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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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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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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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All Two-Loop Feynman Integrals for Five-Point One-Mass Scattering
/ Abreu, Samuel (CERN ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Chicherin, Dmitry (Annecy, LAPTH) ; Ita, Harald (PSI, Villigen ; Zurich U.) ; Page, Ben (CERN) ; Sotnikov, Vasily (Zurich U. ; Michigan State U.) ; Tschernow, Wladimir (Freiburg U.) ; Zoia, Simone (INFN, Turin)
We compute the complete set of two-loop master integrals for the scattering of four massless particles and a massive one. Our results are ready for phenomenological applications, removing a major obstacle to the computation of complete next-to-next-to-leading order (NNLO) QCD corrections to processes such as the production of a $H/Z/W$ boson in association with two jets at the LHC. [...]
arXiv:2306.15431.-
2024-04-01 - 7 p.
- Published in : Phys. Rev. Lett. 132 (2024) 141601
Fulltext: 2306.15431 - PDF; Publication - PDF;
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Four-loop two-mass tadpoles and the $\rho$ parameter
/ Abreu, Samuel (CERN ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Behring, Arnd (CERN) ; McLeod, Andrew J. (CERN ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Page, Ben (CERN ; Gent U.)
We calculate four-loop QCD corrections to the electroweak $\rho$ parameter with a non-vanishing $b$ quark mass. At three loops, it was observed that elliptic integrals contribute to this observable. [...]
arXiv:2407.21700; CERN-TH-2024-129.-
2024-09-17 - 12 p.
- Published in : PoS: LL2024 (2024) , pp. 008
Fulltext: 2407.21700 - PDF; document - PDF;
In : 17th Loops and Legs in Quantum Field Theory (LL 2024), Wittenberg, Germany, 14 - 19 Apr 2024, pp.008
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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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