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 Physics , 1993, DOI: 10.1016/0370-2693(94)90503-7 Abstract: We exhibit a complementary relationship between resonant $WZ$ and nonresonant $W^+W^+$ scattering in a chiral Lagrangian model of the electroweak symmetry breaking sector with a dominant $\rho$'' meson. We use the model to estimate the minimum luminosity for the LHC to ensure a no-lose'' capability to observe the symmetry breaking sector.
 She-Sheng Xue Physics , 2015, DOI: 10.1016/j.physletb.2015.03.038 Abstract: In the fermion content and gauge symmetry of the standard model (SM), we study the four-fermion operators in the torsion-free Einstein-Cartan theory. The collider signatures of irrelevant operators are suppressed by the high-energy cutoff (torsion-field mass) $\Lambda$, and cannot be experimentally accessible at TeV scales. Whereas the dynamics of relevant operators accounts for (i) the SM symmetry-breaking in the domain of infrared-stable fixed point with the energy scale $v\approx 239.5$ GeV and (ii) composite Dirac particles restoring the SM symmetry in the domain of ultraviolet-stable fixed point with the energy scale ${\mathcal E}\gtrsim 5$ TeV. To search for the resonant phenomena of composite Dirac particles with peculiar kinematic distributions in final states, we discuss possible high-energy processes: multi-jets and dilepton Drell-Yan process in LHC $p\,p$ collisions, the resonant cross-section in $e^-e^+$ collisions annihilating to hadrons and deep inelastic lepton-hadron $e^-\,p$ scatterings. To search for the nonresonant phenomena due to the form-factor of Higgs boson, we calculate the variation of Higgs-boson production and decay rate with the CM energy in LHC. We also present the discussions on four-fermion operators in the lepton sector and the mass-squared differences for neutrino oscillations in short baseline experiments.
 High Energy Physics - Phenomenology , 2007, DOI: 10.1142/S0217751X08041888 Abstract: Charmless 3-body decays of $B$ mesons are studied using a simple model based on the framework of the factorization approach. We have identified a large source of the nonresonant signal in the matrix elements of scalar densities, e.g. $$. This explains the dominance of the nonresonant background in B\to KKK decays, the sizable nonresonant fraction of order (35\sim 40)% in K^-\pi^+\pi^- and \bar K^0\pi^+\pi^- modes and the smallness of nonresonant rates in B\to \pi\pi\pi decays. We have computed the resonant and nonresonant contributions to charmless 3-body decays and determined the rates for the quasi-two-body decays B\to VP and B\to SP. Time-dependent CP asymmetries \sin2\beta_{\rm eff} and A_{CP} in K^+K^-K_S,K_SK_SK_S,K_S\pi^+\pi^- and K_S\pi^0\pi^0 modes are estimated.  Hai-Yang Cheng Physics , 2007, DOI: 10.1142/S0217751X08041888 Abstract: Charmless 3-body decays of B mesons are studied using a simple model based on the framework of the factorization approach. We have identified a large source of the nonresonant signal in the matrix elements of scalar densities, e.g.$$. This explains the dominance of the nonresonant background in $B\to KKK$ decays, the sizable nonresonant fraction of order $(35\sim 40)%$ in $K^-\pi^+\pi^-$ and $\bar K^0\pi^+\pi^-$ modes and the smallness of nonresonant rates in $B\to \pi\pi\pi$ decays. We have computed the resonant and nonresonant contributions to charmless 3-body decays and determined the rates for the quasi-two-body decays $B\to VP$ and $B\to SP$. Time-dependent CP asymmetries $\sin2\beta_{\rm eff}$ and $A_{CP}$ in $K^+K^-K_S,K_SK_SK_S,K_S\pi^+\pi^-$ and $K_S\pi^0\pi^0$ modes are estimated.