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The Soft Anomalous Dimension at four loops in the Regge Limit
/ Maher, Niamh (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Falcioni, Giulio (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Milloy, Calum (INFN, Turin ; Turin U.) ; Vernazza, Leonardo (INFN, Turin ; CERN ; Turin U.)
The soft anomalous dimension governs the infrared divergences of scattering amplitudes in general kinematics to all orders in perturbation theory. By comparing the recent Regge-limit results for $2\to2$ scattering (through Next-to-Next-to-Leading Logarithms) in full colour to a general form for the soft anomalous dimension at four loops we derive powerful constraints on its kinematic dependence, opening the way for a bootstrap-based determination..
arXiv:2111.01517.-
2022-06-20 - 14 p.
- Published in : SciPost Phys. Proc.: 7 (2022) , pp. 013
Fulltext: document - PDF; 2111.01517 - PDF;
In : 15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology AND LoopFest XIX: Workshop on Radiative Corrections for the LHC and Future Colliders (Radcor and LoopFest 2021), Tallahassee, FL, United States, 16 - 21 May 2021, pp.013
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Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
/ Falcioni, Giulio (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Maher, Niamh (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Milloy, Calum (INFN, Turin ; Turin U.) ; Vernazza, Leonardo (INFN, Turin ; Turin U. ; CERN)
Using rapidity evolution equations we study two-to-two gauge-theory scattering amplitudes in the Regge limit. We carry out explicit computations at next-to-next-to-leading logarithmic accuracy through four loops and present new results for both infrared-singular and finite contributions to the amplitude. [...]
arXiv:2111.10664; CERN-TH-2021-200.-
2022-03-08 - 134 p.
- Published in : JHEP 2203 (2022) 053
Fulltext: 2111.10664 - PDF; document - PDF;
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Two-parton scattering in the high-energy limit: climbing two- and three-Reggeon ladders
/ Falcioni, Giulio (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Maher, Niamh (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Milloy, Calum (Turin U. ; INFN, Turin) ; Vernazza, Leonardo (Turin U. ; INFN, Turin ; CERN)
We 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. [...]
arXiv:2111.05166.-
2022-06-20 - 22 p.
- Published in : SciPost Phys. Proc. 7 (2022) 007
Fulltext: document - PDF; 2111.05166 - PDF;
In : 15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology AND LoopFest XIX: Workshop on Radiative Corrections for the LHC and Future Colliders (Radcor and LoopFest 2021), Tallahassee, FL, United States, 16 - 21 May 2021
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High-energy limit of 2->2 scattering amplitudes at NNLL
/ Milloy, Calum (Turin U. ; INFN, Turin) ; Falcioni, Giulio (Edinburgh U. ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Gardi, Einan (Edinburgh U. ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Maher, Niamh (Edinburgh U. ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Vernazza, Leonardo (Turin U. ; INFN, Turin ; CERN)
The high-energy limit of $2\to 2$ scattering amplitudes offers an excellent setting to explore the universal features of gauge theories. At Leading Logarithmic (LL) accuracy the partonic amplitude is governed by Regge poles in the complex angular momentum plane. [...]
arXiv:2207.07441.-
2022-10-20 - 11 p.
- Published in : PoS LL2022 (2022) 044
Fulltext: 2207.07441 - PDF; Publication - PDF;
In : 16th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory 2022, Ettal, Germany, 25 - 30 Apr 2022, pp.044
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Disentangling the Regge cut and Regge pole in perturbative QCD
/ Falcioni, Giulio (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Maher, Niamh (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Milloy, Calum (INFN, Turin ; Turin U.) ; Vernazza, Leonardo (INFN, Turin ; Turin U. ; CERN)
The high-energy limit of gauge-theory amplitudes features both a Regge pole and Regge cuts. We show how to disentangle these, and hence how to determine the Regge trajectory beyond two loops. [...]
arXiv:2112.11098; CERN-TH-2021-225.-
2022-03-30 - 7 p.
- Published in : Phys. Rev. Lett. 128 (2022) 132001
Fulltext: PhysRevLett.128.132001 - PDF; 2112.11098 - PDF;
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Bootstrapping the QCD soft anomalous dimension
/ Almelid, Øyvind (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Gardi, Einan (Edinburgh U. ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; McLeod, Andrew (Santa Barbara, KITP ; SLAC) ; White, Chris D. (Queen Mary, U. of London)
The soft anomalous dimension governs the infrared singularities of scattering amplitudes to all orders in perturbative quantum field theory, and is a crucial ingredient in both formal and phenomenological applications of non-abelian gauge theories. It has recently been computed at three-loop order for massless partons by explicit evaluation of all relevant Feynman diagrams. [...]
arXiv:1706.10162; EDINBURGH-2017-13; CERN-TH-2017-138; CP3-17-20; SLAC-PUB-17089; QMUL-PH-17-10.-
2017-09-18 - 37 p.
- Published in : JHEP 09 (2017) 073
Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
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Two-loop form factors for pseudo-scalar quarkonium production and decay
/ Abreu, Samuel (CERN ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Becchetti, Matteo (INFN, Turin) ; Duhr, Claude (U. Bonn, Phys. Inst., BCTP) ; Ozcelik, Melih A. (IJCLab, Orsay ; Karlsruhe U., TTP)
We present the analytic expressions for the two-loop form factors for the production or decay of pseudo-scalar quarkonia, in a scheme where the quarks are produced at threshold. We consider the two-loop amplitude for the process $\gamma \gamma \leftrightarrow {^1S_0^{[1]}}$, that was previously known only numerically, as well as for the processes $gg \leftrightarrow {^1S_0^{[1]}}$, $\gamma g \leftrightarrow {^1S_0^{[8]}}$ and $gg \leftrightarrow {^1S_0^{[8]}}$, which have not been computed before. [...]
arXiv:2211.08838; BONN-TH-2022-23; CERN-TH-2022-187; TTP22-068.-
2023-02-27 - 37 p.
- Published in : JHEP 2302 (2023) 250
Fulltext: document - PDF; 2211.08838 - PDF;
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