QCD resummation for hadronic final states

Journal of Physics G: Nuclear and Particle Physics

Volumn 42, Issue 10, 2015, Pages

  Luisoni, Gionata ^a   Marzani, Simone ^b  

^a MAX PLANCK INSTITUT FÜR PHYSIK   (Germany)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

particle colliders; QCD; resummation

Indexed keywords

EID: 84947582991     PISSN: 09543899     EISSN: 13616471     Source Type: Journal    
DOI: 10.1088/0954-3899/42/10/103101     Document Type: Review

References (183)

1. Aad G et al 2012 Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC Phys. Lett. B 716 1-29
2. Chatrchyan S et al 2012 Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC Phys. Lett. B 716 30-61
3. Englert F and Brout R 1964 Broken symmetry and the mass of gauge vector mesons Phys. Rev. Lett. 13 321-3
4. Higgs P W 1964 Broken symmetries, massless particles and gauge fields Phys. Lett. 12 132-3
5. Higgs P W 1964 Broken symmetries and the masses of gauge bosons Phys. Rev. Lett. 13 508-9
6. Higgs P W 1966 Spontaneous symmetry breakdown without massless bosons Phys. Rev. 145 1156-63
7. Bauer C W, Fleming S and Luke M E 2000 Summing Sudakov logarithms in in effective field theory Phys. Rev. D 63 014006
8. Bauer C W, Fleming S, Pirjol D and Stewart I W 2001 An effective field theory for collinear and soft gluons: heavy to light decays Phys. Rev. D 63 114020
9. Bauer C W and Stewart I W 2001 Invariant operators in collinear effective theory Phys. Lett. B 516 134-42
10. Bauer C W, Pirjol D and Stewart I W 2002 Soft collinear factorization in effective field theory Phys. Rev. D 65 054022
11. Beneke M, Chapovsky A, Diehl M and Feldmann T 2002 Soft collinear effective theory and heavy to light currents beyond leading power Nucl. Phys. B 643 431-76
12. Beneke M and Feldmann T 2003 Multipole expanded soft collinear effective theory with nonAbelian gauge symmetry Phys. Lett. B 553 267-76
13. Hill R J and Neubert M 2003 Spectator interactions in soft collinear effective theory Nucl. Phys. B 657 229-56
14. Becher T, Broggio A and Ferroglia A 2014 Introduction to soft-collinear effective theory (arXiv:1410.1892)
15. Sterman G and Zeng M 2014 Quantifying comparisons of threshold resummations J. High Energy Phys. JHEP05(2014)132
16. Almeida L G et al 2014 Comparing and counting logs in direct and effective methods of QCD resummation J. High Energy Phys. JHEP04(2014)174
17. Bonvini M, Forte S, Ridolfi G and Rottoli L 2015 Resummation prescriptions and ambiguities in SCET versus direct QCD: Higgs production as a case study J. High Energy Phys. JHEP01(2015)046
18. Bonvini M, Forte S, Ghezzi M and Ridolfi G 2013 The scale of soft resummation in SCET versus perturbative QCD Nucl. Phys. Proc. Suppl. 241-242 121-6
19. Bonvini M, Forte S, Ghezzi M and Ridolfi G 2012 Threshold Resummation in SCET versus Perturbative QCD: an Analytic Comparison Nucl. Phys. B 861 337-60
20. Bonvini M and Rottoli L 2015 Three loop soft function for N3LL′ gluon fusion Higgs production in soft-collinear effective theory Phys. Rev. D 91 051301
21. Bloch F and Nordsieck A 1937 Note on the radiation field of the electron Phys. Rev. 52 54
22. Kinoshita T 1962 Mass singularities of feynman amplitudes J. Math. Phys. 3 650
23. Lee T and Nauenberg M 1964 Degenerate systems and mass singularities Phys. Rev. B 133 1549
24. Dissertori G, Knowles I and Schmelling M 2003 Quantum Chromodynamics: High Energy Experiments and Theory (Oxford: Oxford University Press)
25. Sterman G F and Weinberg S 1977 Jets from quantum chromodynamics Phys. Rev. Lett. 39 1436
26. Sterman G F 1978 Mass divergences in annihilation processes: I. Origin and nature of divergences in cut vacuum polarization diagrams Phys. Rev. D 17 2773
27. Sterman G F 1978 Mass divergences in annihilation processes: II. Cancellation of divergences in cut vacuum polarization diagrams Phys. Rev. D 17 2789
28. Sterman G F 1979 Zero mass limit for a class of jet related cross-sections Phys. Rev. D 19 3135
29. Collins J C and Soper D E 1987 The theorems of perturbative QCD Annu. Rev. Nucl. Part. Sci. 37 383-409
30. Chang H-M, Procura M, Thaler J and Waalewijn W J 2013 Calculating track-based observables for the LHC Phys. Rev. Lett. 111 102002
31. Chang H-M, Procura M, Thaler J and Waalewijn W J 2013 Calculating track thrust with track functions Phys. Rev. D 88 034030
32. Larkoski A J and Thaler J 2013 Unsafe but calculable: ratios of angularities in perturbative QCD J. High Energy Phys. JHEP09(2013)137
33. Larkoski A J, Marzani S, Soyez G and Thaler J 2014 Soft drop J. High Energy Phys. JHEP05(2013)146
34. Larkoski A J, Marzani S and Thaler J 2015 Sudakov safety in perturbative QCD Phys. Rev. D 91 111501
35. Dokshitzer Y L, Khoze V A, Mueller A H and Troyan S I 1991 Basics of Perturbative QCD (Gif-sur-Yvette, France: Editions Frontieres)
36. Catani S 1998 Introduction to QCD (Geneva: CERN)
37. Ellis R K, Stirling W J and Webber B R 1996 QCD and collider physics Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 8 1-435
38. Yennie D R, Frautschi S C and Suura H 1961 The infrared divergence phenomena and high-energy processes Ann. Phys. 13 379-452
39. Catani S, Ciafaloni M and Marchesini G 1986 Non-cancelling infrared divergences in QCD coherent state Nucl. Phys. B 264 588-620
40. Catani S and Seymour M H 1997 A general algorithm for calculating jet cross sections in NLO QCD Nucl. Phys. B 485 291-419
41. Catani S and Seymour M H 1996 The dipole formalism for the calculation of QCD jet cross sections at next-to-leading order Phys. Lett. B 378 287-301
42. Dokshitzer Y and Marchesini G 2006 Soft gluons at large angles in hadron collisions J. High Energy Phys. JHEP01(2006)007
43. Dokshitzer Y and Marchesini G 2005 Hadron collisions and the fifth form-factor Phys. Lett. B 631 118-25
44. Ermolaev B I and Fadin V S 1981 Log-log asymptotic form of exclusive cross-sections in quantum chromodynamics JETP Lett. 33 269-72
45. Mueller A H 1981 On the multiplicity of hadrons in QCD jets Phys. Lett. B 104 161-4
46. Bassetto A, Ciafaloni M, Marchesini G and Mueller A H 1982 Jet multiplicity and soft gluon factorization Nucl. Phys. B 207 189
47. Dokshitzer Y L, Fadin V S and Khoze V A 1982 Double logs of perturbative QCD for parton jets and soft hadron spectra Z. Phys. C 15 325
48. Dokshitzer Y L, Fadin V S and Khoze V A 1983 On the sensitivity of the inclusive distributions in parton jets to the coherence effects in QCD gluon cascades Z. Phys. C 18 37
49. Catani S and Ciafaloni M 1985 Generalized coherent state for soft gluon emission Nucl. Phys. B 249 301
50. Catani S, Webber B R and Marchesini G 1991 QCD coherent branching and semiinclusive processes at large x Nucl. Phys. B 349 635-54
51. Catani S, Trentadue L, Turnock G and Webber B R 1993 Resummation of large logarithms in event shape distributions Nucl. Phys. B 407 3-42
52. Marchesini G and Webber B R 1984 Simulation of QCD jets including soft gluon interference Nucl. Phys. B 238 1
53. Marchesini G et al 1992 HERWIG: a Monte Carlo event generator for simulating hadron emission reactions with interfering gluons Comput. Phys. Commun. 67 465-508
54. Aad G et al 2012 Measurement of event shapes at large momentum transfer with the ATLAS detector in pp collisions at TeV Eur. Phys. J. C 72 2211
55. Khachatryan V et al 2014 Study of hadronic event-shape variables in multijet final states in pp collisions at = 7 TeV J. High Energy Phys. JHEP10(2104)87
56. Abbiendi G et al 2005 Measurement of event shape distributions and moments in hadrons at 91 GeV-209 GeV and a determination of alpha(s) Eur. Phys. J. C 40 287-316
57. Dissertori G et al 2008 First determination of the strong coupling constant using NNLO predictions for hadronic event shapes in annihilations J. High Energy Phys. JHEP02(2008)040
58. Bethke S, Kluth S, Pahl C and Schieck J 2009 Determination of the strong coupling s from hadronic event shapes with and resummed QCD predictions using JADE Data Eur. Phys. J. C 64 351-60
59. Becher T and Schwartz M D 2008 A precise determination of s from LEP thrust data using effective field theory J. High Energy Phys. JHEP07(2008)034
60. Abbate R, Fickinger M, Hoang A H, Mateu V and Stewart I W 2011 Thrust at with power corrections and a precision global fit for Phys. Rev. D 83 074021
61. Abbiendi G et al 2011 Determination of s using OPAL hadronic event shapes at - 209 GeV and resummed NNLO calculations Eur. Phys. J. C 71 1733
62. Gehrmann T, Luisoni G and Monni P F 2013 Power corrections in the dispersive model for a determination of the strong coupling constant from the thrust distribution Eur. Phys. J. C 73 2265
63. Dokshitzer Y L and Webber B 1995 Calculation of power corrections to hadronic event shapes Phys. Lett. B 352 451-5
64. Dokshitzer Y L, Marchesini G and Webber B 1996 Dispersive approach to power-behaved contributions in QCD hard processes Nucl. Phys. B 469 93-142
65. Dokshitzer Y L and Webber B 1997 Power corrections to event shape distributions Phys. Lett. B 404 321-7
66. Dokshitzer Y L, Lucenti A, Marchesini G and Salam G 1998 Universality of 1/Q corrections to jet shape observables rescued Nucl. Phys. B 511 396-418
67. Dokshitzer Y L, Lucenti A, Marchesini G and Salam G 1998 On the universality of the Milan factor for 1/Q power corrections to jet shapes J. High Energy Phys. JHEP05(1998)003
68. Dokshitzer Y L, Marchesini G and Salam G 1999 Revisiting nonperturbative effects in the jet broadenings Eur. Phys. J. Direct C 1 3
69. Salam G and Wicke D 2001 Hadron masses and power corrections to event shapes J. High Energy Phys. JHEP05(2001)061
70. Dasgupta M, Magnea L and Salam G P 2008 Non-perturbative QCD effects in jets at hadron colliders J. High Energy Phys. JHEP02(2008)055
71. Dasgupta M and Salam G 2001 Resummation of nonglobal QCD observables Phys. Lett. B 512 323-30
72. Banfi A, Salam G and Zanderighi G 2002 Semi-numerical resummation of event shapes J. High Energy Phys. JHEP01(2002)018
73. Banfi A, Salam G P and Zanderighi G 2004 Generalized resummation of QCD final state observables Phys. Lett. B 584 298-305
74. Banfi A, Salam G P and Zanderighi G 2005 Principles of general final-state resummation and automated implementation J. High Energy Phys. JHEP03(2005)073
75. Banfi A, Salam G P and Zanderighi G 2004 Resummed event shapes at hadron-hadron colliders J. High Energy Phys. JHEP08(2004)062
76. Banfi A, Salam G P and Zanderighi G 2010 Phenomenology of event shapes at hadron colliders J. High Energy Phys. JHEP06(2010)038
77. Farhi E 1977 A QCD test for jets Phys. Rev. Lett. 39 1587-8
78. Jones R W L, Ford M, Salam G P, Stenzel H and Wicke D 2003 Theoretical uncertainties on s from event-shape variables in annihilations J. High Energy Phys. 12 JHEP12(2003)007
79. Ford M T 2004 Studies of event shape observables with the OPAL detector at LEP (arXiv:hep-ex/0405054)
80. Catani S 2000 Aspects of QCD, from the tevatron to the LHC (arXiv:hep-ph/0005233)
81. Monni P F, Gehrmann T and Luisoni G 2011 Two-loop soft corrections and resummation of the thrust distribution in the dijet region J. High Energy Phys. JHEP08(2011)010
82. Polyakov A M 1980 Gauge fields as rings of glue Nucl. Phys. B 164 171-88
83. Brandt R A, Neri F and Sato M-a 1981 Renormalization of loop functions for all loops Phys. Rev. D 24 879
84. Korchemsky G and Marchesini G 1993 Structure function for large x and renormalization of Wilson loop Nucl. Phys. B 406 225-58
85. Catani S and Trentadue L 1989 Resummation of the QCD perturbative series for hard processes Nucl. Phys. B 327 323
86. Catani S, de Florian D, Grazzini M and Nason P 2003 Soft-gluon resummation for Higgs boson production at hadron colliders J. High Energy Phys. JHEP07(2003)028
87. Manohar A V and Wise M B 1995 Power suppressed corrections to hadronic event shapes Phys. Lett. B 344 407-12
88. Korchemsky G P and Sterman G F 1995 Nonperturbative corrections in resummed cross-sections Nucl. Phys. B 437 415-32
89. Korchemsky G 1998 Shape functions and power corrections to the event shapes (arXiv:hep-ph/9806537)
90. Gardi E and Grunberg G 1999 Power corrections in the single dressed gluon approximation: the average thrust as a case study J. High Energy Phys. JHEP11(1999)016
91. Hoang A H and Stewart I W 2008 Designing gapped soft functions for jet production Phys. Lett. B 660 483-93
92. Gardi E 2000 Perturbative and nonperturbative aspects of moments of the thrust distribution in annihilation J. High Energy Phys. JHEP04(1999)030
93. Gardi E and Rathsman J 2001 Renormalon resummation and exponentiation of soft and collinear gluon radiation in the thrust distribution Nucl. Phys. B 609 123-82
94. Korchemsky G P and Sterman G F 1999 Power corrections to event shapes and factorization Nucl. Phys. B 555 335-51
95. Korchemsky G and Tafat S 2000 On power corrections to the event shape distributions in QCD J. High Energy Phys. JHEP10(2000)010
96. Akhoury R and Zakharov V I 1995 On the universality of the leading, 1/Q power corrections in QCD Phys. Lett. B 357 646-52
97. Lee C and Sterman G F 2007 Momentum flow correlations from event shapes: factorized soft gluons and soft-collinear effective theory Phys. Rev. D 75 014022
98. Mateu V, Stewart I W and Thaler J 2013 Power corrections to event shapes with mass-dependent operators Phys. Rev. D 87 014025
99. Banfi A, Marchesini G, Dokshitzer Y L and Zanderighi G 2000 QCD analysis of near-to-planar three jet events J. High Energy Phys. JHEP07(2000)002
100. Contopanagos H, Laenen E and Sterman G F 1997 Sudakov factorization and resummation Nucl. Phys. B 484 303-30
101. Kidonakis N and Sterman G F 1997 Resummation for QCD hard scattering Nucl. Phys. B 505 321-48
102. Kidonakis N, Oderda G and Sterman G F 1998 Threshold resummation for dijet cross-sections Nucl. Phys. B 525 299-332
103. Kidonakis N, Oderda G and Sterman G F 1998 Evolution of color exchange in QCD hard scattering Nucl. Phys. B 531 365-402
104. Bonciani R, Catani S, Mangano M L and Nason P 2003 Sudakov resummation of multiparton QCD cross sections Phys. Lett. B 575 268-78
105. Forshaw J R, Kyrieleis A and Seymour M 2006 Super-leading logarithms in non-global observables in QCD J. High Energy Phys. JHEP08(2006)059
106. Forshaw J, Kyrieleis A and Seymour M 2008 Super-leading logarithms in non-global observables in QCD: colour basis independent calculation J. High Energy Phys. JHEP09(2008)128
107. Forshaw J, Keates J and Marzani S 2009 Jet vetoing at the LHC J. High Energy Phys. JHEP07(2009)023
108. Duran Delgado R M, Forshaw J R, Marzani S and Seymour M H 2011 The dijet cross section with a jet veto J. High Energy Phys. JHEP08(2011)157
109. Banfi A, McAslan H, Monni P F and Zanderighi G 2014 J. High Energy Phys. JHEP05(2015)102
110. Catani S and Webber B 1997 Infrared safe but infinite: soft gluon divergences inside the physical region J. High Energy Phys. JHEP10(1997)005
111. Gribov V N and Lipatov L N 1972 Deep inelastic e-p scattering in perturbation theory Sov. J. Nucl. Phys. 15 438-50
112. Dokshitzer Y L 1977 Calculation of the structure functions for deep inelastic scattering and annihilation by perturbation theory in quantum chromodynamics Sov. Phys. - JETP 46 641-53
113. Altarelli G and Parisi G 1977 Asymptotic freedom in parton language Nucl. Phys. B 126 298-318
114. Dasgupta M and Salam G P 2004 Event shapes in annihilation and deep inelastic scattering J. Phys. G: Nucl. Part. Phys. 30 R143
115. Kang D, Lee C and Stewart I W 2013 Using 1-jettiness to measure 2 jets in DIS 3 ways Phys. Rev. D 88 054004
116. Collins J C, Soper D E and Sterman G F 1985 Transverse momentum distribution in Drell-Yan pair and W and Z boson production Nucl. Phys. B 250 199
117. Bozzi G, Catani S, de Florian D and Grazzini M 2003 The q(T) spectrum of the Higgs boson at the LHC in QCD perturbation theory Phys. Lett. B 564 65-72
118. Bozzi G, Catani S, de Florian D and Grazzini M 2006 Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC Nucl. Phys. B 737 73-120
119. Bozzi G, Catani S, Ferrera G, de Florian D and Grazzini M 2011 Production of Drell-Yan lepton pairs in hadron collisions: transverse-momentum resummation at next-to-next-to-leading logarithmic accuracy Phys. Lett. B 696 207-13
120. Catani S and Grazzini M 2011 QCD transverse-momentum resummation in gluon fusion processes Nucl. Phys. B 845 297-323
121. Becher T and Neubert M 2011 Drell-Yan production at small qT, transverse parton distributions and the collinear anomaly Eur. Phys. J. C 71 1665
122. Catani S, Cieri L, de Florian D, Ferrera G and Grazzini M 2014 Universality of transverse-momentum resummation and hard factors at the NNLO Nucl. Phys. B 881 414-43
123. Gehrmann T, Luebbert T and Yang L L 2014 Calculation of the transverse parton distribution functions at next-to-next-to-leading order J. High Energy Phys. JHEP06(2014)155
124. Ladinsky G and Yuan C 1994 The Nonperturbative regime in QCD resummation for gauge boson production at hadron colliders Phys. Rev. D 50 4239
125. Landry F, Brock R, Nadolsky P M and Yuan C 2003 Tevatron Run-1 Z boson data and collins-Soper-Sterman resummation formalism Phys. Rev. D 67 073016
126. Banfi A, Dasgupta M, Marzani S and Tomlinson L 2012 Predictions for Drell-Yan φ∗ and QT observables at the LHC Phys. Lett. B 715 152-6
127. de Florian D, Ferrera G, Grazzini M and Tommasini D 2011 Transverse-momentum resummation: Higgs boson production at the Tevatron and the LHC J. High Energy Phys. JHEP11(2011)064
128. de Florian D, Ferrera G, Grazzini M and Tommasini D 2012 Higgs boson production at the LHC: transverse momentum resummation effects in the, and decay modes J. High Energy Phys. JHEP06(2012)132
129. Zhu H X, Li C S, Li H T, Shao D Y and Yang L L 2013 Transverse-momentum resummation for top-quark pairs at hadron colliders Phys. Rev. Lett. 110 082001
130. Li H T, Li C S, Shao D Y, Yang L L and Zhu H X 2013 Top quark pair production at small transverse momentum in hadronic collisions Phys. Rev. D 88 074004
131. Catani S, Grazzini M and Torre A 2014 Transverse-momentum resummation for heavy-quark hadroproduction Nucl. Phys. B 890 518-38
132. Vesterinen M and Wyatt T R 2009 A novel technique for studying the Z boson transverse momentum distribution at hadron colliders Nucl. Instrum. Methods A 602 432-7
133. Banfi A, Redford S, Vesterinen M, Waller P and Wyatt T R 2011 Optimisation of variables for studying dilepton transverse momentum distributions at hadron colliders Eur. Phys. J. C 1600
134. Banfi A, Dasgupta M and Duran Delgado R M 2009 The a(T) distribution of the Z boson at hadron colliders J. High Energy Phys. JHEP12(2009)022
135. Banfi A, Dasgupta M, Marzani S and Tomlinson L 2012 Probing the low transverse momentum domain of Z production with novel variables J. High Energy Phys. JHEP01(2012)044
136. Banfi A, Dasgupta M and Marzani S 2011 QCD predictions for new variables to study dilepton transverse momenta at hadron colliders Phys. Lett. B 701 75-81
137. Guzzi M, Nadolsky P M and Wang B 2014 Nonperturbative contributions to a resummed leptonic angular distribution in inclusive neutral vector boson production Phys. Rev. D 90 014030
138. Marzani S 2012 Phenomenology of electro-weak bosons at hadron colliders with novel variables Mod. Phys. Lett. A 27 1230029
139. Abazov V M et al 2011 Precise study of the boson transverse momentum distribution in collisions using a novel technique Phys. Rev. Lett. 106 122001
140. Aaij R et al 2013 Measurement of the cross-section for production in pp collisions at TeV J. High Energy Phys. JHEP02(2013)106
141. Aad G et al 2013 Measurement of angular correlations in Drell-Yan lepton pairs to probe boson transverse momentum at = 7 TeV with the ATLAS detector Phys. Lett. B 720 32-51
142. Aad G et al 2014 Measurement of the boson transverse momentum distribution in pp collisions at = 7 TeV with the ATLAS detector J. High Energy Phys. JHEP09(2014)145
143. Abazov V M et al 2015 Measurement of the distribution of muon pairs with masses between 30 and 500 GeV in 10.4 fb-1 of collisions Phys. Rev. D 91 072002
144. Banfi A, Salam G P and Zanderighi G 2012 NLL + NNLO predictions for jet-veto efficiencies in Higgs-boson and Drell-Yan production J. High Energy Phys. JHEP06(2012)159
145. Banfi A, Monni P F, Salam G P and Zanderighi G 2012 Higgs and Z-boson production with a jet veto Phys. Rev. Lett. 109 202001
146. Stewart I W, Tackmann F J, Walsh J R and Zuberi S 2014 Jet pT resummation in Higgs production at Phys. Rev. D 89 054001
147. Becher T, Neubert M and Rothen L 2013 Factorization and +NNLO predictions for the Higgs cross section with a jet veto J. High Energy Phys. JHEP10(2013)125
148. Sterman G F 1987 Summation of large corrections to short-distance hadronic cross sections Nucl. Phys. B 281 310
149. Forte S and Ridolfi G 2003 Renormalization group approach to soft gluon resummation Nucl. Phys. B 650 229-70
150. Moch S, Vermaseren J and Vogt A 2005 Higher-order corrections in threshold resummation Nucl. Phys. B 726 317-35
151. Moch S and Vogt A 2005 Higher-order soft corrections to lepton pair and Higgs boson production Phys. Lett. B 631 48-57
152. Laenen E and Magnea L 2006 Threshold resummation for electroweak annihilation from DIS data Phys. Lett. B 632 270-6
153. Bonvini M and Marzani S 2014 Resummed Higgs cross section at N3LL J. High Energy Phys. JHEP09(2014)007
154. Catani S, Cieri L, de Florian D, Ferrera G and Grazzini M 2014 Threshold resummation at N3LL accuracy and soft-virtual cross sections at N3LO Nucl. Phys. B 888 75-91
155. Ahmed T, Mahakhud M, Rana N and Ravindran V 2014 Drell-Yan production at threshold to third order in QCD Phys. Rev. Lett. 113 112002
156. Ahmed T, Mandal M, Rana N and Ravindran V 2014 Rapidity distributions in Drell-Yan and Higgs productions at threshold to third order in QCD Phys. Rev. Lett. 113 212003
157. Czakon M, Mitov A and Sterman G F 2009 Threshold resummation for top-pair hadroproduction to next-to-next-to-leading log Phys. Rev. D 80 074017
158. Czakon M, Fiedler P and Mitov A 2013 The total top quark pair production cross-section at hadron colliders through Phys. Rev. Lett. 110 252004
159. Lipatov L N 1976 Reggeization of the vector meson and the vacuum singularity in nonabelian gauge theories Sov. J. Nucl. Phys. 23 338-45
160. Fadin V S, Kuraev E and Lipatov L 1975 On the Pomeranchuk singularity in asymptotically free theories Phys. Lett. B 60 50-52
161. Kuraev E A, Lipatov L N and Fadin V S 1976 Multi-Reggeon processes in the Yang-Mills theory Sov. Phys. - JETP 44 443-50
162. Kuraev E A, Lipatov L N and Fadin V S 1977 The Pomeranchuk singularity in nonabelian gauge theories Sov. Phys. - JETP 45 199-204
163. Balitsky I I and Lipatov L N 1978 The Pomeranchuk singularity in quantum chromodynamics Sov. J. Nucl. Phys. 28 822-9
164. Fadin V S and Lipatov L 1998 BFKL pomeron in the next-to-leading approximation Phys. Lett. B 429 127-34
165. Salam G 1998 A resummation of large subleading corrections at small x J. High Energy Phys. JHEP07(1998)019
166. Ciafaloni M, Colferai D and Salam G 1999 Renormalization group improved small x equation Phys. Rev. D 60 114036
167. Ciafaloni M, Colferai D, Salam G and Stasto A 2003 Renormalization group improved small x Green's function Phys. Rev. D 68 114003
168. Ciafaloni M, Colferai D, Salam G and Stasto A 2007 A matrix formulation for small-x singlet evolution J. High Energy Phys. 0708 046
169. Ball R D and Forte S 1995 Summation of leading logarithms at small x Phys. Lett. B 351 313-24
170. Ball R D and Forte S 1997 Asymptotically free partons at high-energy Phys. Lett. B 405 317-26
171. Altarelli G, Ball R D and Forte S 2002 Factorization and resummation of small x scaling violations with running coupling Nucl. Phys. B 621 359-87
172. Altarelli G, Ball R D and Forte S 2003 An anomalous dimension for small x evolution Nucl. Phys. B 674 459-83
173. Altarelli G, Ball R D and Forte S 2006 Perturbatively stable resummed small x evolution kernels Nucl. Phys. B 742 1-40
174. Altarelli G, Ball R D and Forte S 2008 Small x resummation with quarks: deep-inelastic scattering Nucl. Phys. B 799 199-240
175. Catani S, Ciafaloni M and Hautmann F 1990 Gluon contributions to small x heavy flavor production Phys. Lett. B 242 97
176. Catani S, Ciafaloni M and Hautmann F 1991 High energy factorization and small-x heavy flavour production Nucl. Phys. B 366 135-88
177. Collins J C and Ellis R K 1991 Heavy quark production in very high energy hadron collisions Nucl. Phys. B 360 3-30
178. Catani S, Ciafaloni M and Hautmann F 1993 High-energy factorization in QCD and minimal subtraction scheme Phys. Lett. B 307 147-53
179. Catani S and Hautmann F 1993 Quark anomalous dimensions at small x Phys. Lett. B 315 157-63
180. Catani S and Hautmann F 1994 High-energy factorization and small x deep inelastic scattering beyond leading order Nucl. Phys. B 427 475-524
181. Ball R D 2008 Resummation of hadroproduction cross-sections at high energy Nucl. Phys. B 796 137-83
182. Caola F, Forte S and Marzani S 2011 Small x resummation of rapidity distributions: the case of Higgs production Nucl. Phys. B 846 167-211
183. Ball R and Ellis R K 2001 Heavy quark production at high-energy J. High Energy Phys. JHEP05(2001)053