Download QCD resummation techniques by Tibor Kúcs PDF

By Tibor Kúcs

Show description

Read Online or Download QCD resummation techniques PDF

Best waves & wave mechanics books

Waves and Instabilities in Plasmas

This publication provides the contents of a CISM path on waves and instabilities in plasmas. For newbies and for complex scientists a overview is given at the kingdom of data within the box. buyers can receive a wide survey.

Excitons and Cooper Pairs : Two Composite Bosons in Many-Body Physics

This booklet bridges a niche among significant groups of Condensed subject Physics, Semiconductors and Superconductors, that experience thrived independently. utilizing an unique standpoint that the most important debris of those fabrics, excitons and Cooper pairs, are composite bosons, the authors increase basic questions of present curiosity: how does the Pauli exclusion precept wield its energy at the fermionic elements of bosonic debris at a microscopic point and the way this impacts their macroscopic physics?

Additional info for QCD resummation techniques

Example text

54), we can express this contribution in a form given by Eq. 53) with a different kernel K(n,m) . 45 The contribution from Fig. 4b can be written M −M n−1 n−1 M d kj− −M j=1 × Sa′′i ai ... ain b c 1 π d kj− (Fig. 4b) = (ki− , ki−1 , . . , ki−nπ ; ki+ π j=1 = 0, ki+1 dD k (2π)D = 0, . . , ki+nπ = 0; ki ⊥ , ki1 ⊥ , . . , kinπ ⊥ ; k, l; q, η) (nπ¯ +2) a¯i1 ... a¯in b c × JA k¯i−1 , . . , k¯i−n ; k¯i+1 = 0, . . , k¯i+n = 0; π ¯ π ¯ π ¯ k¯i1 ⊥ , . . , k¯inπ¯ ⊥ ; k, l; pA , q, η . 55) The flow of momenta k and l is exhibited in Fig.

34) as well as of the circled vertex is given in Fig. 2. The dashed lines in Fig. 4 represent ghosts, and these are also given in Fig. 4. The four vectors η, given in Eq. 35) appearing in Eq. m. frame, Eq. 2). 36) for later reference. In Fig. 4, we sum over all external gluons. This is indicated by the sum over i. In addition, we sum over all possible insertions of external soft gluons {i1 , . . , inπ } ∈ {1, . . , n}\{i}. This summation is denoted by the symbol π. We note that at lowest order, with only a gluon i attached to the vertical blob in Fig.

Kn (p1 , . . , pm ), and the Lorentz and color indices of the soft gluons attached to the jet A (B), µ1 , . . , µn ; a1 , . . , an (ν1 , . . , νm ; b1 , . . , bm ). The momenta of the soft gluons attached to the jets n i=1 A and B satisfy the constraints ki = q and m j=1 pj = q. According to the results of the power counting, the soft gluons couple to jet A via the minus components of their polarizations, and to jet B via the plus components of their polarizations. Therefore, only the following components survive in the leading power approximation n (n) a ...

Download PDF sample

Rated 4.46 of 5 – based on 42 votes