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Register a new userMultiplicity distribution of gluons in pQCD
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The multiplicity distribution of the gluons produced at the high energy is evaluated in BFKL approach. The distribution has Poisson form that can explain experimentally observed KNO scaling.
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Analytical study of the rapidity distribution of the final state particles in deep inelastic scattering at small x is presented. We separate and analyse three sources of particle production: fragmentation of the quark-antiquark pair, accompanying coherent soft gluon radiation due to octet color exchange in the t-channel, and fragmentation of gluons that form parton distribution functions. Connection to Catani-Ciafaloni-Fiorani-Marchesini (CCFM) equations and the role of gluon reggezation are also discussed.
We review recent developments in the perturbative QCD approach to exclusive hadronic B meson decays. We discuss the important next-to-leading-order corrections to B -> pi K, pi pi, and the penguin-dominated B -> PV modes, where P (V) is a pseudo-scalar (vector) meson.
In this paper we derived in QCD the BFKL linear, inhomogeneous equation for the factorial moments of multiplicity distribution($M_k$) from LMM equation. In particular, the equation for the average multiplicity of the color-singlet dipoles($N$) turns out to be the homogeneous BFKL while $M_k propto N^k$ at small $x$. Second, using the diffusion approximation for the BFKL kernel we show that the factorial moments are equal to: $M_k=k!N( N-1)^{k-1}$ which leads to the multiplicity distribution:$ frac{sigma_n}{sigma_{in}}=frac{1}{N} ( frac{N,-,1}{N})^{n - 1}$. We also suggest a procedure for finding corrections to this multiplicity distribution which will be useful for descriptions of the experimental data.
We discuss the multiplicity distribution for highest accessible energies of $pp$- and $bar pp$- interactions from the point of view of the multiparton collisions. The inelastic cross sections for the single, $sigma_1$, and multiple (double and, presumably, triple, $sigma_{2+3}$) parton collisions are extracted from the analysis of the experimental data on the multiplicity distribution up to the Tevatron energies. It follows that $sigma_1$ becomes energy independent while $sigma_{2+3}$ increases with $sqrt{s}$ for $sqrt{s}ge$ 200 GeV. The observed growth of $<p_{perp}>$ with multiplicity is attributed to the increasing role of multiparton collisions for the high energy $bar pp(pp)$- inelastic interactions.
The conventional and linearly polarized Weizsacker-Williams gluon distributions at small x are defined from the two-point function of the gluon field in light-cone gauge. They appear in the cross section for dijet production in deep inelastic scattering at high energy. We determine these functions in the small-x limit from solutions of the JIMWLK evolution equations and show that they exhibit approximate geometric scaling. Also, we discuss the functional distributions of these WW gluon distributions over the JIMWLK ensemble at rapidity $Ysim 1/alpha_s$. These are determined by a 2d Liouville action for the logarithm of the covariant gauge function $g^2 mathrm{tr},A^+(q)A^+(-q)$. For transverse momenta on the order of the saturation scale we observe large variations across configurations (evolution trajectories) of the linearly polarized distribution up to several times its average, and even to negative values.
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