In order to describe forward hadron productions in high-energy nuclear collisions, we propose a Monte-Carlo implementation of Dumitru-Hayashigaki-Jalilian-Marian formula with the unintegrated gluon distribution obtained numerically from running-coupling BK equation. We discuss influence initial conditions for equation by comparing model constrained global fit small-x HERA data and newly proposed one running coupling MV model.

There is an interesting but not-so-popular quantity called pseudo orbital angular momentum (OAM) in the Landau-level system, besides well-known canonical and mechanical OAMs. The OAM can be regarded as a gauge-invariant extension of OAM, which formally gauge invariant reduces to certain gauge. Since both are invariant, it impossible judge those superior other solely from principle. However, these two OAMs have totally different physical meanings. shows manifest observability clear...

We study jet substructures of a boosted polarized top quark, which undergoes the semileptonic decay $t\ensuremath{\rightarrow}b\ensuremath{\ell}\ensuremath{\nu}$, in perturbative QCD framework. The mass distribution (energy profile) is factorized into convolution hard top-quark kernel with bottom-quark function (jet energy function). Computing to leading order and inputting latter functions from resummation formalism, we observe that not sensitive helicity but profile is: accumulated faster...

We study jet substructures of a boosted polarized top quark, which undergoes the hadronic decay $t\ensuremath{\rightarrow}bu\overline{d}$, in perturbative QCD framework, focusing on energy profile and differential profile. These are factorized into convolution hard top-quark kernel with bottom-quark function $W$-boson function, where latter is further two light-quark functions. Computing kernels to leading order including resummation effect functions, we show that useful observable for...

We investigate the heavy quark mass effects in virtual photon structure functions Fγ2 (x, Q2, P2) and FγL framework of mass-independent renormalization group equation (RGE). study a formalism which are treated based on parton picture as well operator product expansion (OPE), perform numerical evaluation Fγeff to next-leading order (NLO) QCD.

We investigate target mass effects in the unpolarized virtual photon structure functions ${F}_{2}^{\ensuremath{\gamma}}(x,{Q}^{2},{P}^{2})$ and ${F}_{L}^{\ensuremath{\gamma}}(x,{Q}^{2},{P}^{2})$ perturbative QCD for kinematical region ${\ensuremath{\Lambda}}^{2}\ensuremath{\ll}{P}^{2}\ensuremath{\ll}{Q}^{2}$, where $\ensuremath{-}{Q}^{2}(\ensuremath{-}{P}^{2})$ is squared of probe (target) $\ensuremath{\Lambda}$ scale parameter. obtain Nachtmann moments then, by inverting moments, we get...

We investigate the heavy quark mass effects on parton distribution functions in unpolarized virtual photon up to next-to-leading order QCD. Our formalism is based QCD-improved model described by DGLAP evolution equation as well operator product expansion supplemented mass-independent renormalization group method. evaluate various components of distributions inside with massive effects, which are included through initial condition for distributions, or equivalently from matrix element...

We investigated top quark effects on virtual photon structure functions by pQCD. include the mass function with parton model and operator product expansion up to next-to-leading order in QCD. also consider threshold effect running coupling constant calculation effective a matching condition. The numerical calculations are kinematical region expected at future international linear collider.

We perform perturbative QCD factorization of infrared radiations associated with an energetic $b$ quark from a polarized top decay, taking the semileptonic channel as example. The resultant formula is expressed convolution infrared-finite heavy-quark kernel $b$-quark jet function. Evaluating up to leading order in coupling constant and adopting function resummation, we predict dependence spin analyzing power for on invariant mass jet. It observed that could be enhanced by factor 2 compared...

The nonlinear massive plane wave solution of the classical scalar field in Higgs potential is revisited to study mass generation and particle creation. In particular, by assuming that system slightly excited state early universe it described solution, we mechanism for vector bosons a heavy fermion quantum theory around field. gives transition from vacuum pair fermions. We present new formulae probability density production process particles standard model elementary physics. densities...

The nonlinear massive plane wave solution of the classical scalar field in Higgs potential is revisited to study mass generation and particle creation. In particular, by assuming that system slightly excited state early universe it described solution, we mechanism for vector bosons a heavy fermion quantum theory around field. gives transition from vacuum pair fermions. We present new formulae probability density production process particles standard model elementary physics. densities...

Photon structure functions in supersymmetric QCD are investigated terms of the parton model where squark contributions evaluated. We calculate eight virtual photon by taking discontinuity massive one-loop diagrams photon-photon forward amplitude. The model-independent positivity constraints derived from Cauchy-Schwarz inequalities satisfied calculation and actually two equality relations hold for contribution. also show that our polarized function $g_1^\gamma$ real leads to vanishing 1st...

We investigate the virtual photon structure function in supersymmetric QCD (SQCD), where we have squarks and gluinos addition to quarks gluons. Taking into account heavy particle mass effects leading order SQCD evaluate numerically study its behavior for cases.

We investigate oscillating solutions of the equation motion for Higgs potential. The are described by Jacobian elliptic functions. Classifying classical solutions, we evaluate a possible parameter-space initial conditions. In order to construct field theory around quantum fluctuations introduced. This alternative perturbation method is useful describe non-trivial state. reduces standard one if take solution at vacuum expectation value. It shown that transition probability between and...

The next-to-next-to-leading order (NNLO) QCD analysis is performed for the virtual photon structure functions which can be measured in double-tag events two-photon processes $e^+e^-$ collisions. We investigate perturbative evaluation of $F_2^γ(x,Q^2,P^2)$ to NNLO and $F_L^γ(x,Q^2,P^2)$ NLO with without taking into account target mass effects, are relevant large $x$ region. also carry out phenomenological experimentally accessible effective function $F_{\rm eff}^γ=F_2^γ+(3/2)F_L^γ$.

We analyse the semileptonic decay of a polarised top-quark with large velocity based on perturbative QCD factorisation framework. Thanks to and spin decomposition, production part can be factorised dependence is introduced in part. The converted top-jet function which describes distribution jet observables translated helicity boosted top. Using this function, energy profile b-jet investigated it turned out that sub-jet for helicity-minus top accumulated faster than helicity-plus This...

We investigate the virtual photon structure functions in supersymmetric QCD, where we have squarks and gluinos addition to quarks gluons.For parton model, evaluate eight study squark mass effects as well positivity constraints.We also calculate heavy sparticle framework of DGLAP equations with appropriate boundary conditions for particles leading order SUSY QCD.