Extended Technicolor Corrections to the Zbb Vertex

We reconsider the non-oblique corrections to the Zbb vertex from the sideways and diagonal ETC boson exchange. We find that the sideways ETC boson exchange decreases the Zbb width while the diagonal ETC boson exchange increases it. For N_TC = 2, the correction to the Zbb branching ratio is consistent with the recent measurements.     

Second-Order Corrections to Mean Field Evolution of Weakly Interacting Bosons. I.

Inspired by the works of Rodnianski and Schlein [31] and Wu [34,35], we derive a new nonlinear Schrödinger equation that describes a second-order correction to the usual tensor product (mean-field) approximation for the Hamiltonian evolution of a many-particle system in Bose-Einstein condensation. We show that our new equation, if it has solutions with appropriate smoothness and decay properties, implies a new Fock space estimate. We also show that for an interaction potential ${v(x)= \epsilon \chi(x) |x|^{-1}}Inspired by the works of Rodnianski and Schlein [31] and Wu [34,35], we derive a new nonlinear Schr?dinger equation that describes a second-order correction to the usual tensor product (mean-field) approximation for the Hamiltonian evolution of a many-particle system in Bose-Einstein condensation. We show that our new equation, if it has solutions with appropriate smoothness and decay properties, implies a new Fock space estimate. We also show that for an interaction potential v(x) = ec(x) |x|^-1{v(x)= \epsilon \chi(x) |x|^{-1}}, where e{\epsilon} is sufficiently small and c ? C₀^￥{\chi \in C_0^{\infty}} even, our program can be easily implemented locally in time. We leave global in time issues, more singular potentials and sophisticated estimates for a subsequent part (Part II) of this paper.     

On Self Energy and Vertex Corrections to the Electrical Conductivity of Plasmas

In the framework of linear response theory the density correction O(n^1/2 ln n) to the electrical conductivity of a nondegenerate Coulomb plasma due to equilibrium correlations is calculated.     

A Non-unitary Mapping from Cooper Pairs to Bosons

We derive a non-hermitian boson-fermion Hamiltonian, that is equivalent to the entirely fermionic Richardson Hamiltonian which describes the dynamics of conduction electrons in a superconductor. This is done using a generalized Dyson mapping, that replaces Cooper pairs with bosons. We show that the calculation of some physical quantities is simpler when one uses the boson-fermion Hamiltonian rather than the original Richardson Hamiltonian.     

Unified Field Theory with EINSTEINian Photons and Heavy Bosons as Field Quants

After discussing in two previous papers [1, 2] the classical electrodynamics which corresponds to the quantum electrodynamics with two sorts of photons (photons with zero rest mass and nonvanishing rest mass), in the present paper the general field theory of a vector field A^v with two sorts if field quanta is given. It is shown that the postulate of the “unity of the four-current” determining the physical contents of this theory makes it possible to regard it as a classical ansatz of a unified theory of the electromagnetic and the weak interactions. From the “unity of the currents” results that the electrons are δ-like point-particles with a finite self-potential and finite field masses M = ε²/2 kc^?2. The COMPTON wave-length of the heavy photons k^?1 = h/mc has the meaning of an “elementary length” for the electromagnetic interactions and the rest mass m = khc^?1 of these bosons is of the order of a baryon mass.     

Corrections to from CP asymmetries in decays

Neglecting smaller amplitudes the time-dependent CP asymmetry in penguin-dominated transitions (such as B→K_S) is expected to equal ±sin(2β), an expectation not borne out by the present average experimental data. I compute and discuss the correction due to the smaller amplitudes in the framework of QCD factorization.     

Corrections to the Hawking Tunneling Radiation from MDR

We investigate some aspects of black hole (BH) thermodynamics in the framework of a modified dispersion relation. We calculate a minimal length and a maximal momentum to find a relation between spacetime dimensions and the presence of logarithmic prefactor in the black hole entropy relation. We show that the logarithmic prefactor appears not only in an even number of dimensions but also in an odd number of dimensions. In addition, the sign of the logarithmic factor is different for positive values of α in all dimensions. Using the corrected entropy, the black hole radiation probability is calculated in the tunneling formalism, which is corrected up to the same order of the Planck length and shows a more probable quantum tunneling.     

Supersymmetric Electroweak Corrections to the Decay of the Heavy Chargino into the Light Chargino and Z Boson

The supersymmetric electroweak corrections to the partial width of the decay \tilde{χ}₂⁺→ Z⁰\tilde{χ}₁⁺, including the contributions from the third generation quarks and squarks, are presented within the minimal supersymmetric standard model. With the reasonable parameters sets, which open this decay channel kinematically, the relative corrections can reach the value of ～ -6%. Therefore they should be taken into consideration for the precise experimental measurement at future colliders.     

Supersymmetric Electroweak Corrections to the Decay of the Heavy Chargino into the Light Chargino and Z Boson

The supersymmetric electroweak corrections to the partial width of the decay x2 → Z0x1- , including thecontributions from the third generation quarks and squarks, are presented within the minimal supersymmetric standardmodel. With the reasonable parameters sets, which open this decay channel kinematically, the relative corrections canreach the value of ～ -6%. Therefore they should be taken into consideration for the precise experimental measurementat future colliders.     

Tunneling Radiation of Massive Vector Bosons from Dilaton Black Holes

It is well known that Hawking radiation can be treated as a quantum tunneling process of particles from the event horizon of black hole. In this paper, we attempt to apply the massive vector bosons tunneling method to study the Hawking radiation from the non-rotating and rotating dilaton black holes. Starting with the Proca field equation that govern the dynamics of massive vector bosons, we derive the tunneling probabilities and radiation spectrums of the emitted vector bosons from the static spherical symmetric dilatonic black hole, the rotating Kaluza-Klein black hole, and the rotating Kerr-Sen black hole. Comparing the results with the blackbody spectrum, we satisfactorily reproduce the Hawking temperatures of these dilaton black holes, which are consistent with the previous results in the literature.     

Derivation of Effective Chiral Lagrangian Involving PSGB and Vector Bosons from QCD

The effective chiral Lagrangian for a matter field content consisting of pseudo-scalar Goldstone bosons and vector bosons (with hidden symmetry) is derived from the underlying QCD theory. No approximations are made. All the free parameters of the effective chiral Lagrangian are expressed in terms of QCD-based Green's functions. These may be regarded as the QCD definitions of these Lagrangian coefficients.     

Search for New Heavy Higgs Bosons in the ATLAS and CMS Experiments at the LHC (Brief Review)

JETP Letters - The discovery of the Higgs boson by the ATLAS and CMS collaborations in 2012 was an important milestone in the modern elementary particle physics, which finally confirm the Standard...     

Phenomenology of local scale invariance: from conformal invariance to dynamical scaling

Statistical systems displaying a strongly anisotropic or dynamical scaling behaviour are characterized by an anisotropy exponent θ or a dynamical exponent z. For a given value of θ (or z), we construct local scale transformations, which can be viewed as scale transformations with a space–time-dependent dilatation factor. Two distinct types of local scale transformations are found. The first type may describe strongly anisotropic scaling of static systems with a given value of θ, whereas the second type may describe dynamical scaling with a dynamical exponent z. Local scale transformations act as a dynamical symmetry group of certain non-local free-field theories. Known special cases of local scale invariance are conformal invariance for θ=1 and Schrödinger invariance for θ=2.The hypothesis of local scale invariance implies that two-point functions of quasiprimary operators satisfy certain linear fractional differential equations, which are constructed from commuting fractional derivatives. The explicit solution of these yields exact expressions for two-point correlators at equilibrium and for two-point response functions out of equilibrium. A particularly simple and general form is found for the two-time autoresponse function. These predictions are explicitly confirmed at the uniaxial Lifshitz points in the ANNNI and ANNNS models and in the aging behaviour of simple ferromagnets such as the kinetic Glauber–Ising model and the kinetic spherical model with a non-conserved order parameter undergoing either phase-ordering kinetics or non-equilibrium critical dynamics.     

One-Loop QCD Corrections to the Inclusive Production Cross-Section for Heavy Quarks in p Collisions at High Transverse Energies

We calculate one-loop QCD corrections to the production cross-section for heavy quarks in protonantiproton collisions. We are interested in the behaviour of the cross-section at high transverse energies. At high P_T the quark mass should become an irrelevant parameter. Therefore we work in the framework of massless QCD and absorb all mass singularities in a redefinition of the parton densities and fragmentation functions. Numerical results of the cross-section at √S = 0.63, 1.8 and 10 TeV are presented and the dependence of these results on the factorization scheme is examined.     

Corrections to Snell’s reflection law from atomic thermal motion

Light reflection from a dielectric slab, composed of identical atoms subject to thermal motion, is studied theoretically under the Born approximation. When the atomic motion is assumed to have a fixed magnitude, it is found that, although light is still reflected into the same incident plane, it is actually along two directions, all different from the direction specified by Snell’s law. It is also found that along these two reflection directions the light has different frequencies.     

包围有暗能量黑洞的Hawking辐射修正

运用由Banerjee和Majhi所发展的非半经典近似的Hamiliton-Jacobi方法,计算了被暗能量包围的黑洞温度和熵,得到了修正后的温度和熵.在修正后的熵中,面积定理包含面积对数修正和面积幂的倒数。     

Large-Scale Corrections to the CMB Anisotropy from Asymptotic de Sitter Mode

In this study, large-scale effects from asymptotic de Sitter mode on the CMB anisotropy are investigated. Besides the slow variation of the Hubble parameter onset of the last stage of inflation, the recent observational constraints from Planck and WMAP on spectral index confirm that the geometry of the universe can not be pure de Sitter in this era. Motivated by these evidences, we use this mode to calculate the power spectrum of the CMB anisotropy on the large scale. It is found that the CMB spectrum is dependent on the index of Hankel function ν which in the de Sitter limit \(\nu \rightarrow \frac {3}{2}\), the power spectrum reduces to the scale invariant result. Also, the result shows that the spectrum of anisotropy is dependent on angular scale and slow-roll parameter and these additional corrections are swept away by a cutoff scale parameter H ? M_? < M _P .     

Higher-Order Corrections to the Effective Gravitational Action from Noether Symmetry Approach

Higher-order corrections of the Einstein–Hilbert action of general relativity can be recovered by imposing the existence of a Noether symmetry to a class of theories of gravity where the Ricci scalar R and its d'Alembertian R are present. In several cases, it is possible to get exact cosmological solutions or, at least, to simplify the dynamics by recovering constants of motion. The main result is that a Noether vector seems to rule the presence of higher-order corrections of gravity.     

Harmonic Oscillator in External Fields: Applications to Trapped Bosons and Fermions

Properties of harmonic oscillator in external fields are studied. The formalism developed is applied to a harmonic oscillator in a nonhomogeneous gravitational field. Partition functions and thermodynamic potentials for trapped Bose and Fermi gases are found. Thermodynamics of trapped Bosons and Fermions in external fields is discussed.     

Corrections to scaling and finite size effects

Numerical investigations of critical phenomena might lead to different leading correction-to-scaling terms, depending on the type of analysis. We discuss which leading correction-to-scaling behavior is expected for finite system sizes, using two-dimensional percolation as our main example. It turns out that a finite-size scaling from length L to L - 1 is less perturbed by correction-to-scaling terms.