G. Curci, W. Furmanski and R. Petronzio, Nucl. Phys. B175 (1980) 27; W. Furmanski and R. Petronzio, Phys. Lett. 97B (1980) 437. Home/Search Document Not in Database Summary Related Articles Check |
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Photon Fragmentation at LEP - Gehrmann--De Ridder Institut (Correct)
....has been presented in [8] Combining all unresolved contributions present in the processes shown in Fig. 1(a) d) yields a result that still contains single and double poles in ffl. These pole terms are however proportional to the universal next to leading order splitting function P (1) qfl [9] and a convolution of two lowest order splitting functions, P (0) qq Omega P (0) qfl ) Hence, they can be factorized into the next to leading order counterterm of the bare quark to photon fragmentation function [10] present in the contribution depicted in Fig. 1(e) yielding a finite and ....
.... 2 q 2 P (0) q fl (z) ffe 2 q 2 ff s 2 P (1) q fl (z) ff s 2 P (0) q q Omega D q fl (z; F ) 5) 6 P (0) q q and P (1) q fl are respectively the lowest order quark to quark and the next to leading order quark to photon universal splitting functions [9, 16, 17]. The next to leading order fragmentation function can be expressed as an exact solution of this evolution equation up to O(ffff s ) 8] D q fl (z; F ) ffe 2 q 2 P (0) qfl (z) log 2 F 2 0 ffe 2 q 2 ff s 2 N 2 Gamma 1 2N P (1) qfl (z) log 2 F 2 0 ....
G. Curci, W. Furmanski and R. Petronzio, Nucl. Phys. B175 (1980) 27; W. Furmanski and R. Petronzio, Phys. Lett. 97B (1980) 437.
Photon Fragmentation in - Large-Q Collisions At (Correct)
.... 2 C F P (1) qfl (z) ln 2 F 2 0 ff s 2 C F P (0) qq (z) ln 2 F 2 0 Omega ffe 2 q 2 1 2 P (0) qfl (z) ln 2 F 2 0 D q fl (z; 0 ) # D q fl (z; 0 ) 9) where P (1) qfl (z) is the next to leading order quark to photon splitting function [16] and P (0) qq (z) is the well known LO qq splitting function. D q fl (z; 0 ) is the initial value of the NLO FF, which contains all unknown long distance contributions. The result in (9) is an exact solution of the evolution equation up to O(ffff s ) Based on the above arguments, also the NLO ....
G. Curci, W. Furmanski and R. Petronzio, Nucl. Phys. B175 (1980) 27; W. Furmanski and R. Petronzio, Phys. Lett. 97B (1980) 437
Factorization and Non-factorization in Diffractive Hard.. - Arjun Berera Department (Correct)
....is to imply that they are multiplied by an exponential of a line integral of the vector potential as shown in [1] The diffractive parton distributions are ultraviolet divergent and require renormalization. It is convenient to perform the renormalization using the MS prescription, as discussed in [3,4]. This introduces a renormalization scale into the functions. In applications, one sets to be the same order of magnitude as the hard scale of the physical process. The renormalization involves ultraviolet divergent subgraphs. Subgraphs with more than two external parton legs carrying physical ....
G. Curci, W. Furmanski and R. Petronzio, Nucl. Phys. B 175, 27 (1980).
The Gluon Density of the Proton at Low - From Qcd Analysis (Correct)
....in the next to leading log(Q 2 ) and leading log(Q 2 ) approximation. Two independent programs based on the methods of [13] and 5 [14] were used and were checked to give the same results at the percent level. For the next toleading log(Q 2 ) approximation the splitting functions [11] and the strong coupling constant ff s (Q 2 ) are defined in the MS factorization and renormalization schemes [12] Starting from Q 2 0 = 4 GeV 2 , the gluon density g and the non singlet and singlet quark densities q NS and q SI are evolved to higher Q 2 values. The singlet quark ....
G. Curci, W. Furmanski and R. Petronzio, Nucl. Phys. B175 (1980) 27; W. Furmanski and R. Petronzio, Phys. Lett. B97 (1980) 437.
Behavior of Diffractive Parton Distribution Functions - Arjun Berera (Correct)
....DISTRIBUTION In this section we give an operator definition of the diffractive parton distribution. We write the ordinary distribution of a quark of type j 2 fu; u; d; d; g in a hadron of type A in terms of field operators (y ; y Gamma ; y) evaluated at y = 0, y = 0 [9,10]: f j=A ( j 1 4 1 2 X s A Z dy Gamma e Gammai P A y Gamma hP A ; s A j j (0; y Gamma ; 0)fl j (0)jP A ; s A i: 14) Similarly, the ordinary distribution of a gluon in a proton is written as f g=A ( j 1 2 P A 1 2 X s A Z dy Gamma e ....
....and G diff g=A for gluons is given in Eq. 20) IV. EVOLUTION EQUATION As mentioned in the previous section, the diffractive parton distributions are ultraviolet divergent and require renormalization. It is convenient to perform the renormalization using the MS prescription, as discussed in [9,10]. This introduces a renormalization scale into the functions. In applications, one sets to be the same order of magnitude as the hard scale of the physical process. The renormalization involves ultraviolet divergent subgraphs, such as that shown in Fig. 2(a) Subgraphs with more than two ....
G. Curci, W. Furmanski and R. Petronzio, Nucl. Phys. B175, 27 (1980).
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