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REVIEW 3 major objections 3 minor 53 references

Regge poles and cuts and the Lipatov vertex

T0 review · 3 major / 3 minor · reviewed 2026-08-10 · deepseek-v4-flash

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Pith's one-line read The paper claims that the two-loop multi-Reggeon contribution to the octet-octet channel of 2→3 QCD amplitudes is given by eqs.

desk verdict A proceedings-style review of the Edinburgh Reggeon program that includes a genuinely new two-loop multi-Reggeon result for 2->3 amplitudes, plausibly the key to the two-loop Lipatov vertex, but the extraction's absorption prescription is asserted rather than checked. read the letter →

arxiv 2412.20577 v1 pith:OEO7JRRV submitted 2024-12-29 hep-ph

Samuel Abreu , Giulio Falcioni , Einan Gardi , Calum Milloy , Leonardo Vernazza This is my paper · ORCID
classification hep-ph
keywords Reggelimitmulti-ReggeonexchangepoleandcutLipatovvertexrapidityevolutionequationstwo-loopQCDamplitudesgluonReggeizationfive-partonscattering
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

Scattering amplitudes in the high-energy limit are organised by singularities in the complex angular momentum plane: Regge poles, which in QCD give gluon Reggeization, and Regge cuts, produced by multi-Reggeon exchange. This paper reports the first computation of the two-loop multi-Reggeon exchange contribution to the octet-octet component of 2→3 amplitudes in multi-Regge kinematics, given explicitly in eqs. (24)–(27). Because this contribution breaks the single-Reggeon factorization of eq. (19), it must be subtracted before the two-loop Lipatov vertex can be read off. The paper argues that after the subtraction, the remaining single-Reggeon pole, divided by the 2→2 impact factors and gluon Regge trajectory, yields the two-loop Lipatov vertex. This matters because the vertex is currently known only at one loop and is a key input to the next-order high-energy evolution kernel and to predictions for higher-point amplitudes.

What carries the argument

The central object is the Reggeon effective theory built from Wilson lines in the shockwave formalism, where the projectile is a string of Wilson lines and the weak-field expansion sources individual Reggeons; the non-linear rapidity evolution equations act purely in the transverse plane. For 2→3 scattering the amplitude is written as $\langle \psi_j | e^{-H L_2} a_4(p_4) e^{-H L_1} | \psi_i \rangle$, with the mid-rapidity gluon inserted by the annihilation operator $a_4$, and the multi-Reggeon diagrams are generated by expanding this expression in Reggeon fields. The factorization formula (19), $$$M^{{(-,-)}}$_{ij\to i'gj'}\big|_{\text{1-Reggeon}} = c_i(t_1)\, $e^{{C_A \alpha_g(t_1)L_1}}$\, v(t_1,t_2,$p_4^{2}$)\, $e^{{C_A \alpha_g(t_2)L_2}}$\, c_j(t_2)\, $M^{{\rm tree}}$,$$ defines the Lipatov vertex $v$ as the irreducible reggeon-reggeon-gluon emission vertex at mid rapidity. The new explicit results are the colour factors (22)–(23) and the functions (25)–(27), built from the dilogarithm combination $D_2(z,\bar z)$ defined in eq. (28), which encode the two-loop multi-Reggeon contribution in the octet-octet channel.

What would settle it

Compute the two-loop Lipatov vertex independently by a direct diagrammatic Reggeon computation (e.g. the approach of refs. [35–37] of the paper) or from the full two-loop 2→3 amplitudes without the Reggeon subtraction, and compare with the vertex obtained from eqs. (19)–(27); any disagreement in the colour-subleading, non-planar part would show that the multi-Reggeon subtraction missed a contribution or that the 2→2 impact factors do not transfer unchanged to 2→3.

Watch

Extended reading notes

Core claim

At two loops the signature-odd, octet-octet component of the 2→3 amplitude in multi-Regge kinematics receives, in addition to the single-Reggeon exchange, three types of multi-Reggeon contribution: $RgR^3$, $R^3gR$ and $R^3gR^3$ (eq. (21)). The paper computes the sum of these contributions in the shockwave/Reggeon effective description and finds eq. (24), with the process-dependent functions $F_{\rm fact}$, $F_{qq}$, $F_{qg}$ given in eqs. (25)–(27); the leading large-$N_c$ terms are universal and factorizable, while the subleading terms are non-universal and break Regge-pole factorization. Subtracting these multi-Reggeon contributions from the full two-loop amplitudes isolates the single-Reggeon pole; applying the factorization formula (19) then determines the two-loop Lipatov vertex $v(t_1,t_2,p_4^2)$, using the same impact factors and gluon trajectory that appear in 2→2 scattering. The extraction can be performed in the $gg$, $qq$ and $qg$ channels, providing an internal consistency check. The paper presents this as a progress report; the complete derivation of the vertex is announced for a forthcoming companion publication.

Load-bearing premise

The argument assumes that the impact factors and the gluon Regge trajectory appearing in the 2→3 factorization formula are exactly the same objects as in 2→2 scattering, and that the computed multi-Reggeon diagrams are the only two-loop contributions to the octet-octet component beyond the single-Reggeon pole.

Editorial extensions

If this is right

  • The two-loop Lipatov vertex follows from already-computed two-loop 2→3 amplitudes; no new full five-point computation is needed.
  • Performing the extraction separately for $gg$, $qq$ and $qg$ channels yields an internal check of the factorization formula (19).
  • With the two-loop vertex in hand, the multi-Regge limit of higher-multiplicity amplitudes can be predicted at the corresponding logarithmic accuracy.
  • The separation into universal large-$N_c$ factorized terms and non-universal subleading terms confirms that Regge cuts first appear in the odd-odd signature octet-octet component at two loops, as expected from the 2→2 analysis.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the $gg$, $qq$ and $qg$ extractions agree, the same subtraction protocol could be pushed to higher logarithmic accuracy, where five-Reggeon exchanges would enter and the structure of the cut contribution could be tested against soft-anomalous-dimension predictions.
  • The explicit dilogarithmic form of the multi-Reggeon functions suggests that the two-loop Regge cut shares transcendental structure with other transverse-momentum integrals; this could serve as a diagnostic for separating pole and cut pieces in numerical five-point computations.
  • A direct, independent diagrammatic Reggeon computation of the two-loop Lipatov vertex would settle the universality assumption; if it disagrees, the 2→2 impact factors would need two-loop corrections specific to 2→3 kinematics.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 3 minor

Summary. The paper reviews and extends a programme for disentangling Regge poles and Regge cuts in high-energy QCD amplitudes using rapidity evolution equations formulated in terms of Reggeon fields. It reviews the 2→2 results, where the NNLL signature-odd amplitude is decomposed into a factorized single-Reggeon pole plus non-factorizable multi-Reggeon cuts, and then reports new 2→3 results: the octet-octet component of the two-loop five-parton amplitude receives multi-Reggeon contributions given in eqs. (21)-(27), and subtracting the subleading large-N_c pieces isolates the single-Reggeon pole, from which the two-loop Lipatov vertex is extracted using the factorization formula (19). The details of the calculation are delegated to the forthcoming paper [53].

Significance. If the reported formulas are correct, the paper would establish the first extraction of the two-loop Lipatov vertex from existing two-loop five-parton amplitude computations. This would provide a rare analytic handle on five-point two-loop amplitudes, enable multi-Regge-kinematics predictions for higher-point amplitudes, and supply a key ingredient for the next-to-leading-order BFKL kernel. The paper's strengths include a systematic framework that has already produced concrete 2→2 results, an explicit colour decomposition in eqs. (22)-(23), and a proposed cross-check of the extraction in three scattering channels. However, because the central 2→3 formulas are not derived in the text and because the absorption of the universal large-N_c term into the factorized pole is not specified, the central claim cannot currently be verified; the paper is transparent about this by referring to [53].

major comments (3)
  1. [§5, eqs. (24)-(27)] The central new result, the multi-Reggeon contribution to the octet-octet component of the two-loop 2→3 amplitude, is stated without derivation; the text says 'Here we briefly summarise the final results of these calculations, delegating the details to [53].' Since [53] is not available, the formulas in (24)-(27) cannot be checked from this manuscript. The extraction of the Lipatov vertex depends on subtracting these expressions from the full two-loop amplitudes, so this unverified input is load-bearing. The paper should either include enough of the derivation, or at least a detailed consistency check such as the singularity structure against known infrared or Regge constraints, or be framed strictly as an announcement contingent on [53].
  2. [§5, after eq. (23) and after eq. (27)] The claim that the leading large-N_c terms 'can be absorbed into the Regge-pole factorized expression (19)' is an assumption, not a demonstrated result. Because v in (19) is unknown at two loops, the universal F_fact term, including the (N_c^2+36)F_fact coefficient in the gg channel, could in principle be absorbed into v, into the impact factors c_i/c_j, or into the trajectory factor; these choices give different extracted vertices. The manuscript does not specify the absorption prescription or prove that it matches the prescription used in the 2→2 extraction of c_i and α_g. The three-channel cross-check cannot resolve this ambiguity, since F_fact is universal and would cancel in any comparison. Without this specification, the remainder after subtraction cannot be identified as the bare factorized pole contribution.
  3. [§5, paragraph after eq. (19) and footnote 1] For the 2→2 case the paper cites explicit checks of the consistency conditions that support the pole/cut separation: the footnote lists equality of the leading large-N_c corrections and their vanishing from four loops onward, verified through four loops in [14,15]. For the 2→3 case, the paper only says that factorization-violating terms 'are expected to arise only from non-planar diagrams'. No analogous check is shown that the decomposition (21) leaves exactly the 2→2 impact factors and trajectory in (19) after subtraction. This is a load-bearing gap in the justification of the extraction.
minor comments (3)
  1. [Throughout] The typeset text contains numerous typographical and OCR-style artifacts, for example 'dabbed' for 'dubbed', 'multi-Reggeonexchange', 'Reggeizedgluon', and a duplicated affiliation line for the first author; these should be corrected.
  2. [§5, eqs. (22)-(23)] The colour tensors c[R1,R2] are introduced only by reference to [53]; since [53] is not available, the notation is not self-contained. A brief definition in words or in an appendix would help the reader.
  3. [§5, below eq. (19)] The variables z and \bar z are described only through the phrase 'defined such that momentum conservation is admitted'; an explicit formula such as z = -p3/p4 would remove ambiguity.

Circularity Check

0 steps flagged · score 1.0 of 10

No circular reduction in the Lipatov-vertex extraction: the multi-Reggeon subtraction terms of eq. (24) are computed directly and are not fitted to the 2->3 amplitude; the extraction is a rearrangement that determines v.

full rationale

Walking the derivation chain: the two-loop octet-octet 2->3 amplitude is decomposed in eq. (21) into single-Reggeon (RgR) plus three multi-Reggeon pieces. The multi-Reggeon pieces are computed by 'performing the 2-2*eps dimensional loop integrals in the diagrams of figure 5, isolating the octet-octet component, and summing over the multi-Reggeon contributions in eq. (21)', producing eq. (24) with the functions (25)-(27). These functions are obtained from an independent effective-Reggeon calculation (Balitsky-JIMWLK evolution plus the gluon-emission vertex), not by fitting to the full 2->3 amplitude; hence the subsequent step - 'Upon subtracting the subleading terms in N_c in eq. (24)... using the factorization formula (19) to divide... we readily obtain the two-loop Lipatov vertex' - is a rearrangement that defines v from a known MR subtraction, not a case of Eq. X = Eq. Y by construction. There are two legitimate concerns, but neither is a circular reduction. First, the claim that the universal leading-N_c MR term 'can be absorbed into the Regge-pole factorized expression (19), as expected' is an assumption imported from the same authors' 2->2 analysis [14,15]; if the absorption prescription differed, the extracted v would be contaminated, but the MR terms themselves do not depend on v, so the derivation is not self-referential. Second, the detailed derivation is 'delegating the details to [53]', an unpublished same-author paper; this is an omitted proof/completeness gap, not a circular step. The 2->2 impact factors and trajectory used in (19) come from published work benchmarked against fixed-order amplitudes [1-3,14,15], and the vertex extraction is to be checked against an independent group (acknowledgments), providing external anchors. Score 1 reflects these minor self-citation/completeness issues without diagnosing circularity.

Assumptions & free parameters 0 free parameters · 3 assumptions · 0 invented entities

The paper introduces no fitted parameters and no new entities: Reggeons and the shockwave/Reggeon field description are established concepts in the prior literature. The central new calculation is parameter-free, but it rests on the validity of the rapidity evolution framework and on the universality of the factorized pole pieces.

assumptions (3)
  • domain assumption The shockwave/rapidity evolution formalism correctly describes the perturbative high-energy limit of QCD amplitudes.
    Invoked in Section 3 as the basis for computing multi-Reggeon exchange; it is a framework from prior work [8,9,13-15], not re-derived here.
  • domain assumption The impact factors and the gluon Regge trajectory in the 2->3 factorization formula (19) are the same as in 2->2 scattering.
    Used in Section 5 to divide out the Regge-pole contribution; if false, the extracted Lipatov vertex would be contaminated.
  • domain assumption At NNLL, planar multi-Reggeon contributions to the signature-odd amplitude are Regge-pole factorizable, while non-planar ones form the Regge cut.
    Used in Section 4 (eq. 17) to disentangle pole and cut; verified through four loops in prior work but still an input assumption here.

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Cite this review

Pith. "Pith review of Regge poles and cuts and the Lipatov vertex." pith.science (2026). https://pith.science/paper/OEO7JRRV

@misc{pith2026241220577,
  author       = {Pith},
  title        = {Pith review of: Regge poles and cuts and the Lipatov vertex},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/OEO7JRRV}},
  note         = {Machine review of arXiv:2412.20577}
}
read the original abstract

Scattering amplitudes in the high-energy limit can be described in terms of their singularity structure in the complex angular momentum plane, consisting of Regge poles and cuts. In QCD, gluon Reggeization has long been understood as a manifestation of a Regge pole, but until recently Reggeization violation remained largely obscure. New methods, based on iterative solution of rapidity evolution equations, facilitate direct computation of components of the amplitude which are mediated by multi-Reggeon exchange, a manifestation of Regge cuts. Upon disentangling the Regge cut from the pole we are now able to extract the pole parameters from state-of-the-art fixed-order computations (3 loops) and make predictions regarding certain components of the amplitude to higher loop orders. In this talk I review the key ideas which led to this progress, describe where we stand in exploring the structure of 2 -> 2 and 2 -> 3 amplitudes in the (multi-) Regge limit, and comment on the interplay between this research and the study of infrared factorization.

Figures

Figures reproduced from arXiv: 2412.20577 by the authors.

Figure 1
Figure 1. Regge (pole) factorization in 2 → 2 scattering. Here the wavy line represents a Reggeized gluon exchanged in the 𝑡 channel, while the scattered particles (𝑖 and 𝑗) may be quarks or gluons. The impact factors 𝐶𝑖/ 𝑗 represent the effective vertex for single Reggeon emission. More profoundly, power-like growth of partonic QCD amplitudes persists to loop level: at leading-logarithmic (LL) accuracy the amplitude behaves … view at source ↗
Figure 2
Figure 2. Multi-Reggeon exchange in 2 → 2 scattering: four loop examples into a three-Reggeon state, and then back again into a single Reggeon. Examples of such four-loop diagrams are shown in figure 2c. A key property of the multi-Reggeon contribution to the signature-odd NNLL tower of correc￾tions (16) is that it is proportional to (𝑖𝜋) 2 . Another key property is that the contributions to (16) that are leading in the large… view at source ↗
Figure 3
Figure 3. The MRK limit in 2 → 3 scattering and the corresponding factorization in the octet-octet channel. We work in the frame where 𝑃1 = √ 𝑠12 2 (1, 0, 0, −1), and 𝑃2 = √ 𝑠12 2 (1, 0, 0, 1). One new feature compared to 2 → 2 scattering is that signature needs to be defined separately for the target and for the projectile, hence one has four signature components in total, which we denote by M(±,±) 𝑖 𝑗→𝑖 ′𝑔 𝑗′. Regge-pole fa… view at source ↗
Figures from the paper (1 more)
Figure 5
Figure 5. Figure 5: Multi-Reggeon exchange of Odd-Odd signature at two loop in 2 → 3 scattering First we note that the colour factors arising from the diagrams in figure 5 (and the target￾projectile symmetric counterpart) are 𝐶R3𝑔R3 =     𝑁2 𝑐 72 + 1 2  𝑐 [8𝑎,8𝑎 ] − √…

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Works this paper leans on

53 extracted references · 16 canonical work pages

  1. [53]

    Abreu, G

    S. Abreu, G. De Laurentis, G. Falcioni, E. Gardi, C. Milloy, and L. Vernazza,The Two-Loop Lipatov Vertex, To be published(2024). 16 Regge poles and cuts and the Lipatov vertex Einan Gardi

    work page 2024

  2. [1]

    Caola, A

    F. Caola, A. Chakraborty, G. Gambuti, A. von Manteuffel, and L. Tancredi,Three-loop helicity amplitudes for quark-gluon scattering in QCD,JHEP 12 (2022) 082, [arXiv:2207.03503]

    arXiv 2022

  3. [2]

    Caola, A

    F. Caola, A. Chakraborty, G. Gambuti, A. von Manteuffel, and L. Tancredi,Three-loop helicity amplitudes for four-quark scattering in massless QCD, JHEP 10(2021) 206, [arXiv:2108.00055]

    arXiv 2021

  4. [3]

    Caola, A

    F. Caola, A. Chakraborty, G. Gambuti, A. von Manteuffel, and L. Tancredi,Three-Loop Gluon Scattering in QCD and the Gluon Regge Trajectory, Phys. Rev. Lett.128 (2022), no. 21 212001, [arXiv:2112.11097]

    arXiv 2022

  5. [4]

    Agarwal, F

    B. Agarwal, F. Buccioni, F. Devoto, G. Gambuti, A. von Manteuffel, and L. Tancredi, Five-parton scattering in QCD at two loops,Phys. Rev. D109(2024), no. 9 094025, [arXiv:2311.09870]

    arXiv 2024

  6. [5]

    Non-Planar Two-Loop Amplitudes for Five-Parton Scattering

    G. De Laurentis,Non-Planar Two-Loop Amplitudes for Five-Parton Scattering, inLoops and Legs in Quantum Field Theory, 6, 2024.arXiv:2406.18374

    work page Pith review arXiv 2024

  7. [6]

    De Laurentis, H

    G. De Laurentis, H. Ita, M. Klinkert, and V. Sotnikov,Double-virtual NNLO QCD corrections for five-parton scattering. I. The gluon channel, Phys. Rev. D109 (2024), no. 9 094023, [arXiv:2311.10086]

    arXiv 2024

  8. [7]

    De Laurentis, H

    G. De Laurentis, H. Ita, and V. Sotnikov,Double-virtual NNLO QCD corrections for five-parton scattering. II. The quark channels, Phys. Rev. D109 (2024), no. 9 094024, [arXiv:2311.18752]. 13 Regge poles and cuts and the Lipatov vertex Einan Gardi

    arXiv 2024

Show all 53 references
  1. [8]

    Caron-Huot,When does the gluon reggeize?,JHEP 05 (2015) 093, [arXiv:1309.6521]

    S. Caron-Huot,When does the gluon reggeize?,JHEP 05 (2015) 093, [arXiv:1309.6521]

    2015 arXiv

  2. [9]

    Caron-Huot, E

    S. Caron-Huot, E. Gardi, and L. Vernazza,Two-parton scattering in the high-energy limit, JHEP 06 (2017) 016, [arXiv:1701.05241]

    2017 arXiv

  3. [10]

    Caron-Huot, E

    S. Caron-Huot, E. Gardi, J. Reichel, and L. Vernazza,Infrared singularities of QCD scattering amplitudes in the Regge limit to all orders, JHEP 03(2018) 098, [arXiv:1711.04850]

    2018 arXiv

  4. [11]

    Gardi, S

    E. Gardi, S. Caron-Huot, J. Reichel, and L. Vernazza,The High-Energy Limit of 2-to-2 Partonic Scattering Amplitudes,PoS RADCOR2019(2019) 050, [arXiv:1912.10883]

    2019 arXiv

  5. [12]

    Caron-Huot, E

    S. Caron-Huot, E. Gardi, J. Reichel, and L. Vernazza,Two-parton scattering amplitudes in the Regge limit to high loop orders, JHEP 08(2020) 116, [arXiv:2006.01267]

    2020 arXiv

  6. [13]

    Falcioni, E

    G. Falcioni, E. Gardi, C. Milloy, and L. Vernazza,Climbing three-Reggeon ladders: four-loop amplitudes in the high-energy limit in full colour, Phys. Rev. D103 (2021) L111501, [arXiv:2012.00613]

    2021 arXiv

  7. [14]

    Falcioni, E

    G. Falcioni, E. Gardi, N. Maher, C. Milloy, and L. Vernazza,Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops, JHEP 03(2022) 053, [arXiv:2111.10664]

    2022 arXiv

  8. [15]

    Falcioni, E

    G. Falcioni, E. Gardi, N. Maher, C. Milloy, and L. Vernazza,Disentangling the Regge Cut and Regge Pole in Perturbative QCD,Phys. Rev. Lett.128 (2022), no. 13 132001, [arXiv:2112.11098]

    2022 arXiv

  9. [16]

    Bartels, L

    J. Bartels, L. N. Lipatov, and A. Sabio Vera,N=4 supersymmetric Yang Mills scattering amplitudes at high energies: The Regge cut contribution,Eur. Phys. J. C65(2010) 587–605, [arXiv:0807.0894]

    2010 arXiv

  10. [17]

    Bartels, L

    J. Bartels, L. N. Lipatov, and A. Sabio Vera,BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes,Phys. Rev. D80(2009) 045002, [arXiv:0802.2065]

    2009 arXiv

  11. [18]

    Z. Bern, L. J. Dixon, and V. A. Smirnov,Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond, Phys. Rev. D72(2005) 085001, [hep-th/0505205]

    2005 arXiv

  12. [19]

    Del Duca, S

    V. Del Duca, S. Druc, J. Drummond, C. Duhr, F. Dulat, R. Marzucca, G. Papathanasiou, and B. Verbeek,All-order amplitudes at any multiplicity in the multi-Regge limit,Phys. Rev. Lett. 124 (2020), no. 16 161602, [arXiv:1912.00188]

    2020 arXiv

  13. [20]

    P. D. B. Collins,An Introduction to Regge Theory and High-Energy Physics. Cambridge Monographs on Mathematical Physics. Cambridge Univ. Press, Cambridge, UK, 2009

    2009

  14. [21]

    C. D. White,Aspects of High Energy Scattering, SciPost Phys. Lect. Notes13 (2020) 1, [arXiv:1909.05177]. 14 Regge poles and cuts and the Lipatov vertex Einan Gardi

    2020 arXiv

  15. [22]

    Lipatov,Reggeization of the Vector Meson and the Vacuum Singularity in Nonabelian Gauge Theories,Sov

    L. Lipatov,Reggeization of the Vector Meson and the Vacuum Singularity in Nonabelian Gauge Theories,Sov. J. Nucl. Phys.23(1976) 338–345

    1976

  16. [23]

    V.DelDuca, C.Duhr, E.Gardi, L.Magnea, andC.D.White, TheInfraredstructureofgauge theory amplitudes in the high-energy limit,JHEP 12(2011) 021, [arXiv:1109.3581]

    2011 arXiv

  17. [24]

    V. S. Fadin, E. A. Kuraev, and L. N. Lipatov,On the Pomeranchuk Singularity in Asymptotically Free Theories, Phys. Lett. B60 (1975) 50–52

    1975

  18. [25]

    E. A. Kuraev, L. N. Lipatov, and V. S. Fadin,The Pomeranchuk Singularity in Nonabelian Gauge Theories,Sov. Phys. JETP45(1977) 199–204. [Zh. Eksp. Teor. Fiz.72,377(1977)]

    1977

  19. [26]

    E. A. Kuraev, L. N. Lipatov, and V. S. Fadin,Multi - Reggeon Processes in the Yang-Mills Theory,Sov. Phys. JETP44(1976) 443–450

    1976

  20. [27]

    I. I. Balitsky and L. N. Lipatov,The Pomeranchuk Singularity in Quantum Chromodynamics, Sov. J. Nucl. Phys.28(1978) 822–829. [Yad. Fiz.28,1597(1978)]

    1978

  21. [28]

    V. S. Fadin, M. Kotsky, and R. Fiore,Gluon Reggeization in QCD in the next-to-leading order,Phys. Lett. B359 (1995) 181–188

    1995

  22. [29]

    V. S. Fadin, R. Fiore, and A. Quartarolo,Reggeization of quark quark scattering amplitude in QCD, Phys. Rev. D53(1996) 2729–2741, [hep-ph/9506432]

    1996 arXiv

  23. [30]

    Fadin, M

    V. Fadin, M. Kozlov, and A. Reznichenko,Gluon Reggeization in Yang-Mills Theories,Phys. Rev. D92(2015), no. 8 085044, [arXiv:1507.00823]

    2015 arXiv

  24. [31]

    Del Duca and E

    V. Del Duca and E. Glover,The High-energy limit of QCD at two loops, JHEP 10(2001) 035, [hep-ph/0109028]

    2001 arXiv

  25. [32]

    Del Duca, G

    V. Del Duca, G. Falcioni, L. Magnea, and L. Vernazza,Beyond Reggeization for two- and three-loop QCD amplitudes, PoS RADCOR2013(2013) 046, [arXiv:1312.5098]

    2013 arXiv

  26. [33]

    Del Duca, G

    V. Del Duca, G. Falcioni, L. Magnea, and L. Vernazza,High-energy QCD amplitudes at two loops and beyond,Phys. Lett. B732 (2014) 233–240, [arXiv:1311.0304]

    2014 arXiv

  27. [34]

    Del Duca, G

    V. Del Duca, G. Falcioni, L. Magnea, and L. Vernazza,Analyzing high-energy factorization beyond next-to-leading logarithmic accuracy, JHEP 02(2015) 029, [arXiv:1409.8330]

    2015 arXiv

  28. [35]

    Fadin and L

    V. Fadin and L. Lipatov,Reggeon cuts in QCD amplitudes with negative signature,Eur. Phys. J. C78 (2018), no. 6 439, [arXiv:1712.09805]

    2018 arXiv

  29. [36]

    Fadin,Colour structure of three-reggeon cuts in QCD, PoS ICPPCRubakov2023(2024) 037

    V. Fadin,Colour structure of three-reggeon cuts in QCD, PoS ICPPCRubakov2023(2024) 037

    2024

  30. [37]

    V. S. Fadin,Regge Cuts in QCD, Phys. Part. Nucl. Lett.20 (2023), no. 3 341–346

    2023

  31. [38]

    Balitsky,Operator expansion for high-energy scattering,Nucl

    I. Balitsky,Operator expansion for high-energy scattering,Nucl. Phys.B463(1996) 99–160, [hep-ph/9509348]. 15 Regge poles and cuts and the Lipatov vertex Einan Gardi

    1996 arXiv

  32. [40]

    Jalilian-Marian, A

    J. Jalilian-Marian, A. Kovner, L. D. McLerran, and H. Weigert,The Intrinsic glue distribution at very small x, Phys. Rev.D55 (1997) 5414–5428, [hep-ph/9606337]

    1997 arXiv

  33. [41]

    Jalilian-Marian, A

    J. Jalilian-Marian, A. Kovner, A. Leonidov, and H. Weigert,The Wilson renormalization group for low x physics: Towards the high density regime,Phys. Rev.D59 (1998) 014014, [hep-ph/9706377]

    1998 arXiv

  34. [42]

    I. Z. Rothstein and I. W. Stewart,An Effective Field Theory for Forward Scattering and Factorization Violation,JHEP 08(2016) 025, [arXiv:1601.04695]

    2016 arXiv

  35. [43]

    Moult, S

    I. Moult, S. Raman, G. Ridgway, and I. W. Stewart,Anomalous dimensions from soft Regge constants,JHEP 05 (2023) 025, [arXiv:2207.02859]

    2023 arXiv

  36. [44]

    A. Gao, I. Moult, S. Raman, G. Ridgway, and I. W. Stewart,A collinear perspective on the Regge limit,JHEP 05(2024) 328, [arXiv:2401.00931]

    2024 arXiv

  37. [45]

    I. A. Korchemskaya and G. P. Korchemsky,High-energy scattering in QCD and cross singularities of Wilson loops,Nucl. Phys.B437(1995) 127–162, [hep-ph/9409446]

    1995 arXiv

  38. [46]

    I. A. Korchemskaya and G. P. Korchemsky,Evolution equation for gluon Regge trajectory, Phys. Lett.B387(1996) 346–354, [hep-ph/9607229]

    1996 arXiv

  39. [47]

    Fadin, R

    V. Fadin, R. Fiore, M. Kozlov, and A. Reznichenko,Proof of the multi-Regge form of QCD amplitudes with gluon exchanges in the NLA, Phys. Lett. B639 (2006) 74–81, [hep-ph/0602006]

    2006 arXiv

  40. [48]

    V. S. Fadin and L. N. Lipatov,Radiative corrections to QCD scattering amplitudes in a multi - Regge kinematics,Nucl. Phys. B406(1993) 259–292

    1993

  41. [49]

    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. B389 (1996) 737–741, [hep-ph/9608229]

    1996 arXiv

  42. [50]

    Del Duca and C

    V. Del Duca and C. R. Schmidt,Virtual next-to-leading corrections to the Lipatov vertex, Phys. Rev. D59 (1999) 074004, [hep-ph/9810215]

    1999 arXiv

  43. [51]

    Del Duca, C

    V. Del Duca, C. Duhr, and E. W. Nigel Glover,The Five-gluon amplitude in the high-energy limit, JHEP 12(2009) 023, [arXiv:0905.0100]

    2009 arXiv

  44. [52]

    V. S. Fadin, M. Fucilla, and A. Papa,One-loop Lipatov vertex in QCD with higher 𝜖-accuracy, arXiv:2302.09868

    arXiv

  45. [54]

    Caron-Huot, D

    S. Caron-Huot, D. Chicherin, J. Henn, Y. Zhang, and S. Zoia,Multi-Regge Limit of the Two-Loop Five-Point Amplitudes inN = 4Super Yang-Mills andN = 8 Supergravity, JHEP 10 (2020) 188, [arXiv:2003.03120]. 17

    2020 arXiv

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