Skip to main content

Advertisement

SpringerLink
Go to cart
  1. Home
  2. Journal of High Energy Physics
  3. Article
Hybrid kT -factorization and impact factors at NLO
Download PDF
Your article has downloaded

Similar articles being viewed by others

Slider with three articles shown per slide. Use the Previous and Next buttons to navigate the slides or the slide controller buttons at the end to navigate through each slide.

Trijets in $$k_\mathrm{T}$$kT-factorisation: matrix elements vs parton shower

07 July 2020

H. Van Haevermaet, A. Van Hameren, … P. Van Mechelen

Transverse momentum dependent PDFs at N3LO

22 September 2020

Markus A. Ebert, Bernhard Mistlberger & Gherardo Vita

Next-to-leading power endpoint factorization and resummation for off-diagonal “gluon” thrust

26 July 2022

M. Beneke, M. Garny, … J. Wang

Parton branching at amplitude level

26 August 2019

Jeffrey R. Forshaw, Jack Holguin & Simon Plätzer

Factorization and transverse phase-space parton distributions

01 July 2021

Bin Wu

N-jettiness beam functions at N3LO

22 September 2020

Markus A. Ebert, Bernhard Mistlberger & Gherardo Vita

Next-to-leading power threshold effects for inclusive and exclusive processes with final state jets

18 March 2020

Melissa van Beekveld, Wim Beenakker, … Chris D. White

Towards stability of NLO corrections in high-energy factorization via modified multi-Regge kinematics approximation

12 August 2020

Maxim Nefedov

Rapidity-only TMD factorization at one loop

06 March 2023

Ian Balitsky

Download PDF
  • Regular Article - Theoretical Physics
  • Open Access
  • Published: 17 November 2022

Hybrid kT -factorization and impact factors at NLO

  • Andreas van Hameren1,
  • Leszek Motyka2 &
  • Grzegorz Ziarko1 

Journal of High Energy Physics volume 2022, Article number: 103 (2022) Cite this article

  • 74 Accesses

  • 6 Citations

  • 1 Altmetric

  • Metrics details

A preprint version of the article is available at arXiv.

Abstract

In the hybrid kT -factorization formula, one initial-state parton momentum is space-like and carries non-vanishing transverse components, while the other is on-shell. We promote this factorization formula to next-to-leading order. Studying the partonic cross section, we identify all soft and collinear divergencies in the real and virtual contribution, and recognize that all non-cancelling ones can be attributed to PDF evolution, evolution kernel, and target impact factors. In result, we construct a framework that may be used to compute NLO impact factors in general. In particular, we recover known expressions for inclusive NLO quark-and gluon impact factor corrections.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

References

  1. L.N. Lipatov, Reggeization of the Vector Meson and the Vacuum Singularity in Nonabelian Gauge Theories, Sov. J. Nucl. Phys. 23 (1976) 338 [INSPIRE].

    Google Scholar 

  2. E.A. Kuraev, L.N. Lipatov and V.S. Fadin, Multi-Reggeon Processes in the Yang-Mills Theory, Sov. Phys. JETP 44 (1976) 443 [INSPIRE].

    ADS  Google Scholar 

  3. E.A. Kuraev, L.N. Lipatov and V.S. Fadin, The Pomeranchuk Singularity in Nonabelian Gauge Theories, Sov. Phys. JETP 45 (1977) 199 [INSPIRE].

    ADS  MathSciNet  Google Scholar 

  4. I.I. Balitsky and L.N. Lipatov, The Pomeranchuk Singularity in Quantum Chromodynamics, Sov. J. Nucl. Phys. 28 (1978) 822 [INSPIRE].

    Google Scholar 

  5. V.S. Fadin and L.N. Lipatov, High-Energy Production of Gluons in a QuasimultiRegge Kinematics, JETP Lett. 49 (1989) 352 [INSPIRE].

    ADS  Google Scholar 

  6. L.N. Lipatov, Small x physics in perturbative QCD, Phys. Rept. 286 (1997) 131 [hep-ph/9610276] [INSPIRE].

  7. S. Catani, M. Ciafaloni and F. Hautmann, Gluon contributions to small x heavy flavor production, Phys. Lett. B 242 (1990) 97 [INSPIRE].

  8. S. Catani, M. Ciafaloni and F. Hautmann, High-energy factorization and small x heavy flavor production, Nucl. Phys. B 366 (1991) 135 [INSPIRE].

    Article  ADS  Google Scholar 

  9. S. Catani and F. Hautmann, High-energy factorization and small x deep inelastic scattering beyond leading order, Nucl. Phys. B 427 (1994) 475 [hep-ph/9405388] [INSPIRE].

  10. V.S. Fadin, M.I. Kotsky and R. Fiore, Gluon Reggeization in QCD in the next-to-leading order, Phys. Lett. B 359 (1995) 181 [INSPIRE].

    Article  ADS  Google Scholar 

  11. V.S. Fadin, R. Fiore and M.I. Kotsky, Gluon Regge trajectory in the two loop approximation, Phys. Lett. B 387 (1996) 593 [hep-ph/9605357] [INSPIRE].

  12. V.S. Fadin and L.N. Lipatov, Radiative corrections to QCD scattering amplitudes in a multi-Regge kinematics, Nucl. Phys. B 406 (1993) 259 [INSPIRE].

    Article  ADS  Google Scholar 

  13. V.S. Fadin, R. Fiore and A. Quartarolo, Quark contribution to the reggeon-reggeon-gluon vertex in QCD, Phys. Rev. D 50 (1994) 5893 [hep-th/9405127] [INSPIRE].

    Article  ADS  Google Scholar 

  14. V.S. Fadin and R. Fiore, Non-forward NLO BFKL kernel, Phys. Rev. D 72 (2005) 014018 [hep-ph/0502045] [INSPIRE].

  15. V.S. Fadin, R. Fiore and M.I. Kotsky, Gribov’s theorem on soft emission and the reggeon-reggeon-gluon vertex at small transverse momentum, Phys. Lett. B 389 (1996) 737 [hep-ph/9608229] [INSPIRE].

  16. V.S. Fadin, R. Fiore, A. Flachi and M.I. Kotsky, Quark-antiquark contribution to the BFKL kernel, Phys. Lett. B 422 (1998) 287 [hep-ph/9711427] [INSPIRE].

  17. V. Del Duca, Real next-to-leading corrections to the multi-gluon amplitudes in the helicity formalism, Phys. Rev. D 54 (1996) 989 [hep-ph/9601211] [INSPIRE].

  18. V. Del Duca and C.R. Schmidt, Virtual next-to-leading corrections to the impact factors in the high-energy limit, Phys. Rev. D 57 (1998) 4069 [hep-ph/9711309] [INSPIRE].

  19. V. Del Duca and C.R. Schmidt, Virtual next-to-leading corrections to the Lipatov vertex, Phys. Rev. D 59 (1999) 074004 [hep-ph/9810215] [INSPIRE].

  20. V.S. Fadin and L.N. Lipatov, BFKL Pomeron in the next-to-leading approximation, Phys. Lett. B 429 (1998) 127 [hep-ph/9802290] [INSPIRE].

  21. G. Camici and M. Ciafaloni, Irreducible part of the next-to-leading BFKL kernel, Phys. Lett. B 412 (1997) 396 [Erratum ibid. 417 (1998) 390] [hep-ph/9707390] [INSPIRE].

  22. M. Ciafaloni and G. Camici, Energy scale(s) and next-to-leading BFKL equation, Phys. Lett. B 430 (1998) 349 [hep-ph/9803389] [INSPIRE].

  23. M. Ciafaloni and D. Colferai, The BFKL equation at next-to-leading level and beyond, Phys. Lett. B 452 (1999) 372 [hep-ph/9812366] [INSPIRE].

  24. I. Balitsky and G.A. Chirilli, Next-to-leading order evolution of color dipoles, Phys. Rev. D 77 (2008) 014019 [arXiv:0710.4330] [INSPIRE].

  25. G.P. Salam, An Introduction to leading and next-to-leading BFKL, Acta Phys. Polon. B 30 (1999) 3679 [hep-ph/9910492] [INSPIRE].

  26. A.V. Kotikov and L.N. Lipatov, NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories, Nucl. Phys. B 582 (2000) 19 [hep-ph/0004008] [INSPIRE].

  27. N. Gromov, F. Levkovich-Maslyuk and G. Sizov, Pomeron Eigenvalue at Three Loops in \( \mathcal{N} \) = 4 Supersymmetric Yang-Mills Theory, Phys. Rev. Lett. 115 (2015) 251601 [arXiv:1507.04010] [INSPIRE].

  28. S. Caron-Huot and M. Herranen, High-energy evolution to three loops, JHEP 02 (2018) 058 [arXiv:1604.07417] [INSPIRE].

  29. M. Ciafaloni and D. Colferai, K factorization and impact factors at next-to-leading level, Nucl. Phys. B 538 (1999) 187 [hep-ph/9806350] [INSPIRE].

  30. V.S. Fadin, R. Fiore, M.I. Kotsky and A. Papa, The Gluon impact factors, Phys. Rev. D 61 (2000) 094005 [hep-ph/9908264] [INSPIRE].

  31. V.S. Fadin, R. Fiore, M.I. Kotsky and A. Papa, The Quark impact factors, Phys. Rev. D 61 (2000) 094006 [hep-ph/9908265] [INSPIRE].

  32. J. Bartels, D. Colferai and G.P. Vacca, The NLO jet vertex for Mueller-Navelet and forward jets: The Quark part, Eur. Phys. J. C 24 (2002) 83 [hep-ph/0112283] [INSPIRE].

  33. J. Bartels, D. Colferai and G.P. Vacca, The NLO jet vertex for Mueller-Navelet and forward jets: The Gluon part, Eur. Phys. J. C 29 (2003) 235 [hep-ph/0206290] [INSPIRE].

  34. M. Hentschinski and A. Sabio Vera, NLO jet vertex from Lipatov’s QCD effective action, Phys. Rev. D 85 (2012) 056006 [arXiv:1110.6741] [INSPIRE].

  35. F. Caporale, D.Y. Ivanov, B. Murdaca and A. Papa, Mueller-Navelet small-cone jets at LHC in next-to-leading BFKL, Nucl. Phys. B 877 (2013) 73 [arXiv:1211.7225] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  36. G. Chachamis, M. Hentschinski, J.D. Madrigal Martínez and A. Sabio Vera, Next-to-leading order corrections to the gluon-induced forward jet vertex from the high energy effective action, Phys. Rev. D 87 (2013) 076009 [arXiv:1212.4992] [INSPIRE].

  37. M. Hentschinski, J.D.M. Martínez, B. Murdaca and A. Sabio Vera, The gluon-induced Mueller-Tang jet impact factor at next-to-leading order, Nucl. Phys. B 889 (2014) 549 [arXiv:1409.6704] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  38. A. Sabio Vera, The Effect of NLO conformal spins in azimuthal angle decorrelation of jet pairs, Nucl. Phys. B 746 (2006) 1 [hep-ph/0602250] [INSPIRE].

  39. D. Colferai, F. Schwennsen, L. Szymanowski and S. Wallon, Mueller Navelet jets at LHC — complete NLL BFKL calculation, JHEP 12 (2010) 026 [arXiv:1002.1365] [INSPIRE].

    Article  ADS  Google Scholar 

  40. F. Caporale, D.Y. Ivanov, B. Murdaca, A. Papa and A. Perri, The next-to-leading order jet vertex for Mueller-Navelet and forward jets revisited, JHEP 02 (2012) 101 [arXiv:1112.3752] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  41. D.Y. Ivanov and A. Papa, The next-to-leading order forward jet vertex in the small-cone approximation, JHEP 05 (2012) 086 [arXiv:1202.1082] [INSPIRE].

    Article  ADS  Google Scholar 

  42. B. Ducloue, L. Szymanowski and S. Wallon, Confronting Mueller-Navelet jets in NLL BFKL with LHC experiments at 7 TeV, JHEP 05 (2013) 096 [arXiv:1302.7012] [INSPIRE].

    Article  ADS  Google Scholar 

  43. B. Ducloué, L. Szymanowski and S. Wallon, Evidence for high-energy resummation effects in Mueller-Navelet jets at the LHC, Phys. Rev. Lett. 112 (2014) 082003 [arXiv:1309.3229] [INSPIRE].

  44. F. Caporale, D.Y. Ivanov, B. Murdaca and A. Papa, Mueller-Navelet jets in next-to-leading order BFKL: theory versus experiment, Eur. Phys. J. C 74 (2014) 3084 [Erratum ibid. 75 (2015) 535] [arXiv:1407.8431] [INSPIRE].

  45. D.Y. Ivanov, M.I. Kotsky and A. Papa, The Impact factor for the virtual photon to light vector meson transition, Eur. Phys. J. C 38 (2004) 195 [hep-ph/0405297] [INSPIRE].

  46. D.Y. Ivanov and A. Papa, Electroproduction of two light vector mesons in the next-to-leading approximation, Nucl. Phys. B 732 (2006) 183 [hep-ph/0508162] [INSPIRE].

  47. D.Y. Ivanov and A. Papa, Electroproduction of two light vector mesons in next-to-leading BFKL: Study of systematic effects, Eur. Phys. J. C 49 (2007) 947 [hep-ph/0610042] [INSPIRE].

  48. R. Boussarie, A.V. Grabovsky, D.Y. Ivanov, L. Szymanowski and S. Wallon, Next-to-Leading Order Computation of Exclusive Diffractive Light Vector Meson Production in a Saturation Framework, Phys. Rev. Lett. 119 (2017) 072002 [arXiv:1612.08026] [INSPIRE].

  49. P. Taels, T. Altinoluk, G. Beuf and C. Marquet, Dijet photoproduction at low x at next-to-leading order and its back-to-back limit, JHEP 10 (2022) 184 [arXiv:2204.11650] [INSPIRE].

    Article  ADS  Google Scholar 

  50. P. Caucal, F. Salazar and R. Venugopalan, Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate, JHEP 11 (2021) 222 [arXiv:2108.06347] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  51. R. Boussarie, A.V. Grabovsky, L. Szymanowski and S. Wallon, Towards a complete next-to-logarithmic description of forward exclusive diffractive dijet electroproduction at HERA: real corrections, Phys. Rev. D 100 (2019) 074020 [arXiv:1905.07371] [INSPIRE].

  52. R. Boussarie, A.V. Grabovsky, L. Szymanowski and S. Wallon, On the one loop γ(∗)q\( \overline{q} \) impact factor and the exclusive diffractive cross sections for the production of two or three jets, JHEP 11 (2016) 149 [arXiv:1606.00419] [INSPIRE].

    Article  ADS  Google Scholar 

  53. K. Roy and R. Venugopalan, NLO impact factor for inclusive photon+dijet production in e + A DIS at small x, Phys. Rev. D 101 (2020) 034028 [arXiv:1911.04530] [INSPIRE].

  54. J. Bartels, D. Colferai, S. Gieseke and A. Kyrieleis, NLO corrections to the photon impact factor: Combining real and virtual corrections, Phys. Rev. D 66 (2002) 094017 [hep-ph/0208130] [INSPIRE].

  55. V.S. Fadin, D.Y. Ivanov and M.I. Kotsky, On the calculation of the NLO virtual photon impact factor, Nucl. Phys. B 658 (2003) 156 [hep-ph/0210406] [INSPIRE].

  56. I. Balitsky and G.A. Chirilli, Photon impact factor in the next-to-leading order, Phys. Rev. D 83 (2011) 031502 [arXiv:1009.4729] [INSPIRE].

  57. I. Balitsky and G.A. Chirilli, Photon impact factor and kT -factorization for DIS in the next-to-leading order, Phys. Rev. D 87 (2013) 014013 [arXiv:1207.3844] [INSPIRE].

  58. G. Beuf, Dipole factorization for DIS at NLO: Combining the q\( \overline{q} \) and q\( \overline{q} \)g contributions, Phys. Rev. D 96 (2017) 074033 [arXiv:1708.06557] [INSPIRE].

  59. H. Hänninen, T. Lappi and R. Paatelainen, One-loop corrections to light cone wave functions: the dipole picture DIS cross section, Annals Phys. 393 (2018) 358 [arXiv:1711.08207] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  60. D.Y. Ivanov, B. Murdaca and A. Papa, The γ∗γ∗ total cross section in next-to-leading order BFKL and LEP2 data, JHEP 10 (2014) 058 [arXiv:1407.8447] [INSPIRE].

    Article  ADS  Google Scholar 

  61. M. Ciafaloni and G. Rodrigo, Heavy quark impact factor at next-to-leading level, JHEP 05 (2000) 042 [hep-ph/0004033] [INSPIRE].

  62. F.G. Celiberto, D.Y. Ivanov, B. Murdaca and A. Papa, High-energy resummation in heavy-quark pair photoproduction, Phys. Lett. B 777 (2018) 141 [arXiv:1709.10032] [INSPIRE].

    Article  ADS  Google Scholar 

  63. A.D. Bolognino, F.G. Celiberto, M. Fucilla, D.Y. Ivanov and A. Papa, High-energy resummation in heavy-quark pair hadroproduction, Eur. Phys. J. C 79 (2019) 939 [arXiv:1909.03068] [INSPIRE].

    Article  ADS  Google Scholar 

  64. F.G. Celiberto, D.Y. Ivanov, B. Murdaca and A. Papa, High energy resummation in dihadron production at the LHC, Phys. Rev. D 94 (2016) 034013 [arXiv:1604.08013] [INSPIRE].

  65. F.G. Celiberto, D.Y. Ivanov, B. Murdaca and A. Papa, Dihadron production at the LHC: full next-to-leading BFKL calculation, Eur. Phys. J. C 77 (2017) 382 [arXiv:1701.05077] [INSPIRE].

    Article  ADS  Google Scholar 

  66. F.G. Celiberto, D.Y. Ivanov, M.M.A. Mohammed and A. Papa, High-energy resummed distributions for the inclusive Higgs-plus-jet production at the LHC, Eur. Phys. J. C 81 (2021) 293 [arXiv:2008.00501] [INSPIRE].

    Article  ADS  Google Scholar 

  67. M. Hentschinski, K. Kutak and A. van Hameren, Forward Higgs production within high energy factorization in the heavy quark limit at next-to-leading order accuracy, Eur. Phys. J. C 81 (2021) 112 [Erratum ibid. 81 (2021) 262] [arXiv:2011.03193] [INSPIRE].

  68. F.G. Celiberto, M. Fucilla, D.Y. Ivanov, M.M.A. Mohammed and A. Papa, The next-to-leading order Higgs impact factor in the infinite top-mass limit, JHEP 08 (2022) 092 [arXiv:2205.02681] [INSPIRE].

    Article  ADS  Google Scholar 

  69. F.G. Celiberto, M. Fucilla, D.Y. Ivanov and A. Papa, High-energy resummation in Λc baryon production, Eur. Phys. J. C 81 (2021) 780 [arXiv:2105.06432] [INSPIRE].

    Article  ADS  Google Scholar 

  70. J.C. Collins and R.K. Ellis, Heavy quark production in very high-energy hadron collisions, Nucl. Phys. B 360 (1991) 3 [INSPIRE].

  71. L.N. Lipatov, Gauge invariant effective action for high-energy processes in QCD, Nucl. Phys. B 452 (1995) 369 [hep-ph/9502308] [INSPIRE].

  72. E.N. Antonov, L.N. Lipatov, E.A. Kuraev and I.O. Cherednikov, Feynman rules for effective Regge action, Nucl. Phys. B 721 (2005) 111 [hep-ph/0411185] [INSPIRE].

  73. A. van Hameren, P. Kotko and K. Kutak, Helicity amplitudes for high-energy scattering, JHEP 01 (2013) 078 [arXiv:1211.0961] [INSPIRE].

    Article  Google Scholar 

  74. M.A. Kimber, A.D. Martin and M.G. Ryskin, Unintegrated parton distributions, Phys. Rev. D 63 (2001) 114027 [hep-ph/0101348] [INSPIRE].

  75. F. Hautmann, H. Jung, A. Lelek, V. Radescu and R. Zlebcik, Collinear and TMD Quark and Gluon Densities from Parton Branching Solution of QCD Evolution Equations, JHEP 01 (2018) 070 [arXiv:1708.03279] [INSPIRE].

    Article  ADS  Google Scholar 

  76. I. Balitsky, Operator expansion for high-energy scattering, Nucl. Phys. B 463 (1996) 99 [hep-ph/9509348] [INSPIRE].

  77. Y.V. Kovchegov, Unitarization of the BFKL Pomeron on a nucleus, Phys. Rev. D 61 (2000) 074018 [hep-ph/9905214] [INSPIRE].

  78. M.A. Nefedov, Computing one-loop corrections to effective vertices with two scales in the EFT for Multi-Regge processes in QCD, Nucl. Phys. B 946 (2019) 114715 [arXiv:1902.11030] [INSPIRE].

  79. M.A. Nefedov, Towards stability of NLO corrections in High-Energy Factorization via Modified Multi-Regge Kinematics approximation, JHEP 08 (2020) 055 [arXiv:2003.02194] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  80. M. Deak, F. Hautmann, H. Jung and K. Kutak, Forward Jet Production at the Large Hadron Collider, JHEP 09 (2009) 121 [arXiv:0908.0538] [INSPIRE].

    Article  ADS  Google Scholar 

  81. F. Hautmann, M. Hentschinski and H. Jung, Forward Z-boson production and the unintegrated sea quark density, Nucl. Phys. B 865 (2012) 54 [arXiv:1205.1759] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  82. S. Catani and M.H. Seymour, A General algorithm for calculating jet cross-sections in NLO QCD, Nucl. Phys. B 485 (1997) 291 [Erratum ibid. 510 (1998) 503] [hep-ph/9605323] [INSPIRE].

  83. A. van Hameren, Calculating off-shell one-loop amplitudes for kT -dependent factorization: a proof of concept, arXiv:1710.07609 [INSPIRE].

  84. E. Blanco, A. van Hameren, P. Kotko and K. Kutak, All-plus helicity off-shell gauge invariant multigluon amplitudes at one loop, JHEP 12 (2020) 158 [arXiv:2008.07916] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  85. P. Kotko, Wilson lines and gauge invariant off-shell amplitudes, JHEP 07 (2014) 128 [arXiv:1403.4824] [INSPIRE].

    Article  ADS  Google Scholar 

  86. A. van Hameren, BCFW recursion for off-shell gluons, JHEP 07 (2014) 138 [arXiv:1404.7818] [INSPIRE].

    Article  ADS  Google Scholar 

  87. M. Ciafaloni, Energy scale and coherence effects in small x equations, Phys. Lett. B 429 (1998) 363 [hep-ph/9801322] [INSPIRE].

  88. Z. Bern and G. Chalmers, Factorization in one loop gauge theory, Nucl. Phys. B 447 (1995) 465 [hep-ph/9503236] [INSPIRE].

  89. Z. Bern, V. Del Duca, W.B. Kilgore and C.R. Schmidt, The infrared behavior of one loop QCD amplitudes at next-to-next-to leading order, Phys. Rev. D 60 (1999) 116001 [hep-ph/9903516] [INSPIRE].

  90. G. Ossola, C.G. Papadopoulos and R. Pittau, Reducing full one-loop amplitudes to scalar integrals at the integrand level, Nucl. Phys. B 763 (2007) 147 [hep-ph/0609007] [INSPIRE].

  91. W.T. Giele, Z. Kunszt and K. Melnikov, Full one-loop amplitudes from tree amplitudes, JHEP 04 (2008) 049 [arXiv:0801.2237] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  92. R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons, Nucl. Phys. B 715 (2005) 499 [hep-th/0412308] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  93. R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory, Phys. Rev. Lett. 94 (2005) 181602 [hep-th/0501052] [INSPIRE].

  94. Z. Kunszt, A. Signer and Z. Trócsányi, Singular terms of helicity amplitudes at one loop in QCD and the soft limit of the cross-sections of multiparton processes, Nucl. Phys. B 420 (1994) 550 [hep-ph/9401294] [INSPIRE].

  95. A. Bassetto, M. Ciafaloni and G. Marchesini, Jet Structure and Infrared Sensitive Quantities in Perturbative QCD, Phys. Rept. 100 (1983) 201 [INSPIRE].

    Article  ADS  Google Scholar 

  96. M. Ciafaloni, Coherence Effects in Initial Jets at Small Q2/s, Nucl. Phys. B 296 (1988) 49 [INSPIRE].

  97. S. Catani, F. Fiorani and G. Marchesini, Small x Behavior of Initial State Radiation in Perturbative QCD, Nucl. Phys. B 336 (1990) 18 [INSPIRE].

  98. M.L. Mangano and S.J. Parke, Multiparton amplitudes in gauge theories, Phys. Rept. 200 (1991) 301 [hep-th/0509223] [INSPIRE].

    Article  ADS  Google Scholar 

  99. R.K. Ellis and J.C. Sexton, QCD Radiative Corrections to Parton Parton Scattering, Nucl. Phys. B 269 (1986) 445 [INSPIRE].

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Nuclear Physics Polish Academy of Sciences, Radzikowskiego 152, PL-31342, Kraków, Poland

    Andreas van Hameren & Grzegorz Ziarko

  2. Institute of Theoretical Physics, Jagiellonian University, S. Łojasiewicza 11, 30-348, Kraków, Poland

    Leszek Motyka

Authors
  1. Andreas van Hameren
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Leszek Motyka
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Grzegorz Ziarko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Andreas van Hameren.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

ArXiv ePrint: 2205.09585

Rights and permissions

Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Reprints and Permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

van Hameren, A., Motyka, L. & Ziarko, G. Hybrid kT -factorization and impact factors at NLO. J. High Energ. Phys. 2022, 103 (2022). https://doi.org/10.1007/JHEP11(2022)103

Download citation

  • Received: 03 June 2022

  • Revised: 06 October 2022

  • Accepted: 07 November 2022

  • Published: 17 November 2022

  • DOI: https://doi.org/10.1007/JHEP11(2022)103

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Keywords

  • Deep Inelastic Scattering or Small-x Physics
  • Factorization
  • Renormalization Group
  • Higher-Order Perturbative Calculations
Download PDF

Working on a manuscript?

Avoid the common mistakes

Advertisement

Over 10 million scientific documents at your fingertips

Switch Edition
  • Academic Edition
  • Corporate Edition
  • Home
  • Impressum
  • Legal information
  • Privacy statement
  • Your US state privacy rights
  • How we use cookies
  • Your privacy choices/Manage cookies
  • Accessibility
  • FAQ
  • Contact us
  • Affiliate program

Not affiliated

Springer Nature

© 2023 Springer Nature Switzerland AG. Part of Springer Nature.