The quark Regge trajectory at two loops

Bogdan, Andrey; Fadin, V. S.; Duca, Vittorio Del; Glover, E. W. N.

doi:10.1088/1126-6708/2002/03/032

Cited by 30 publications

(38 citation statements)

References 24 publications

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“…Those proofs are based on the gluon [16][17][18][19][20][21][22] and quark [23][24][25] Regge trajectories to one-loop order, which are necessary to generate all leading logarithms of s/t in the scattering amplitude 2 . The two-loop gluon [28][29][30][31][32] and quark [33] Regge trajectories have also been computed. Reggeization, however, has been proven to next-to-leading logarithmic order (NLL) only for the gluon [34].…”

Section: (12)mentioning

confidence: 99%

“…states the Reggeization of the quark to leading logarithmic accuracy [15]. The two-loop quark Regge trajectory was computed in [33], and reads…”

Section: The High-energy Limit: An Outlinementioning

confidence: 99%

“…K corresponding to parton i may be written as γ 33) which assumes that there are no quartic (or higher-rank) Casimir invariants contributing to γ…”

Section: The Dipole Formulamentioning

confidence: 99%

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The infrared structure of gauge theory amplitudes in the high-energy limit

Duca

Duhr

Gardi

et al. 2011

J. High Energ. Phys.

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Abstract:We develop an approach to the high-energy limit of gauge theories based on the universal properties of their infrared singularities. Our main tool is the dipole formula, a compact ansatz for the all-order infrared singularity structure of scattering amplitudes of massless partons. By taking the high-energy limit, we show that the dipole formula implies Reggeization of infrared-singular contributions to the amplitude, at leading logarithmic accuracy, for the exchange of arbitrary color representations in the cross channel. We observe that the real part of the amplitude Reggeizes also at next-to-leading logarithmic order, and we compute the singular part of the two-loop Regge trajectory, which is universally expressed in terms of the cusp anomalous dimension. Our approach provides tools to study the high-energy limit beyond the boundaries of Regge factorization: thus we show that Reggeization generically breaks down at next-to-next-to-leading logarithmic accuracy, and provide a general expression for the leading Reggeization-breaking operator. Our approach applies to multiparticle amplitudes in multi-Regge kinematics, and it also implies new constraints on possible corrections to the dipole formula, based on the Regge limit.

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Section: (12)mentioning

confidence: 99%

“…states the Reggeization of the quark to leading logarithmic accuracy [15]. The two-loop quark Regge trajectory was computed in [33], and reads…”

Section: The High-energy Limit: An Outlinementioning

confidence: 99%

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The infrared structure of gauge theory amplitudes in the high-energy limit

Duca

Duhr

Gardi

et al. 2011

J. High Energ. Phys.

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“…To account for this mechanism we recall that in QCD it was shown that multi-particle production corresponds to ladder exchanges. In particular for qq → gg scattering these lead to an effective qq → gg amplitude with a Reggeized quark exchanged in the t-channel [29][30][31][32][33][34][35][36][37][38][39], as illustrated in Fig. 4.…”

Section: Resonance Contributionmentioning

confidence: 99%

Form factors of pseudoscalar mesons

Guo

Szczepaniak

2012

Phys. Rev. C

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We consider the transition, (γ * π 0 (η, η ) → γ) and electromagnetic (γ * π ± → π ± ) form factors in a wide range of energy-momentum transfer, s. We employ dispersion relations to connect the time-like and space-like region. We discuss the role of resonances and QCD, partonic contributions. We find that the former give sizable contributions in the currently available range of s and for the latter we consider the role of reggeized fermion exchange.

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“…For definiteness we do not consider here the antiquark quantum numbers in any of q i channels. It determines the order of the multipliers in (6). At that, our consideration does not lose generality, since amplitudes with quark and antiquark exchanges are related by charge conjugation.…”

Section: Introductionmentioning

confidence: 99%

A proof of the reggeized form of amplitudes with quark exchanges

Bogdan¹,

Fadin²

2006

Nuclear Physics B

111

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A complete proof of the quark Reggeization hypothesis in the leading logarithmic approximation for any quark-gluon inelastic process in the multi-Regge kinematics in all orders of α s is given. First, we show that the multi-Regge form of QCD amplitudes is guarantied if a set of conditions on the Reggeon vertices and the trajectories is fulfilled. Then, we examine these conditions and show that they are satisfied.

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The quark Regge trajectory at two loops

Cited by 30 publications

References 24 publications

The infrared structure of gauge theory amplitudes in the high-energy limit

The infrared structure of gauge theory amplitudes in the high-energy limit

Form factors of pseudoscalar mesons

A proof of the reggeized form of amplitudes with quark exchanges

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