Амплитуды КХД с кварковым обменом при высокой энергии
Диссертация
Частица Р массы три спина Jp реджезуется, если асимптотика s —" оо амплитуды, включающей обмен в t-канале квантовыми числами этой частицы, дается фактором Редже В этом случае говорят об обмене реджезованиой частицей или реджеоном. Функция jp (t) называется траекторией Редже этой частицы и обладает свойством jp (m2p) = Jp. Она описывает движение полюса в плоскости комплексного углового момента j… Читать ещё >
Содержание
- От мягких к полужестким процессам
- Реджезация элементарных частиц
- БФКЛ померон
- Реджеонные обмены
- Глава 1. Доказательство мультиреджевской формы амплитуды
- 1. 1. Мультиреджевская форма амплитуды
- 1. 2. Квази-мультиреджевская форма амплитуды
- 1. 3. Соотношения бутстрапа
- 1. 4. Вычисления скачков
- 1. 5. Условия бутстрапа на реджеонные вершины
- Глава 2. Упругая амплитуда в СГЛП
- 2. 1. Структура амплитуды кварк-глюонного рассеяния
- 2. 2. Гипотеза о реджевской форме амплитуды
- 2. 3. Проекция на борновскую амплитуду
- 2. 4. Реджевский предел одно- и двух- петлевых вычислений
- Глава 3. Анализ СГЛП из соотношений унитарности
- 3. 1. Обозначения и метод вычислений
- 3. 2. Двухчастичный вклад в скачок
- 3. 3. Трехчастичный вклад в скачок
- Фрагментация на два глюона
- Фрагментация в кварк-глюон
- Фрагментации в кварк-антикварк
- 3. 4. Двухпетлевая поправка к траектории кварка
- Глава 4. Вычисление вершины реджезованный кварк — реджезованный кварк — глюон
- 4. 1. Неупругая амплитуда в СГЛП
- 4. 2. t-канальный скачок
- 4. 3. Поправка к вершине ЧЧР
- 4. 4. Радиационные поправки к вершине РРЧ
Список литературы
- J.C.Collins, D.E.Soper, G. Sterman, in Perturbative quantum chromodyna-mics, A.H.Mueller (ed.), World scientific, Singapore, 1989.
- B.H. Грибов, JI.H. Липатов, Глубоконеупроугое e p рассеяние в теории возмущений, Ядерная Физика 15 (1972) 781- Аннигиляци е+ е~ пар и глубоконеупругое е р рассеяние в теории возмущений, Ядерная Физика 15 (1972) 1218-
- G.Altarelli, G. Parisi, Asymptotic freedom in parton language, Nucl. Phys. B126 (1977) 297-
- ЮЛ. Докшицер, Вычисление структурных функций для глубоко неупругого рассеяния и е+ е- аннигиляция в теории возмущений квантовой хромодинамики, ЖЭТФ 73 (1977) 1216.
- Я.Я. Балицкий, Л. Н. Липатов, О померанчуковской осбенности в квантовой хромодинамике, Ядерная физика 28 (1978) 1597.
- М. Gell-Mann, M.L.Goldberger, Elementary particles of conventional field theory as Regge poles I, Phys. Rev. Lett. 9 (1962) 275-
- M. Gell-Mann, M.L.Goldberger, F.E. Low, E. Marx and F. Zachariasen, Elementary particles of conventional field theory as Regge poles. II, III, Phys. Rev. 133 (1964) B145, B161.
- J. C. Polkinghorne, Asymptotic behavior of feynman integrals with spin, J. Math. Phys. 5 (1964) 1491.
- S. Mandelstam, Non-Regge terms in the vector-spinor theory, Phys. Rev. 137 (1965) B949.
- E. Abers and V.L. Teplitz, Kinematic constraints, crossing, and the Reggeization of scattering amplitudes, Phys. Rev. 158 (1967) 1365-
- E. Abers, A.R. Keller and V.L. Teplitz, reggeization of the spinor in Yang-Mills theory, Phys. Rev. D2 (1970) 1757-
- D.A. Dicus and V.L. Teplitz, Conserved currents, reggeization, and Mandelstam counting in second-order perturbation theory, Phys. Rev. D3 (1971) 1910-
- M.T. Grisaru, H.J. Schnitzer, and H.-S. Tsao, reggeization of elementary particles in renormalizable gauge theories: vectors and spinors, Phys. Rev. D8 (1973) 4498.
- B.M. McCoy and T.T. Wu, Theory of electron exchange in massive quantum electrodynamics at high energy. I—VI, Phys. Rev. D13 (1976) 369, 379, 395, 424, 484, 508.
- A.L. Mason, Factorization and hence reggeization in massive QED, Nucl. Phys. B104 (1976) 141- Factorization and hence reggeization In Yang-Mills theories, Nucl. Phys. B117 (1976) 493-
- A. Sen, Asymptotic behavior of the fermion and gluon exchange amplitudes in massive quantum electrodynamics in the Regge limit, Phys. Rev. D27 (1983) 2997-
- M.T. Grisaru, H.J. Schnitzer, H.-S. Tsao, Reggeization of Elementary Particles in Renormalizable Gauge Theories: Vectors and Spinor, Phys. Rev. Lett. 30 (1973) 811- Phys. Rev. D8 (1973) 4498.
- Л.Н. Липатов, Реджезация векторного мезона и вакуумная особенность в неабелевых калибровочных теориях, Яд. Физ. 23 (1976) 642.
- L.L Frankfurt and V.E. Sherman, Reggeization of vector meson and vacuum singularity in renormalizable Yang-Mills models, Sov. J. Nucl. Phys. 23 (1976) 581.
- B.M. McCoy, T.T. Wu, Boson-fermion and boson-boson scattering in a Yang-Mills theory at high energy: Sixth-order perturbation theory, Phys. Rev. D13 (1976) 1076-
- Tyburski, Reggeization of the fermion-fermion scattering amplitude in non-Abelian gauge theories, Phys. Rev. D13 (1976) 1107- H. Cheng and C. Y. Lo, High-energy amplitudes of Yang-Mills theory in the eighth order, Phys. Rev. D13 (1976) 1131-
- P. S. Yeung, High-energy scattering in general non-Abelian gauge theories, Phys. Rev. D13 (1976) 2306.
- Я.Я. Балицкий, Л. Н. Липатов, B.C. Фадин, Реджевские процессы в неабелевых калибровочных теориях, Материалы XIV зимней школы ЛИЯФ, Ленинград (1979) 109.
- V.S. Fadin, R. Fiore, M.G. Kozlov, A.V. Reznichenko, Proof of the multi-Regge form of QCD amplitudes with gluon exchanges in the NLA, Phys.Lett. B639 (2006) 74.
- A.L. Mason, Radiation gauge calculation of high-energy scattering amplitudes, Nucl.Phys. B120 (1977) 275.
- H. Cheng and C. Y. Lo, High-energy amplitudes of Yang-Mills theory in arbitrary perturbative orders, Phys. Rev. D15 (1977) 2959.
- J. Bartels, High-energy behavior in a nonabelian gauge field theory, Phys. Lett. B68 (1977) 258-
- J. Bartels, J.J. Scanio, An Su (2) symmetric Reggeon field theory with a negative mass, Nucl. Phys. B139 (1978) 221-
- J. Bartels, High-energy behavior of nonabelian gauge theories, Acta Phys. Polon. Bll (1980) 281.
- J. B. Bronzan and R. L. Sugar, Regge behavior of spontaneously broken non-Abelian gauge theory, Phys. Rev. D17 (1978) 585.
- B.H. Грибов, Техника реджеонных диаграмм, ЖЭТФ 53 (1967) 654- H.D.I. Abarbanel, J.B. Bronzan, R.L. Sugar and A.R. White, Reggeon field theory: formulation and use, Phys. Rept. 21 (1975) 119-
- M. Baker and K.A. Ter-Martirosian, Gribov’s Reggeon calculus: its physical basis and implications, Phys. Rept. 28 (1976) 1-
- M. Moshe, Recent developments in reggeon field theory, Phys. Rept. 37 (1978) 255.
- B.C. Фадин, B.E. Шерман, Процессы с фермионным обменом в неабе-левых калибровочных теориях, ЖЭТФ 72 (1977) 1640.
- Т. Regge, Bound states, shadow states and Mandelstam representation, Nuovo Cim. 18 (1960) 947.
- M. Froissart, Asymptotic behavior and subtractions in the Mandelstam representation, Phys. Rev. 123 (1961) 1053.
- JI.H. Липатов, B.C. Фадин, Высокоэнергитическое рождение глюонов в квази-мульти-реджевской кинематике, Письма в ЖЭТФ, 49 (1989) 311-, Ядерная Физ. 50 (1989) 1141.
- V.S. Fadin, L.N. Lipatov, BFKL pomeron in the next-to-leading approximation, Phys. Lett. B429 (1998) 127-
- M. Ciafaloni and G. Camici, Energy scale (s) and next-to-leading BFKL equation, Phys. Lett. B430 (1998) 349.
- V.S. Fadin, R. Fiore, Non-forward NLO BFKL kernel, Phys. Rev. D72 (2005) 14 018.
- V.S. Fadin, R. Fiore, M.I. Kotsky and A. Papa, The Gluon impact factors, Phys. Rev. D61 (2000) 94 005- The Quark impact factors, Phys. Rev. D61 (2000) 94 006-
- M. Ciafaloni and G. Rodrigo, Heavy quark impact factor at next-to-leading level, JHEP 5 (2000) 042
- D.Y. Ivanov, M.I. Kotsky and A. Papa, The Impact factor for the virtual photon to light vector meson transition, Eur. Phys. J. C38 (2004) 195.
- G.P. Salam, A Resummation of large subleading corrections at small x, JHEP 9807 (1998) 19-
- M. Ciafaloni, D. Colferai, The BFKL equation at next-to-leading level and beyond6 Phys. Lett. B452 (1999) 372-
- M. Ciafaloni, D. Colferai, G.P. Salam and A.M. Stasto, Renormalization group improved small x Green’s function, Phys. Rev. D68 (2003) 114 003
- S. J. Brodsky, F. Hautmann and D. E. Soper, Virtual photon scattering at high-energies as a probe of the short distance pomeron, Phys. Rev. D56 (1997) 6957-
- J. Bartels, A. De Roeck and H. Lotter, The 7*7* total cross-section and the BFKL pomeron at e+ e- colliders, Phys. Lett. B389 (1996) 742- S.J. Brodsky, V.S. Fadin, V.T. Kim, L.N. Lipatov and G.B. Pivovarov,
- M. Ciafaloni, D. Colferai, G.P. Salam, A.M. Stasto, The Gluon splitting function at moderately small x, Phys.Lett. B587 (2004) 87.
- L.V.Gribov, E.M.Levin, M.G.Ryskin, Semihard processes in QCD., Phys. Rep. 100 (1983) 1.
- J. Bartels, High-energy behavior in a nonabelian gauge theory. 2. First corrections to t (N M) beyond the leading LNS approximation, Nucl. Phys. B175 (1980) 365-
- J. Kwiecinski, M. Praszalowicz, Three gluon integral equation and odd С singlet regge singularities in QCD, Phys. Lett. B94 (1980) 413.
- L.N. Lipatov, High energy asymptotics of multi-colour QCD and exactly solvable lattice models, hep-th/9 311 037, Padova preprint DFPD/93/TH, unpublished.
- J.Bartels, M. Wiisthoff, The Triple Regge limit of diffractive dissociation in deep inelastic scattering, Z.Phys. C66 (1995) 157.
- Bartels, L.N.Lipatov, M. Wusthoff, Conformal invariance of the transition vertex 2 → 4 gluons, Nucl.Phys. B464 (1996) 298-
- M.Braun, G.P.Vacca, Triple pomeron vertex in the limit N© —> infinity, Eur. Phys. J. C6 (1999) 147.
- L.N. Lipatov, High-energy scattering in QCD and in quantum gravity and two-dimensional field theories, Nucl. Phys. B365 (1991) 614-
- R. Kirschner, L.N. Lipatov, L. Szymanowski, Effective action for multi -Regge processes in QCD, Nucl. Phys. B425 (1994) 579.
- L.N. Lipatov, Gauge invariant effective action for high-energy processes in QCD, Nucl.Phys. B452 (1995) 369- Small x physics in perturbative QCD, Phys. Rept. 286 (1997) 131-
- E.N. Antonov, L.N. Lipatov, E.A. Kuraev and I.O. Cherednikov, Feynman rules for effective Regge action, Nucl.Phys. B721 (2005) 111.
- A. H. Mueller, Soft gluons in the infinite momentum wave function and the BFKL pomeron, Nucl. Phys. B415 (1994) 373- Unitarity and the BFKL pomeron, Nucl. Phys. B437 (1995) 107-
- A. H. Mueller and B. Patel, Single and double BFKL pomeron exchange and a dipole picture of high-energy hard processes, Nucl. Phys. B425 (1994) 471.42. la. Balitsky, Operator expansion for high-energy scattering, Nucl. Phys. B463 (1996) 99-
- Yu. Kovchegov, Small x F (2) structure function of a nucleus including multiple pomeron exchanges, Phys. Rev. D60 (1999) 34 008- Unitarization of the BFKL pomeron on a nucleus, Phys. Rev. D61 (2000) 74 018.
- J. Bartels, L. N. Lipatov and G. P. Vacca, Interactions of reggeized gluons in the Mobius representation, Nucl.Phys. B706 (2005) 391-
- Balitsky, Quark contribution to the small-x evolution of color dipole, Phys. Rev. D75 (2007) 14 001-
- V. S. Fadin, R. Fiore and A. Papa, On the coordinate representation of
- NLO BFKL, arXiv: hep-ph/612 284- The dipole form of the quark part of the BFKL kernel, arXiv: hep-ph/070'l075.
- E. Iancu, A. Leonidov and L. McLerran, The Renormalization group equation for the color glass condensate, Phys. Lett. B510 (2001) 133- Nonlinear gluon evolution in the color glass condensate. 1, Nucl.Phys. A692 (2001) 583-
- J.P. Blaizot, E. Iancu and H. Weigert, Nonlinear gluon evolution in path integral form, Nucl. Phys. A713 (2003) 441.
- В. I. Ermolaev, S. I. Manaenkov and M. G. Ryskin, Nonsinglet structure functions at small x, Z. Phys. C69 (1996) 259-
- J. Bartels, В. I. Ermolaev and M. G. Ryskin, Flavor singlet contribution to the structure function gl at small x, Z. Phys. C72 627 (1996).
- J. Soffer and O.V. Teryaev, Neutron spin dependent structure function, Bjorken sum rule, and first evidence for singlet contribution at low x, Phys. Rev. D56 (1997) 1549-
- N.I. Kochelev, K. Lipka, W.-D. Nowak, V. Vento, A.V. Vinnikov, DIS structure functions and the double spin asymmetry in rhoO electroproduction within a Regge approach, Phys.Rev. D67 (2003) 74 014.
- A. Donnachie, H. G. Dosch and M. Rueter, Eur. Phys. J. Gamma* gamma*reactions at high-energies, C13 (2000) 141- Two photon reactions at high-energies, Phys. Rev. D59 (1999) 74 011-
- J. Kwiecinski and L. Motyka, Theoretical description of the total 7*7* cross-section and its confrontation with the LEP data on doubly tagged e+ e-events, Eur. Phys. J. C18 (2000) 343-
- N.N. Nikolaev, J. Speth and V.R. Zoller, Color dipole BFKL-Regge factorization and high-energy photon photon scattering, J. Exp. Theor. Phys. 93 (2001) 957, (ЖЭТФ 93 (2001) 1104.
- M.G. Ryskin and A.G. Shuvaev, Secondary reggeons in perturbative QCD, Eur. Phys. J. C25 (2002) 245.
- В.Г. Горшков, B.H. Грибов, JI.H. Липатов, Г. В. Фролов, Дважды логарифмические асимптотики в квантовой электродинамике, Ядерная Физика 6 (1967) 129- Электрон-позитронное рассеяние назад при высоких энергиях, Ядерная Физика 6 (1967) 361.
- R. Kirschner, Дважды логарифмическая асимптотика в квантовой хро-модинамике, Yad. Fiz. 34 (1981) 546- Soft Gluon Corrections To Hard Quark Quark Scattering Subprocesses, Phys. Lett. B98 (1981) 451.
- J. Bartels and М. Lublinsky, Quark-antiquark exchange in gamma-gamma scattering, JHEP 0309 (2003) 076.
- J.Bartels, A. DeRoeck, H. Lotter, The 7*7* total cross-section and the BFKL pomeron at e+ e- colliders, Phys. Lett. B389 (1996) 742−748.
- R. Kirschner, Regge asymptotics of scattering with flavor exchange in QCD, Z. Phys. C67 (1995) 459.
- J. Kwiecinski, Leading q anti-q regge singularities in perturbative QCD, Phys. Rev. D26 (1982) 3293-
- R. Kirschner, Regge Asymptotics Of Scattering Amplitudes In The Logarithmic Approximation Of Qcd, Z. Phys. C31 135 (1986).
- R. Kirschner, Reggeon interactions in perturbative QCD, Z. Phys. C65 (1995) 505- Symmetric reggeon interaction in perturbative QCD, Eur. Phys. J. C41 (2005) 353.
- A.V. Bogdan, V. Del Duca, Victor S. Fadin, E.W.N. Glover, The Quark Regge trajectory at two loops, JHEP 0203 (2002) 032.
- A.V. Bogdan, V.S. Fadin, Quark Regge trajectory in two loops from unitarity relations, Ядерная Физика 68 (2005) 1659.
- A.V. Bogdan, V.S. Fadin, A Proof of the reggeized form of amplitudes with quark exchanges, Nucl. Phys. B740 (2006) 36.
- A.V. Bogdan, A.V. Grabovsky, Verification of bootstrap conditions for amplitudes with quark exchanges in QMRK, Nucl. Phys. B757 (2006) 211.
- A.V. Bogdan, A.V. Grabovsky, Radiative corrections to the Reggeized quark — Reggeiazed quark — gluon effective vertex, to be published in Nucl. Phys. B, hep-ph/701 144.
- L.N. Lipatov and M.I. Vyasovsky, Quasi-multi-Regge processes with quark exchange in the i-channel, Nucl. Phys. B597 (2001) 399.
- V.S. Fadin and R. Fiore, Calculation of Reggeon vertices in QCD, Phys. Rev. D64 (2001) 114 012-
- M.I. Kotsky, L.N. Lipatov, A. Principe, and M.I. Vyazovsky, Radiative corrections to the quark gluon Reggeized quark vertex in QCD, Nucl. Phys. B648 (2003) 277.
- M. Braun and G. P. Vacca, The 2nd order corrections to the interaction of two Reggeized gluons from the bootstrap, Phys. Lett. B454 (1999) 319- The Bootstrap for impact factors and the gluon wave function, Phys. Lett. B477 (2000) 156.
- V. S. Fadin, R. Fiore, M. I. Kotsky, and A. Papa, Strong bootstrap conditions, Phys. Lett. B495 (2000) 329.
- J. Bartels, A reggeon calculus for the production amplitude. 1., Phys. Rev. Dll (1975) 2977, 2989- High-energy behavior in a nonabelian gauge theory. 2. first corrections to t (n—>m) beyond the leading Ins approximation, Nucl. Phys. B175 (1980) 365.
- V.S. Fadin, Talk given at the NATO Advanced Research Workshop «Diffraction 2002 August 31 September 6, 2002, Alushta, Crimea, Ukraine, in Di®raction 2002, Ed. by R. Fiore et al., NATO Science Series, Vol. 101, p.235.
- V.S. Fadin, Multi-Reggeon processes in QCD, Ядерная Физ. 66 (2003) 2067.
- V.S. Fadin, M.G. Kozlov, A.V. Reznichenko, Radiative corrections to QCD amplitudes in quasimulti-Regge kinematics, Ядерная Физ. 67 (2004) 377.
- R. К. Ellis and J. C. Sexton, QCD Radiative Corrections To Parton Parton Scattering, Nucl. Phys. B269 (1986) 445.
- Z. Kunszt, A. Signer and Z. Trocsanyi, One loop helicity amplitudes for all 2 —> 2 processes in QCD and N=1 supersymmetric Yang-Mills theory, Nucl. Phys. B411 (1994) 397.
- С. Anastasiou, Е. W. N. Glover, С. Oleari and M. E. Tejeda-Yeomans, Two-loop QCD corrections to massless quark gluon scattering, Nucl. Phys. B605 (2001) 486.
- S. Catani, The singular behaviour of QCD amplitudes at two-loop order, Phys. Lett. B427 (1998) 161.
- D. J. Broadhurst, J. A. Gracey and D. Kreimer, Beyond the triangle and uniqueness relations: Nonzeta counterterms at large N from positive knots, Z. Phys. С75 559 (1997).
- V. S. Fadin, R. Fiore and M. I. Kotsky, Gluon Regge trajectory in the two loop approximation, Phys. Lett. B387 593 (1996).
- V. S. Fadin and L. N. Lipatov, Radiative corrections to QCD scattering amplitudes in a multi Regge kinematics, Nucl. Phys. B406 (1993) 259.
- V. S. Fadin, R. Fiore and A. Papa, One-loop reggeon-reggeon-gluon vertexat arbitrary space-time dimension, Phys. Rev. D63 (2001) 34 001.
- V. S. Fadin and R. Fiore, Quark Contribution To The Gluon-Gluon -Reggeon Vertex In QCD, Phys. Lett. B294 (1992) 286-
- V. S. Fadin, R. Fiore and A. Quartarolo, Quark contribution to the reggeon reggeon — gluon vertex in QCD, Phys. Rev. D50 (1994) 5893.
- G.'t Hooft and M. Veltman, Regularization and renormalization of gauge fields, Nucl.Phys. B44 (1972) 189.
- G. 't Hooft and M. J. G. Veltman, Scalar One Loop Integrals, Nucl. Phys. B153 (1979) 365-
- N. I. Usyukina and A. I. Davydychev, An approach to the evaluation of three and four point ladder diagrams, Phys. Lett. B298 (1993) 363.
- Z. Bern, L. J. Dixon and D. A. Kosower, Dimensionally regulated pentagon integrals, Nucl. Phys. B412 (1994) 751.
- J. M. Campbell, E. W. N. Glover and D. J. Miller, One-loop tensor integrals in dimensional regularisation, Nucl. Phys. B498 (1997) 397.