Numerical solution of Q2 evolution equations in a brute-force method

Computer Physics Communications

Volumn 94, Issue 2-3, 1996, Pages 185-215

  Miyama, M ^a   Kumano, S ^a  

^a NONE

Author keywords

Numerical solution; Parton distribution; Q2 evolution; Structure function

Indexed keywords

COMPUTER SIMULATION; COMPUTER SOFTWARE; FORTRAN (PROGRAMMING LANGUAGE); INTEGRODIFFERENTIAL EQUATIONS;

BRUTE FORCE METHOD; EVOLUTION EQUATIONS; PARTON DISTRIBUTION; STRUCTURE FUNCTION;

MOLECULAR STRUCTURE;

EID: 0030129420     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/0010-4655(96)00013-6     Document Type: Article

References (45)

1. V.N. Gribov and L.N. Lipatov, Sov. J. Nucl. Phys. 15 (1972) 438 and 675. G. Altarelli and G. Parisi, Nucl. Phys. B 126 (1977) 298. Yu.L. Dokshitzer, Sov. Phys. JETP 46 (1977) 641.
2. V.N. Gribov and L.N. Lipatov, Sov. J. Nucl. Phys. 15 (1972) 438 and 675. G. Altarelli and G. Parisi, Nucl. Phys. B 126 (1977) 298. Yu.L. Dokshitzer, Sov. Phys. JETP 46 (1977) 641.
3. V.N. Gribov and L.N. Lipatov, Sov. J. Nucl. Phys. 15 (1972) 438 and 675. G. Altarelli and G. Parisi, Nucl. Phys. B 126 (1977) 298. Yu.L. Dokshitzer, Sov. Phys. JETP 46 (1977) 641.
4. A.M. Mueller and J. Qiu, Nucl. Phys. B 268 (1986) 427. J. Qiu, Nucl. Phys. B 291 (1987) 746.
5. A.M. Mueller and J. Qiu, Nucl. Phys. B 268 (1986) 427. J. Qiu, Nucl. Phys. B 291 (1987) 746.
6. K. Golec-Biernat, M.W. Krasny and S. Riess, Phys. Lett. B 337 (1994) 367.
7. S. Kumano, Phys. Rev. C 48 (1993) 2016; 50 (1994) 1247; Phys. Lett. B 298 (1993) 171; 342 (1995) 339. R. Kobayashi, S. Kumano and M. Miyama, Phys. Lett. B 354 (1995) 465.
8. S. Kumano, Phys. Rev. C 48 (1993) 2016; 50 (1994) 1247; Phys. Lett. B 298 (1993) 171; 342 (1995) 339. R. Kobayashi, S. Kumano and M. Miyama, Phys. Lett. B 354 (1995) 465.
9. S. Kumano, Phys. Rev. C 48 (1993) 2016; 50 (1994) 1247; Phys. Lett. B 298 (1993) 171; 342 (1995) 339. R. Kobayashi, S. Kumano and M. Miyama, Phys. Lett. B 354 (1995) 465.
10. S. Kumano, Phys. Rev. C 48 (1993) 2016; 50 (1994) 1247; Phys. Lett. B 298 (1993) 171; 342 (1995) 339. R. Kobayashi, S. Kumano and M. Miyama, Phys. Lett. B 354 (1995) 465.
11. W. Furmanski and R. Petronzio, Nucl. Phys. B 195 (1982) 237. G.P. Ramsey, J. Comput. Phys. 60 (1985) 97. J. Blümlein, G. Ingelman, M. Klein and R. Rückl, Z. Phys. C 45 (1990) 501. S. Kumano and J.T. Londergan, Comput. Phys. Commun. 69 (1992) 373. R. Kobayashi, M. Konuma and S. Kumano, Comput. Phys. Commun. 86 (1995) 264. R. Kobayashi, M. Konuma, S. Kumano and M. Miyama, Prog. Theo. Phys. Supplement 120 (1995), in press; the singlet part is in progress.
12. W. Furmanski and R. Petronzio, Nucl. Phys. B 195 (1982) 237. G.P. Ramsey, J. Comput. Phys. 60 (1985) 97. J. Blümlein, G. Ingelman, M. Klein and R. Rückl, Z. Phys. C 45 (1990) 501. S. Kumano and J.T. Londergan, Comput. Phys. Commun. 69 (1992) 373. R. Kobayashi, M. Konuma and S. Kumano, Comput. Phys. Commun. 86 (1995) 264. R. Kobayashi, M. Konuma, S. Kumano and M. Miyama, Prog. Theo. Phys. Supplement 120 (1995), in press; the singlet part is in progress.
13. W. Furmanski and R. Petronzio, Nucl. Phys. B 195 (1982) 237. G.P. Ramsey, J. Comput. Phys. 60 (1985) 97. J. Blümlein, G. Ingelman, M. Klein and R. Rückl, Z. Phys. C 45 (1990) 501. S. Kumano and J.T. Londergan, Comput. Phys. Commun. 69 (1992) 373. R. Kobayashi, M. Konuma and S. Kumano, Comput. Phys. Commun. 86 (1995) 264. R. Kobayashi, M. Konuma, S. Kumano and M. Miyama, Prog. Theo. Phys. Supplement 120 (1995), in press; the singlet part is in progress.
14. W. Furmanski and R. Petronzio, Nucl. Phys. B 195 (1982) 237. G.P. Ramsey, J. Comput. Phys. 60 (1985) 97. J. Blümlein, G. Ingelman, M. Klein and R. Rückl, Z. Phys. C 45 (1990) 501. S. Kumano and J.T. Londergan, Comput. Phys. Commun. 69 (1992) 373. R. Kobayashi, M. Konuma and S. Kumano, Comput. Phys. Commun. 86 (1995) 264. R. Kobayashi, M. Konuma, S. Kumano and M. Miyama, Prog. Theo. Phys. Supplement 120 (1995), in press; the singlet part is in progress.
15. W. Furmanski and R. Petronzio, Nucl. Phys. B 195 (1982) 237. G.P. Ramsey, J. Comput. Phys. 60 (1985) 97. J. Blümlein, G. Ingelman, M. Klein and R. Rückl, Z. Phys. C 45 (1990) 501. S. Kumano and J.T. Londergan, Comput. Phys. Commun. 69 (1992) 373. R. Kobayashi, M. Konuma and S. Kumano, Comput. Phys. Commun. 86 (1995) 264. R. Kobayashi, M. Konuma, S. Kumano and M. Miyama, Prog. Theo. Phys. Supplement 120 (1995), in press; the singlet part is in progress.
16. W. Furmanski and R. Petronzio, Nucl. Phys. B 195 (1982) 237. G.P. Ramsey, J. Comput. Phys. 60 (1985) 97. J. Blümlein, G. Ingelman, M. Klein and R. Rückl, Z. Phys. C 45 (1990) 501. S. Kumano and J.T. Londergan, Comput. Phys. Commun. 69 (1992) 373. R. Kobayashi, M. Konuma and S. Kumano, Comput. Phys. Commun. 86 (1995) 264. R. Kobayashi, M. Konuma, S. Kumano and M. Miyama, Prog. Theo. Phys. Supplement 120 (1995), in press; the singlet part is in progress.
17. N. Cabibbo and R. Petronzio, Nucl. Phys. B 137 (1978) 395. G.P. Ramsey, Ph. D. thesis, Illinois Institute of Technology (1982). W.-K. Tung, private communication (1991).
18. N. Cabibbo and R. Petronzio, Nucl. Phys. B 137 (1978) 395. G.P. Ramsey, Ph. D. thesis, Illinois Institute of Technology (1982). W.-K. Tung, private communication (1991).
19. N. Cabibbo and R. Petronzio, Nucl. Phys. B 137 (1978) 395. G.P. Ramsey, Ph. D. thesis, Illinois Institute of Technology (1982). W.-K. Tung, private communication (1991).
20. R.T. Herrod and S. Wada, Phys. Lett. B 96 (1980) 195. R.T. Herrod, S. Wada, B.R. Webber, Z. Phys. C 9 (1981) 351.
21. R.T. Herrod and S. Wada, Phys. Lett. B 96 (1980) 195. R.T. Herrod, S. Wada, B.R. Webber, Z. Phys. C 9 (1981) 351.
22. There are other publications on the NLO Altarelli-Parisi equations, G. Curci, W. Furmanski and R. Petronzio, Nucl. Phys. B 175 (1980) 27. E.G. Floratos, R. Lacaze and C. Kounnas, Phys. Lett. B 98 (1981) 89; 285; Nucl. Phys. B 192 (1981) 417.
23. There are other publications on the NLO Altarelli-Parisi equations, G. Curci, W. Furmanski and R. Petronzio, Nucl. Phys. B 175 (1980) 27. E.G. Floratos, R. Lacaze and C. Kounnas, Phys. Lett. B 98 (1981) 89; 285; Nucl. Phys. B 192 (1981) 417.
24. There are other publications on the NLO Altarelli-Parisi equations, G. Curci, W. Furmanski and R. Petronzio, Nucl. Phys. B 175 (1980) 27. E.G. Floratos, R. Lacaze and C. Kounnas, Phys. Lett. B 98 (1981) 89; 285; Nucl. Phys. B 192 (1981) 417.
25. A.D. Martin, W.J. Stirling and R.G. Roberts, Phys. Lett. B 354 (1995) 155.
26. G.E. Forsythe, M.A. Malcolm and C.B. Moler, Computer Methods for Mathematical Computations (Prentice-Hall, Englewood Cliffs, NJ, 1977).
27. E.G. Floratos, D.A. Ross and C.T. Sachrajda, Nucl. Phys. B 129 (1977) 66; 152 (1979) 493.
28. E.G. Floratos, D.A. Ross and C.T. Sachrajda, Nucl. Phys. B 129 (1977) 66; 152 (1979) 493.
29. W.A. Bardeen, A.J. Buras, D.W. Duke and T. Muta, Phys. Rev. D 18 (1978) 3998.
30. P.N. Harriman, A.D. Martin, W.J. Stirling and R.G. Roberts, Phys. Rev. D 42 (1990) 798; we use the HMRS program supplied by W.J. Stirling for testing the BFI program.
31. H.L. Lai et al., CTEQ collaboration, Phys. Rev. D 51 (1995) 4763.
32. P. Berge et al., CDHSW collaboration, Z. Phys. C 49, (1991) 187. see also W.C. Leung et al., CCFR collaboration, Phys. Lett. B 317 (1993) 655. A.L. Kataev and A.V. Sidorov, Phys. Lett. B 331 (1994) 179.
33. P. Berge et al., CDHSW collaboration, Z. Phys. C 49, (1991) 187. see also W.C. Leung et al., CCFR collaboration, Phys. Lett. B 317 (1993) 655. A.L. Kataev and A.V. Sidorov, Phys. Lett. B 331 (1994) 179.
34. P. Berge et al., CDHSW collaboration, Z. Phys. C 49, (1991) 187. see also W.C. Leung et al., CCFR collaboration, Phys. Lett. B 317 (1993) 655. A.L. Kataev and A.V. Sidorov, Phys. Lett. B 331 (1994) 179.
35. R.G. Roberts and M.R. Whalley, J. Phys. G 17 (1991) D1.
36. A.C. Benvenuti et al., BCDMS collaboration, Phys. Lett. B 223 (1989) 485.
37. J.J. Aubert et al., EMC collaboration, Nucl. Phys. B 259 (1985) 189.
38. P. Bjorkholm, NMC collaboration, Ph.D. thesis, Acta Universitatis Upsaliensis, Uppsala (1995).
39. A.V. Kotwal, Fermilab-E665 collaboration, report FERMILAB-CONF-95-046-E.
40. M. Derrick et al., ZEUS collaboration, Z. Phys. C 65 (1995) 379.
41. T. Ahmed et al., H1 collaboration, Nucl. Phys. B 439 (1995) 471.
42. P. Amaudruz et al., NMC collaboration, Nucl. Phys. B 441 (1995) 3.
43. W. Melnitchouk, T. Weigl and W. Weise, research in progress.
44. R.G. Roberts, The Structure of the Proton (Cambridge University Press, Cambridge, 1990).
45. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions (Dover Publications, New York, 1972).