123019191
Unified Treatment of Gauge and Higgs Fields in Non-Commutative Differential Geometry
122011758
Note on Two-Higgs-Doublets Model in Non-Commutative Differential Geometry
It is shown that the non-commutative differential geometry fails to reproduce the most general Higgs potential of two-Higgs-doublets model. To recover physically sensible potential additional terms are needed. A general formula for inner products of basis two-forms in the non-commutative differential calculus is proposed by requiring that the inner products be expressed in terms of those of one-form basis. It leads to the absence of flavor changing neutral current in the tree level and of spontaneous jdP provided they are not induced by additional terms.
119911003
Scaling Violation and Deep Inelastic Contribution to p-n Mass Difference
18837015
Lorentz-Invariant Non-Commutative Space-Time Based on DFR Algebra
It is argued that the familiar algebra of non-commutative space-time with c-number θ µν is inconsistent from a theoretical point of view. Consistent algebras are obtained by promoting θ µν to an anti-symmetric tensor operator ˆ µν . The simplest among them is the Doplicher-Fredenhagen-Roberts (DFR) algebra, in which the triple commutator among the coordinate operators is assumed to vanish. This allows us to define the Lorentz-covariant operator fields on the DFR algebra as operators diagonal in the 6-dimensional θ-space of the hermitian operators, ˆ θ µν . It is shown that we then recover the Carlson-Carone-Zobin (CCZ) formulation of the Lorentz-invariant non-commutative gauge theory with no need for the compactification of the extra 6 dimensions. It is also pointed out that a general argument concerning the normalizability of the weight function in the Lorentz metric leads to the division of the θ-space into two disjoint spaces not connected by any Lorentz transformation, so that the CCZ covariant moment formula holds in each space separately. A non-commutative generalization of Connes’ two-sheeted Minkowski space-time is also proposed. Two simple models of quantum field theory are reformulated on M4 × Z2 obtained in the commutative limit.
12544363
Renormalization group analysis of the Higgs boson mass in a noncommutative differntial geometry
Within one loop approximation, the renormalization group analysis of the Higgs boson mass is performed with an initial condition induced by m H = √ 2m W which is presented in the new scheme of our noncommutative differential geometry for the reconstruction of the standard model. This initial condition holds at energy derived from g = (5/3)g with the running SU(2) L and U(1) Y gauge coupling constants. sin θ W = 3/8 is obtained under same conditions. However, contrary to SU(5) GUT without supersymmetry, the grand unification of coupling constant is not realized in this scheme. The physical mass of the Higgs boson considerably depends on the top quark mass mtop since the top quark Yukawa coupling constants gives a large negative contribution to β function of the Higgs quartic coupling constant in wide range. The Higgs boson mass varies from 153.42GeV to 191.94GeV corresponding to 168GeV ≤ mtop ≤ 192GeV. We find mH = 164.01GeV for mtop = 175GeV and m H = 171.92GeV for mtop = 180GeV. PACS number(s): 11.15.Ex,02.40.-k,12.15.-y,12.10.Kt
122636061
Connes' Gauge Theory and Weinberg-Salam Model of Leptons on Noncommutative Space-Time
Connes’ gauge theory is defined on noncommutative space-time. It is applied to formulate a noncommutative Weinberg-Salam (WS)model in the leptonic sector with νR. It is shown that the model has two Higgs doublets and a gauge boson sector after the Higgs mechanism contains the massive charged gauge fields, two massless and two massive neutral gauge fields. It is also shown that, at the tree level, the neutrino couples to one of two ‘photons’, the electron interacts with both ‘photons’, and there exists a nontrivial νR-interaction on noncommutative space-time. To investigate the commutative limit of the model at the Lagrangian level, we generalize the charge conjugation transformation in QED to that in noncommutative QED. We show that there are two different generalizations, the C and � � � � � � .
118421784
Top cross section measurement at ATLAS
Measurements of the production cross section of top-quark pairs ($t\bar t$) in $pp$ collisions at $\sqrt{s}$ = 7 TeV are presented using 35 \ipb\ of data recorded with the ATLAS detector at the Large Hadron Collider. Events are selected in the single lepton (electron or muon) and dilepton topologies with multi-jets, and large missing transverse energy. The result is $\sigma_{t\bar t} = 180 \pm 9\,\mathrm{(stat.)} \pm15 \,\mathrm{(syst.)} \pm 6 \,\mathrm{(lumi.)\,pb}$, which agrees with the Standard Model prediction.