Atomic Nuclear Physics

Applications of Perturbative QCD by Richard D Field

By Richard D Field

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The first log ( XI(l; XI)). 3) for these terms give finite contributions when integrating over Xl. 5) We can replace the /3 and /3 2 terms by a 6-function and arrive at d(T dXI = 2a. 6) using f3 1 - - dXI = -log(/3), o 1 - Xl 1 - f3 1 --log(l - Xl) dXI = o 1- Xl 1 1 xI) } . 8) / Vi ,I,111i1

The fourth term is order and will be neglected. The virtual amplitude, A v , in Fig. 6 Virtual gluon corrections to the Born amplitude in Fig. 3. ) = 30"0 g. 7) and where O"v(virtual) refers to the order a. virtual contribution arising from / Vi rt u,,) ()II" " , (J" rrr \'tlu" li :l," 3 '1 \ Figure 2,7 Virtual gluon corrections to the Born amplitude in Fig. 3. the vertex correction. The color factor tr(TaTa) = 4 has been included. 8) = for the gluon propagator (7J 0 is the Feynman gauge, 7J -1 is the Land au gauge, see Appendix C).

F. D. , 1984. 3. W . G. Roberts, Physics Reports 120, 275 (1985) . 4. W. De Boer, SLAC-PUB-4428, invited talk at the xth Warsaw Symposium on Elementary Particle Physics, Kazimierz, Poland, May 25-29, 1987. / C IIAP'I' En 2 Electron-Positron Annihilations: Total Rate to Hadrons 15 10 <;1. t,loI II ld,,' III. ('d oi>j,·(' t,. ntly bing cr atcd and til n die after living the time allowed them by th e un certainty principle. The tim elike virtual photon that is produced when a high energy electron and positron annihilate provides an excellent probe of the vacuum .

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