1.
|
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;
|
|
2.
|
Elliptic Feynman integrals and pure functions
/ Broedel, Johannes (Humboldt U., Berlin) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Dulat, Falko (SLAC) ; Penante, Brenda (CERN) ; Tancredi, Lorenzo (CERN)
We propose a variant of elliptic multiple polylogarithms that have at most logarithmic singularities in all variables and satisfy a differential equation without homogeneous term. We investigate several non-trivial elliptic two-loop Feynman integrals with up to three external legs and express them in terms of our functions. [...]
arXiv:1809.10698; CP3-18-58; CERN-TH-2018-211; HU-Mathematik-2018-09; HU-EP-18/29; SLAC-PUB-17336.-
2019-01-03 - 47 p.
- Published in : JHEP 1901 (2019) 023
Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
|
|
3.
|
|
4.
|
Elliptic polylogarithms and Feynman parameter integrals
/ Broedel, Johannes (Humboldt U., Berlin, Inst. Math.) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Dulat, Falko (SLAC) ; Penante, Brenda (CERN) ; Tancredi, Lorenzo (CERN)
In this paper we study the calculation of multiloop Feynman integrals that cannot be expressed in terms of multiple polylogarithms. We show in detail how certain types of two- and three-point functions at two loops, which appear in the calculation of higher order corrections in QED, QCD and in the electroweak theory (EW), can naturally be expressed in terms of a recently introduced elliptic generalisation of multiple polylogarithms by direct integration over their Feynman parameter representation. [...]
arXiv:1902.09971; CP3-19-07; CERN-TH-2019-016; HU-Mathematik-2019-01; HU-EP-19/03, SLAC-PUB-17406; HU-EP-19/03,
SLAC-PUB-17406.-
2019-05-21 - 37 p.
- Published in : JHEP 05 (2019) 120
Article from SCOAP3: PDF; Fulltext: PDF;
|
|
5.
|
PolyLogTools - Polylogs for the masses
/ Duhr, Claude (CERN ; Louvain U., CP3) ; Dulat, Falko (SLAC)
We review recent developments in the study of multiple polylogarithms, including the Hopf algebra of the multiple polylogarithms and the symbol map, as well as the construction of single valued multiple polylogarithms and discuss an algorithm for finding fibration bases. We document how these algorithms are implemented in the Mathematica package PolyLogTools and show how it can be used to study the coproduct structure of polylogarithmic expressions and how to compute iterated parametric integrals over polylogarithmic expressions that show up in Feynman integal computations at low loop orders..
arXiv:1904.07279; CP3-19-17; CERN-TH-2019-045; SLAC-PUB-17423.-
2019-08-23 - 55 p.
- Published in : JHEP 1908 (2019) 135
Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
|
|
6.
|
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;
|
|
7.
|
Probing the scalar potential via double Higgs boson production at hadron colliders
/ Borowka, Sophia (CERN) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Maltoni, Fabio (Louvain U., CP3 ; INFN, Bologna ; U. Bologna, DIFA) ; Pagani, Davide (Munich, Tech. U.) ; Shivaji, Ambresh (Louvain U., CP3) ; Zhao, Xiaoran (Louvain U., CP3)
We present a sensitivity study on the cubic and quartic self couplings in double Higgs production via gluon fusion at hadron colliders. Considering the relevant operators in the Standard Model Effective Field Theory up to dimension eight, we calculate the dominant contributions up to two-loop level, where the first dependence on the quartic interaction appears. [...]
arXiv:1811.12366; TUM-HEP-1176/18; CP3-18-69; CERN-TH-2018-258; MCnet-18-31.-
2019-04-02 - 35 p.
- Published in : JHEP 04 (2019) 016
Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
|
|
8.
|
Elliptic polylogarithms and iterated integrals on elliptic curves I: general formalism
/ Broedel, Johannes (Humboldt U., Berlin, Inst. Math. ; Humboldt U., Berlin) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Dulat, Falko (SLAC) ; Tancredi, Lorenzo (CERN)
We introduce a class of iterated integrals, defined through a set of linearly independent integration kernels on elliptic curves. As a direct generalisation of multiple polylogarithms, we construct our set of integration kernels ensuring that they have at most simple poles, implying that the iterated integrals have at most logarithmic singularities. [...]
arXiv:1712.07089; CERN-TH-2017-273; CP3-17-57; HU-EP-17-29; HU-Mathematik-2017-09; SLAC-PUB-17194; CERN-TH-2017-273.-
2018-05-15 - 54 p.
- Published in : JHEP 05 (2018) 093
Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
|
|
9.
|
|
10.
|
|