is also predicted. Received: 27 November 2002, Revised: 28 March 2003, Published online: 2 June 2003     

An analysis of $B \to \eta' K$ decays using a global fit in QCD factorization

In the framework of QCD factorization, we study decays. In order to more reliably determine the phenomenological parameters X _H and X _A arising from end-point divergences in the hard spectator scattering and weak annihilation contributions, we use the global analysis for twelve and VP decay modes, such as , , , , et cetera, but excluding the modes whose (dominant) internal quark-level process is . Based on the global analysis, we critically investigate possible magnitudes of X _H,A and find that both large and small X _H,A terms are allowed by the global fit. In the case of the large X _H,A effects, the standard model (SM) prediction of the branching ratios (BRs) for is large and well consistent with the experimental results. In contrast, in the case of the small X _H,A effects, the SM prediction for these BRs is smaller than the experimental data. Motivated by the recent Belle measurement of through , if we take into account possible new physics effects on the quark-level process , we can explicitly show that these large BRs can be understood even in the small X _H,A case. Specifically, we present two new physics scenarios: R-parity violating SUSY and R-parity conserving SUSY.Received: 28 April 2004, Revised: 12 July 2004, Published online: 7 September 2004     

The radiative leptonic decays D^0 \to e^+ e^-\gamma,\mu^+\mu^-\gamma in the standard model and beyond

We present a calculation of the rare decay modes and in the framework of the standard model. For the short distance part we have derived QCD corrections to the Wilson coefficients involved, including C₉. The latter is found to be strongly suppressed by the corrections, leading to diminished values for the branching ratios in the 10^-10 range. Within SM the exclusive decays are dominated by long distance effects. Non-resonant contributions are estimated using heavy quark and chiral symmetries to be at the level of , compared to the contributions arising from , with . The total SM branching ratio is predicted to be in the range (1-. We also consider contributions coming from MSSM with and without R parity conservation. The effects from MSSM are significant only for the R parity violating case. Such contributions enhance the branching ratio to , based on appropriately allowed values for C₉ and C₁₀. This selects as a possible probe of new physics. Received: 25 October 2002 / Published online: 24 January 2003