Abstract
We consider within QCD collinear factorization the inclusive process p + p → h 1 + h 2 + X, where the pair of identified hadrons, h 1 , h 2, having large transverse momenta is produced in high-energy proton-proton collisions. In particular, we concentrate on the kinematics where the two identified hadrons in the final state are separated by a large interval of rapidity Δy. In this case the (calculable) hard part of the reaction receives large higher order corrections ∼ \( \alpha_s^n\Delta {y^n} \). We provide a theoretical input for the resummation of such contributions with next-to-leading logarithmic accuracy (NLA) in the BFKL approach. Specifically, we calculate in NLA the vertex (impact-factor) for the inclusive production of the identified hadron. This process has much in common with the widely discussed Mueller-Navelet jets production and can be also used to access the BFKL dynamics at proton colliders. Another application of the obtained identified-hadron vertex could be the NLA BFKL description of inclusive forward hadron production in DIS.
Similar content being viewed by others
References
V.S. Fadin, E. Kuraev and L. Lipatov, On the Pomeranchuk Singularity in Asymptotically Free Theories, Phys. Lett. B 60 (1975) 50 [INSPIRE].
E. Kuraev, L. Lipatov and V.S. Fadin, Multi-reggeon processes in the Yang-Mills theory, Zh. Eksp. Teor. Fiz. 71 (1976) 840 [Sov. Phys. JETP 44 (1976) 443] [INSPIRE].
E. Kuraev, L. Lipatov and V.S. Fadin, The Pomeranchuk Singularity in Nonabelian Gauge Theories, Zh. Eksp. Teor. Fiz. 72 (1977) 377 [Sov. Phys. JETP 45 (1977) 199] [INSPIRE].
I. Balitsky and L. Lipatov, The Pomeranchuk Singularity in Quantum Chromodynamics, Sov. J. Nucl. Phys. 28 (1978) 822 [INSPIRE].
V.S. Fadin and R. Fiore, The Generalized nonforward BFKL equation and the ’bootstrap’ condition for the gluon Reggeization in the NLLA, Phys. Lett. B 440 (1998) 359 [hep-ph/9807472] [INSPIRE].
V.S. Fadin and L. Lipatov, BFKL Pomeron in the next-to-leading approximation, Phys. Lett. B 429 (1998) 127 [hep-ph/9802290] [INSPIRE].
M. Ciafaloni and G. Camici, Energy scale(s) and next-to-leading BFKL equation, Phys. Lett. B 430 (1998) 349 [hep-ph/9803389] [INSPIRE].
V. Fadin and R. Fiore, Non-forward BFKL Pomeron at next-to-leading order, Phys. Lett. B 610 (2005) 61 [Erratum ibid. B 621 (2005) 320] [hep-ph/0412386] [INSPIRE].
V. Fadin and R. Fiore, Non-forward NLO BFKL kernel, Phys. Rev. D 72 (2005) 014018 [hep-ph/0502045] [INSPIRE].
V.S. Fadin, R. Fiore, M. Kotsky and A. Papa, The gluon impact factors, Phys. Rev. D 61 (2000) 094005 [hep-ph/9908264] [INSPIRE].
V.S. Fadin, R. Fiore, M. Kotsky and A. Papa, The quark impact factors, Phys. Rev. D 61 (2000) 094006 [hep-ph/9908265] [INSPIRE].
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].
J. Bartels, D. Colferai and G. 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].
J. Bartels, D. Colferai and G. 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].
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].
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].
J. Bartels, S. Gieseke and C. Qiao, The (γ * → \( q\overline q \)) Reggeon vertex in next-to-leading order QCD, Phys. Rev. D 63 (2001) 056014 [Erratum ibid. D 65 (2002) 079902] [hep-ph/0009102] [INSPIRE].
J. Bartels, S. Gieseke and A. Kyrieleis, The process \( \gamma_{{^L}}^{ * } + q \to \left( {q\overline q g} \right) + q \) : real corrections to the virtual photon impact factor, Phys. Rev. D 65 (2002) 014006 [hep-ph/0107152] [INSPIRE].
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].
J. Bartels and A. Kyrieleis, NLO corrections to the γ * impact factor: First numerical results for the real corrections to \( \gamma_{{^L}}^{ * } \), Phys. Rev. D 70 (2004) 114003 [hep-ph/0407051] [INSPIRE].
V.S. Fadin, D.Y. Ivanov and M. Kotsky, Photon Reggeon interaction vertices in the NLA, Phys. Atom. Nucl. 65 (2002) 1513 [Yad. Fiz. 65 (2002) 1551] [hep-ph/0106099] [INSPIRE].
V. Fadin, D.Y. Ivanov and M. Kotsky, On the calculation of the NLO virtual photon impact factor, Nucl. Phys. B 658 (2003) 156 [hep-ph/0210406] [INSPIRE].
D.Y. Ivanov, M. 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].
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].
J. Bartels, A. De Roeck and H. Lotter, The γ * γ * total cross-section and the BFKL Pomeron at e + e − colliders, Phys. Lett. B 389 (1996) 742 [hep-ph/9608401] [INSPIRE].
S. Brodsky, F. Hautmann and D. Soper, Virtual photon scattering at high-energies as a probe of the short distance Pomeron, Phys. Rev. D 56 (1997) 6957 [hep-ph/9706427] [INSPIRE].
S. Brodsky, F. Hautmann and D. Soper, Probing the QCD Pomeron in e + e − collisions, Phys. Rev. Lett. 78 (1997) 803 [Erratum ibid. 79 (1997) 3544] [hep-ph/9610260] [INSPIRE].
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].
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].
F. Caporale, A. Papa and A. Sabio Vera, Collinear improvement of the BFKL kernel in the electroproduction of two light vector mesons, Eur. Phys. J. C 53 (2008) 525 [arXiv:0707.4100] [INSPIRE].
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].
A.H. Mueller and H. Navelet, An Inclusive Minijet Cross-Section and the Bare Pomeron in QCD, Nucl. Phys. B 282 (1987) 727 [INSPIRE].
V. Gribov and L. Lipatov, Deep inelastic e p scattering in perturbation theory, Sov. J. Nucl. Phys. 15 (1972) 438 [INSPIRE].
G. Altarelli and G. Parisi, Asymptotic Freedom in Parton Language, Nucl. Phys. B 126 (1977) 298 [INSPIRE].
Y.L. Dokshitzer, Calculation of the Structure Functions for Deep Inelastic Scattering and e + e − Annihilation by Perturbation Theory in Quantum Chromodynamics, Sov. Phys. JETP 46 (1977) 641 [INSPIRE].
R. Kirschner and M. Segond, Small x resummation in collinear factorisation, Eur. Phys. J. C 68 (2010) 425 [arXiv:0910.5443] [INSPIRE].
A. Kotikov and L. Lipatov, NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories, Nucl. Phys. B 582 (2000) 19 [hep-ph/0004008] [INSPIRE].
H1 collaboration, A. Aktas et al., Forward pi0 production and associated transverse energy flow in deep-inelastic scattering at HERA, Eur. Phys. J. C 36 (2004) 441 [hep-ex/0404009] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1205.6068
Rights and permissions
About this article
Cite this article
Ivanov, D.Y., Papa, A. Inclusive production of a pair of hadrons separated by a large interval of rapidity in proton collisions. J. High Energ. Phys. 2012, 45 (2012). https://doi.org/10.1007/JHEP07(2012)045
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2012)045