002790151 001__ 2790151
002790151 005__ 20230810120721.0
002790151 0248_ $$aoai:cds.cern.ch:2790151$$pcerncds:FULLTEXT$$pcerncds:CERN:FULLTEXT$$pcerncds:CERN
002790151 0247_ $$2DOI$$9SciPost Fundation$$a10.21468/SciPostPhysProc.7.007
002790151 037__ $$9arXiv$$aarXiv:2111.05166$$chep-ph
002790151 035__ $$9arXiv$$aoai:arXiv.org:2111.05166
002790151 035__ $$9Inspire$$aoai:inspirehep.net:1964740$$d2023-01-30T12:29:50Z$$h2023-01-31T03:00:11Z$$mmarcxml$$ttrue$$uhttps://inspirehep.net/api/oai2d
002790151 035__ $$9Inspire$$a1964740
002790151 041__ $$aeng
002790151 100__ $$aFalcioni, Giulio$$uU. Edinburgh, Higgs Ctr. Theor. Phys.$$vUniversity of Edinburgh
002790151 245__ $$9SciPost Fundation$$aTwo-parton scattering in the high-energy limit: climbing two- and three-Reggeon ladders
002790151 269__ $$c2021-11-09
002790151 260__ $$c2022-06-20
002790151 300__ $$a22 p
002790151 500__ $$9arXiv$$a22 pages, 4 figures; Proceedings for the 15th International Symposium
on Radiative Corrections: Applications of Quantum Field Theory to
Phenomenology, FSU, Tallahasse, FL, USA, 17-21 May 2021
002790151 520__ $$9SciPost Fundation$$aWe review recent progress on the calculation of scattering amplitudes in the high-energy limit. We start by illustrating the shockwave formalism, which allows one to calculate amplitudes as iterated solutions of rapidity evolution equations. We then focus on our recent results regarding 2 -> 2 parton scattering. We present the calculation of the imaginary part of the amplitude, at next-to-leading logarithmic accuracy in the high-energy logarithms, formally to all orders, and in practice to 13 loops. We then discuss the computation of the real part of the amplitude at next-to-next-to-leading logarithmic accuracy and through four loops. Both computations are carried in full colour, and provide new insight into the analytic structure of scattering amplitudes and their infrared singularity structure.
002790151 520__ $$9arXiv$$aWe review recent progress on the calculation of scattering amplitudes in the high-energy limit. We start by illustrating the shockwave formalism, which allows one to calculate amplitudes as iterated solutions of rapidity evolution equations. We then focus on our recent results regarding $2\to 2$ parton scattering. We present the calculation of the imaginary part of the amplitude, at next-to-leading logarithmic accuracy in the high-energy logarithms, formally to all orders, and in practice to 13 loops. We then discuss the computation of the real part of the amplitude at next-to-next-to-leading logarithmic accuracy and through four loops. Both computations are carried in full colour, and provide new insight into the analytic structure of scattering amplitudes and their infrared singularity structure.
002790151 540__ $$3preprint$$aarXiv nonexclusive-distrib 1.0$$uhttp://arxiv.org/licenses/nonexclusive-distrib/1.0/
002790151 540__ $$3publication$$aCC-BY-4.0$$bSciPost Fundation$$fCollective$$uhttp:https://creativecommons.org/licenses/by/4.0/
002790151 542__ $$3publication$$dL. Vernazza et al.$$g2022
002790151 65017 $$2arXiv$$ahep-ph
002790151 65017 $$2SzGeCERN$$aParticle Physics - Phenomenology
002790151 690C_ $$aCERN
002790151 690C_ $$aARTICLE
002790151 700__ $$aGardi, Einan$$uU. Edinburgh, Higgs Ctr. Theor. Phys.$$vUniversity of Edinburgh
002790151 700__ $$aMaher, Niamh$$uU. Edinburgh, Higgs Ctr. Theor. Phys.$$vUniversity of Edinburgh
002790151 700__ $$aMilloy, Calum$$uINFN, Turin$$uTurin U.$$vUniversità degli Studi di Torino / University of Turin [UNITO]
002790151 700__ $$aVernazza, [email protected]$$uTurin U.$$uINFN, Turin$$uCERN$$vUniversità degli Studi di Torino / University of Turin [UNITO]$$vOrganisation européenne pour la recherche nucléaire / European Organization for Nuclear Research [CERN]
002790151 773__ $$c007$$pSciPost Phys. Proc.$$v7$$wC21-05-16$$y2022
002790151 8564_ $$82333080$$s40513$$uhttps://cds.cern.ch/record/2790151/files/Radius1.png$$y00003 Partial sums of the amplitude coefficients $\Xi_{\rm NLL}^{(+,\ell)}$, up to 13th order, for the singlet (left plot) and the 27 colour representation (right plot). The horizontal axis $x$ represents $\frac{\alpha_s}{\pi}L$. The dashed vertical line represents the radius of convergence, $R$, determined by the pole closest to $x = 0$, using Pad\'{e} approximants.
002790151 8564_ $$82333081$$s15478$$uhttps://cds.cern.ch/record/2790151/files/one_to_three_to_one.png$$y00009 Representation of transitions involving Multi-Reggeon States (MRS), which contribute to the odd-signature amplitude at four loops.
002790151 8564_ $$82333082$$s15269$$uhttps://cds.cern.ch/record/2790151/files/three_reggeon_double_ladder.png$$y00005 Representation of transitions involving Multi-Reggeon States (MRS), which contribute to the odd-signature amplitude at four loops.
002790151 8564_ $$82333083$$s9317$$uhttps://cds.cern.ch/record/2790151/files/Regge-fact.png$$y00001 Schematic relation between logarithmic counting and Reggeon exchanges for two-parton amplitudes in the high-energy limit. The grey blobs represent impact factors, while the red ones are corrections to the Regge trajectory.
002790151 8564_ $$82333084$$s31677$$uhttps://cds.cern.ch/record/2790151/files/Radius27.png$$y00004 Partial sums of the amplitude coefficients $\Xi_{\rm NLL}^{(+,\ell)}$, up to 13th order, for the singlet (left plot) and the 27 colour representation (right plot). The horizontal axis $x$ represents $\frac{\alpha_s}{\pi}L$. The dashed vertical line represents the radius of convergence, $R$, determined by the pole closest to $x = 0$, using Pad\'{e} approximants.
002790151 8564_ $$82333085$$s19369$$uhttps://cds.cern.ch/record/2790151/files/bfklwfamp.png$$y00002 Representation of the two Reggeon amplitude and the corresponding BFKL wavefunction. A single application of the BFKL Hamiltonian adds a rung in the ladder. The amplitude at $\ell$ loops, ${\cal M}^{(\ell)}(p)$, is obtained by integrating over the wavefunction $\Omega^{(\ell-1)}(p,k)$, which itself consists of $\ell-1$ rungs.
002790151 8564_ $$82333086$$s690597$$uhttps://cds.cern.ch/record/2790151/files/RADCOR_LoopFest_2021_web.png$$y00000 (+)
002790151 8564_ $$82333087$$s15028$$uhttps://cds.cern.ch/record/2790151/files/one_to_three_colour_1.png$$y00007 Representation of transitions involving Multi-Reggeon States (MRS), which contribute to the odd-signature amplitude at four loops.
002790151 8564_ $$82333088$$s15435$$uhttps://cds.cern.ch/record/2790151/files/one_to_three_colour_2.png$$y00008 Representation of transitions involving Multi-Reggeon States (MRS), which contribute to the odd-signature amplitude at four loops.
002790151 8564_ $$82333089$$s15284$$uhttps://cds.cern.ch/record/2790151/files/three_reggeon_mixed.png$$y00006 Representation of transitions involving Multi-Reggeon States (MRS), which contribute to the odd-signature amplitude at four loops.
002790151 8564_ $$82333090$$s1961058$$uhttps://cds.cern.ch/record/2790151/files/2111.05166.pdf$$yFulltext
002790151 8564_ $$82374219$$s1837220$$uhttps://cds.cern.ch/record/2790151/files/document.pdf$$yFulltext
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002790151 980__ $$aConferencePaper
002790151 980__ $$aARTICLE