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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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3.
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The Diagrammatic Coaction
/ Gardi, Einan (Edinburgh U.) ; Abreu, Samuel (CERN ; Edinburgh U.) ; Britto, Ruth (Trinity Coll., Dublin) ; Duhr, Claude (Bonn U.) ; Matthew, James (Edinburgh U.)
The diagrammatic coaction underpins the analytic structure of Feynman integrals, their cuts and the differential equations they admit. The coaction maps any diagram into a tensor product of its pinches and cuts. [...]
arXiv:2207.07843; CERN-TH-2022-122; BONN-TH-2022-18.-
2022-10-20 - 19 p.
- Published in : PoS LL2022 (2022) 015
Fulltext: 2207.07843 - PDF; document - PDF;
In : 16th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory 2022, Ettal, Germany, 25 - 30 Apr 2022, pp.015
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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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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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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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The diagrammatic coaction beyond one loop
/ Abreu, Samuel (CERN ; UCLA ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Britto, Ruth (Trinity Coll., Dublin ; Hamilton Math. Inst., Dublin ; IPhT, Saclay) ; Duhr, Claude (CERN) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Matthew, James (U. Edinburgh, Higgs Ctr. Theor. Phys.)
The diagrammatic coaction maps any given Feynman graph into pairs of graphs and cut graphs such that, conjecturally, when these graphs are replaced by the corresponding Feynman integrals one obtains a coaction on the respective functions. The coaction on the functions is constructed by pairing a basis of differential forms, corresponding to master integrals, with a basis of integration contours, corresponding to independent cut integrals. [...]
arXiv:2106.01280.-
2021-10-15 - 65 p.
- Published in : JHEP 2110 (2021) 131
Fulltext: document - PDF; 2106.01280 - PDF;
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Diagrammatic Coaction of Two-Loop Feynman Integrals
/ Abreu, Samuel (Louvain U., CP3) ; Britto, Ruth (Hamilton Math. Inst., Dublin ; Trinity Coll., Dublin ; IPhT, Saclay) ; Duhr, Claude (CERN) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys. ; Edinburgh U., Inst. Astron.) ; Matthew, James (U. Edinburgh, Higgs Ctr. Theor. Phys.)
It is known that one-loop Feynman integrals possess an algebraic structure encoding some of their analytic properties called the coaction, which can be written in terms of Feynman integrals and their cuts. This diagrammatic coaction, and the coaction on other classes of integrals such as hypergeometric functions, may be expressed using suitable bases of differential forms and integration contours. [...]
arXiv:1912.06561; CERN-TH-2019-218; CP3-19-59.-
2019 - 10 p.
- Published in : PoS RADCOR2019 (2019) 065
Fulltext: PoS(RADCOR2019)065 - PDF; 1912.06561 - PDF;
In : 14th International Symposium on Radiative Corrections : Application of Quantum Field Theory to Phenomenology, Avignon, France, 8 - 13 Sep 2019, pp.065
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Generalized hypergeometric functions and intersection theory for Feynman integrals
/ Abreu, Samuel (Louvain U., CP3) ; Britto, Ruth (Hamilton Math. Inst., Dublin ; Trinity Coll., Dublin ; IPhT, Saclay) ; Duhr, Claude (CERN) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Matthew, James (U. Edinburgh, Higgs Ctr. Theor. Phys.)
Feynman integrals that have been evaluated in dimensional regularization can be written in terms of generalized hypergeometric functions. It is well known that properties of these functions are revealed in the framework of intersection theory. [...]
arXiv:1912.03205; CERN-TH-2019-219; CP3-19-58.-
2019 - 10 p.
- Published in : PoS RADCOR2019 (2019) 067
Fulltext: PoS(RADCOR2019)067 - PDF; 1912.03205 - PDF;
In : 14th International Symposium on Radiative Corrections : Application of Quantum Field Theory to Phenomenology, Avignon, France, 8 - 13 Sep 2019, pp.067
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