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Recent Developments from Feynman Integrals
/ Marzucca, Robin (Zurich U.) ; McLeod, Andrew J (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Page, Ben (CERN ; Gent U.) ; Pögel, Sebastian (U. Mainz, PRISMA) ; Wang, Xing (Munich, Tech. U.) ; Weinzierl, Stefan (U. Mainz, PRISMA)
This talk reviews recent developments in the field of analytical Feynman integral calculations. The central theme is the geometry associated to a given Feynman integral. [...]
arXiv:2401.06360.-
2024 - 11 p.
- Published in : Acta Phys. Pol. B Proc. Suppl. 17 (2024) 2-A11
Fulltext: 2401.06360 - PDF; document - PDF;
In : 45th International Conference of Theoretical Physics: Matter To The Deepest Recent Developments In Physics Of Fundamental Interactions (MTTD 2023), Ustroń, Poland, 17 - 22 Sep 2023
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2.
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3.
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Functions Beyond Multiple Polylogarithms for Precision Collider Physics
/ Bourjaily, Jacob L. (Penn State U., University Park, IGC ; Bohr Inst.) ; Broedel, Johannes (Zurich, ETH) ; Chaubey, Ekta (Turin U. ; INFN, Turin) ; Duhr, Claude (Bonn U.) ; Frellesvig, Hjalte (Bohr Inst.) ; Hidding, Martijn (Uppsala U.) ; Marzucca, Robin (Bohr Inst.) ; McLeod, Andrew J. (CERN ; UCLA) ; Spradlin, Marcus (Brown U.) ; Tancredi, Lorenzo (Munich, Tech. U.) et al.
Feynman diagrams constitute one of the essential ingredients for making precision predictions for collider experiments. [...]
arXiv:2203.07088 ; BONN-TH-2022-05 ; UUITP-11/22 ; CERN-TH-2022-029 ; TUM-HEP-1391/22,
HU-EP-22/08 ; MITP-22-022.
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56 p.
eConf - Fulltext
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5.
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An analytic solution for the equal-mass banana graph
/ Broedel, Johannes (Humboldt U., Berlin) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Dulat, Falko (SLAC) ; Marzucca, Robin (Louvain U., CP3) ; Penante, Brenda (CERN) ; Tancredi, Lorenzo (CERN)
We present fully analytic results for all master integrals for the three-loop banana graph with four equal and non-zero masses. The results are remarkably simple and all integrals are expressed as linear combinations of iterated integrals of modular forms of uniform weight for the same congruence subgroup as for the two-loop equal-mass sunrise graph. [...]
arXiv:1907.03787; CP3-19-34; CERN-TH-2019-105; HU-Mathematik-2019-04; HU-EP-19/20, SLAC-PUB-17453; HU-EP-19/20,
SLAC-PUB-17453.-
2019-09-16 - 36 p.
- Published in : JHEP 1909 (2019) 112
Article from SCOAP3: PDF; Fulltext: PDF;
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6.
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Amplitudes in the Multi-Regge Limit of $\mathcal{N}$=4 SYM
/ Del Duca, Vittorio (Zurich, ETH) ; Druc, Stefan (Southampton U.) ; Drummond, James (Southampton U.) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Dulat, Falko (SLAC) ; Marzucca, Robin (Louvain U., CP3) ; Papathanasiou, Georgios (DESY) ; Verbeek, Bram (Louvain U., CP3)
A novel way of computing high-order amplitudes in the multi-Regge limit of planar maximally supersymmetric Yang-Mills theory is presented. In this framework, we are able to obtain high-loop and high-leg results by an easy operation on known amplitudes with fewer loops and lower multiplicity. [...]
arXiv:1811.10588; CERN-TH-2018-252; CP3-18-64; DESY-18-190.-
2019 - 6 p.
- Published in : Acta Phys.Polon.Supp. 12 (2019) 961
Fulltext: PDF;
In : Diffraction and Low-x 2018, Reggio Calabria, Italy, 26 Aug - 1 Sep 2018, pp.961
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7.
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Multi-Loop Amplitudes in the High-Energy Limit in N=4 SYM
/ Del Duca, Vittorio (ETH, Zurich (main)) ; Druc, Stefan (Southampton U.) ; Drummond, James (Southampton U.) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Dulat, Falko (SLAC) ; Marzucca, Robin (Louvain U., CP3) ; Papathanasiou, Georgios (DESY) ; Verbeek, Bram (Louvain U., CP3)
We introduce a novel way to perform high-order computations in multi-Regge-kinematics in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory and generalize the existing factorization into building blocks at two loops to all loop orders. Afterwards, we will explain how this framework can be used to easily obtain higher-loop amplitudes from existing amplitudes and how to relate them to amplitudes with higher number of legs..
arXiv:1807.07751; CERN-TH-2018-164; CP3-18-47; DESY-18-126; SLAC-PUB-17305.-
SISSA, 2018-07-23 - 9 p.
- Published in : PoS LL2018 (2018) 026
Fulltext: PoS(LL2018)026 - PDF; 1807.07751 - PDF; arXiv:1807.07751 - PDF; External link: PoS server
In : 14th DESY Workshop on Elementary Particle Physics : Loops and Legs in Quantum Field Theory 2018, St Goar, Germany, 29 Apr - 04 May 2018, pp.026
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8.
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The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
/ Del Duca, Vittorio (Zurich, ETH) ; Druc, Stefan (Southampton U.) ; Drummond, James (Southampton U.) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Dulat, Falko (SLAC) ; Marzucca, Robin (Louvain U., CP3) ; Papathanasiou, Georgios (DESY) ; Verbeek, Bram (Louvain U., CP3)
We present an all-loop dispersion integral, well-defined to arbitrary logarithmic accuracy, describing the multi-Regge limit of the 2->5 amplitude in planar N=4 super Yang-Mills theory. It follows from factorization, dual conformal symmetry and consistency with soft limits, and specifically holds in the region where the energies of all produced particles have been analytically continued. [...]
arXiv:1801.10605; DESY-18-009; CERN-TH-2018-016; CP3-18-06; SLAC-PUB-17220.-
2018-06-21 - 56 p.
- Published in : JHEP 06 (2018) 116
Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
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9.
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10.
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Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
/ Del Duca, Vittorio (Zurich, ETH) ; Druc, Stefan (Southampton U.) ; Drummond, James (Southampton U.) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Dulat, Falko (SLAC) ; Marzucca, Robin (Louvain U., CP3) ; Papathanasiou, Georgios (SLAC) ; Verbeek, Bram (Louvain U., CP3)
We show that scattering amplitudes in planar N = 4 Super Yang-Mills in multi-Regge kinematics can naturally be expressed in terms of single-valued iterated integrals on the moduli space of Riemann spheres with marked points. As a consequence, scattering amplitudes in this limit can be expressed as convolutions that can easily be computed using Stokes' theorem. [...]
arXiv:1606.08807; CP3-16-32; CERN-TH-2016-143; SLAC-PUB-16659.-
2016-08-25 - 104 p.
- Published in : JHEP 08 (2016) 152
Springer Open Access article: PDF; Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
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