Higher order effects in non-linear evolution from a veto in rapidities

G. Chachamis; M. Lublinsky; A. Sabio Vera

doi:10.1016/j.nuclphysa.2004.11.011

Higher order effects in non-linear evolution from a veto in rapidities

G. Chachamis, M. Lublinsky, A. Sabio Vera

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Abstract

Higher order corrections to the Balitsky-Kovchegov equation have been estimated by introducing a rapidity veto which forbids subsequent emissions to be very close in rapidity and is known to mimic higher order corrections to the linear BFKL equation. The rapidity veto constraint has been first introduced using analytical arguments obtaining a power growth with energy, Q_s ∼ e^λY, of the saturation scale of λ ∼ 0.45. Then a numerical analysis for the non-linear Balitsky-Kovchegov equation has been carried out for phenomenological rapidities: when a veto of about two units of rapidity is introduced for a fixed value of the coupling constant of α_s = 0.2 the saturation scale λ decreases from ∼0.6 to ∼0.3, and when running coupling effects are taken into account it decreases from ∼0.4 to ∼0.3.

Original language	English
Pages (from-to)	649-663
Number of pages	15
Journal	Nuclear Physics A
Volume	748
Issue number	3-4
DOIs	https://doi.org/10.1016/j.nuclphysa.2004.11.011
State	Published - 21 Feb 2005
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.nuclphysa.2004.11.011

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title = "Higher order effects in non-linear evolution from a veto in rapidities",

abstract = "Higher order corrections to the Balitsky-Kovchegov equation have been estimated by introducing a rapidity veto which forbids subsequent emissions to be very close in rapidity and is known to mimic higher order corrections to the linear BFKL equation. The rapidity veto constraint has been first introduced using analytical arguments obtaining a power growth with energy, Qs ∼ eλY, of the saturation scale of λ ∼ 0.45. Then a numerical analysis for the non-linear Balitsky-Kovchegov equation has been carried out for phenomenological rapidities: when a veto of about two units of rapidity is introduced for a fixed value of the coupling constant of αs = 0.2 the saturation scale λ decreases from ∼0.6 to ∼0.3, and when running coupling effects are taken into account it decreases from ∼0.4 to ∼0.3.",

author = "G. Chachamis and M. Lublinsky and {Sabio Vera}, A.",

note = "Funding Information: We would like to thank Nestor Armesto, Jochen Bartels, Jeff Forshaw, Krzysztof Kutak, Eugene Levin, Lev Lipatov, Misha Ryskin, Anna Stasto and James Stirling for fruitful discussions and interest in this work. A.S.V. would like to thank the CERN Theory Division for hospitality, his contribution to this work was supported by an Alexander von Humboldt Postdoctoral Fellowship. G.C. is supported by the Graduiertenkolleg “Zuk{\"u}nftige Entwicklungen in der Teilchenphysik”.",

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doi = "10.1016/j.nuclphysa.2004.11.011",

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T1 - Higher order effects in non-linear evolution from a veto in rapidities

AU - Chachamis, G.

AU - Lublinsky, M.

AU - Sabio Vera, A.

N1 - Funding Information: We would like to thank Nestor Armesto, Jochen Bartels, Jeff Forshaw, Krzysztof Kutak, Eugene Levin, Lev Lipatov, Misha Ryskin, Anna Stasto and James Stirling for fruitful discussions and interest in this work. A.S.V. would like to thank the CERN Theory Division for hospitality, his contribution to this work was supported by an Alexander von Humboldt Postdoctoral Fellowship. G.C. is supported by the Graduiertenkolleg “Zukünftige Entwicklungen in der Teilchenphysik”.

PY - 2005/2/21

Y1 - 2005/2/21

N2 - Higher order corrections to the Balitsky-Kovchegov equation have been estimated by introducing a rapidity veto which forbids subsequent emissions to be very close in rapidity and is known to mimic higher order corrections to the linear BFKL equation. The rapidity veto constraint has been first introduced using analytical arguments obtaining a power growth with energy, Qs ∼ eλY, of the saturation scale of λ ∼ 0.45. Then a numerical analysis for the non-linear Balitsky-Kovchegov equation has been carried out for phenomenological rapidities: when a veto of about two units of rapidity is introduced for a fixed value of the coupling constant of αs = 0.2 the saturation scale λ decreases from ∼0.6 to ∼0.3, and when running coupling effects are taken into account it decreases from ∼0.4 to ∼0.3.

AB - Higher order corrections to the Balitsky-Kovchegov equation have been estimated by introducing a rapidity veto which forbids subsequent emissions to be very close in rapidity and is known to mimic higher order corrections to the linear BFKL equation. The rapidity veto constraint has been first introduced using analytical arguments obtaining a power growth with energy, Qs ∼ eλY, of the saturation scale of λ ∼ 0.45. Then a numerical analysis for the non-linear Balitsky-Kovchegov equation has been carried out for phenomenological rapidities: when a veto of about two units of rapidity is introduced for a fixed value of the coupling constant of αs = 0.2 the saturation scale λ decreases from ∼0.6 to ∼0.3, and when running coupling effects are taken into account it decreases from ∼0.4 to ∼0.3.

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SN - 0375-9474

VL - 748

SP - 649

EP - 663

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 3-4

ER -

Higher order effects in non-linear evolution from a veto in rapidities

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