Evolution equation for the heavy quark distribution function in the parton model approach
نویسندگان
چکیده
We explore the perturbative QCD corrections to the inclusive semileptonic decays of B mesons. In inclusive B decay processes the parton picture works well and the scaling feature manifests because the mass of b quark is larger than the QCD scale. Due to this property, the decay rate may be expressed by a single structure function describing the light–cone distribution of b quark apart from the kinematic factor. We derive a q evolution equation for the distribution function, which violates the scaling property through the Altarelli–Parisi type approach. The evolution equation is numerically solved and its phenomenological implications are also discussed. Typeset using REVTEX [email protected] [email protected] 1
منابع مشابه
ترکش گلوئون به چارمونیوم برداری J/psi با در نظر گرفتن اثر تابع موج مزون
Studying the production or decay processes of heavy quarkonia (the bound state of heavy quark-antiquark) is a powerful tool to test our understanding of strong interaction dynamics and QCD theory. Fragmentation is the dominant production mechanism for heavy quarkonia with large transverse momentum. The fragmentation refers to the production process of a parton with high transverse momentum whic...
متن کاملHeavy Quark Production and Non-linear Gluon Evolution at the Lhc
We investigate the importance of unitarity corrections to parton evolution in heavy flavor production at the LHC. The gluon distribution is determined with a fit to HERA data applying a unified BFKL-DGLAP approach, in which the non-linear evolution is described by the Balitsky-Kovchegov equation. First we estimate bb̄ production at CDF and D0. Then, cross sections for heavy quark production at v...
متن کاملPAIRED ANISOTROPIC DISTRIBUTION FOR IMAGE SELECTIVE SMOOTHING
In this paper, we present a novel approach for image selective smoothing by the evolution of two paired nonlinear partial differential equations. The distribution coefficient in de-noising equation controls the speed of distribution, and is determined by the edge-strength function. In the previous works, the edge-strength function depends on isotropic smoothing of the image...
متن کاملFinal state dipole showers and the DGLAP equation
We study a parton shower description, based on a dipole picture, of the final state in electron-positron annihilation. In such a shower, the distribution function describing the inclusive probability to find a quark with a given energy depends on the shower evolution time. Starting from the exclusive evolution equation for the shower, we derive an equation for the evolution of the inclusive qua...
متن کاملEvolution of the Light–Cone Distribution Function for a Heavy Quark
We compute the one-loop anomalous dimension for the light cone distribution function of a heavy quark and solve the corresponding evolution equation analytically. Some implications of the results for inclusive B decays are discussed.
متن کامل