Algorithm for differential equations for Feynman integrals in general dimensions. (English) Zbl 1541.14014
Reviewer: Vladimir P. Kostov (Nice)
Found 53 Documents (Results 1–53)
Integration-by-parts identities and differential equations for parametrised Feynman integrals. (English) Zbl 07862095
MSC:
81-XX
One loop QCD corrections to \(gg\rightarrow t\bar{t}H\) at \(\mathcal{O}(\epsilon^2)\). (English) Zbl 07862092
MSC:
81-XX
Factorization of covariant Feynman graphs for the effective action. (English) Zbl 07807194
MSC:
81-XX
Threshold resummation for computing large-\(x\) Parton distribution through large-momentum effective theory. (English) Zbl 07748912
MSC:
81-XX
tapir: a tool for topologies, amplitudes, partial fraction decomposition and input for reductions. (English) Zbl 1523.81197
Algorithms for minimal Picard-Fuchs operators of Feynman integrals. (English) Zbl 1509.14020
Reviewer: Vladimir P. Kostov (Nice)
Hepp’s bound for Feynman graphs and matroids. (English) Zbl 1520.81076
Reviewer: Michael Borinsky (Zürich)
MB tools reloaded. (English) Zbl 1518.81050
Kinematic singularities of Feynman integrals and principal \(A\)-determinants. (English) Zbl 1516.81091
DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions. (English) Zbl 1518.65150
Extensions of the AZ-algorithm and the package multiintegrate. (English) Zbl 1490.33010
Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 35-61 (2021).
Reviewer: Shaoshi Chen (Beijing)
MSC:
33F10
An introduction to motivic Feynman integrals. (English) Zbl 1473.81067
Reviewer: Juan Carlos Vasquez (Amherst)
Large scale analytic calculations in quantum field theories. (English) Zbl 07293159
Pillwein, Veronika (ed.) et al., Algorithmic combinatorics: enumerative combinatorics, special functions and computer algebra. Proceedings of the workshop on combinatorics, special functions and computer algebra (Paule60), Research Institute of Symbolic Computation (RISC), Hagenberg, Austria, May 17–18, 2018. In honour of Peter Paule on his 60th birthday. Cham: Springer. Texts Monogr. Symb. Comput., 63-87 (2020).
MSC:
68W30
Feynman integrals and mirror symmetry. (English) Zbl 1454.81150
Gritsenko, Valery (ed.) et al., Partition functions and automorphic forms. Lecture notes based on the presentations at the international scientifc school, Dubna, Russia, January 29 – February 2, 2018. Cham: Springer. Mosc. Lect. 5, 319-367 (2020).
Spherical contours, IR divergences and the geometry of Feynman parameter integrands at one loop. (English) Zbl 1451.81241
Renormalization and periods in perturbative algebraic quantum field theory. (English) Zbl 1444.81025
Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 345-376 (2020).
Some open problems on Feynman periods. (English) Zbl 1444.81032
Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 29-44 (2020).
MSC:
81T18
Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems. (English) Zbl 1436.81049
All orders structure and efficient computation of linearly reducible elliptic Feynman integrals. (English) Zbl 1409.81048
Analytic computing methods for precision calculations in quantum field theory. (English) Zbl 1392.81192
Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation. (English) Zbl 1380.81423
Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral. (English) Zbl 1373.81293
The three-loop splitting functions \(P_{q g}^{(2)}\) and \(P_{g g}^{(2, \operatorname{N}_{\operatorname{F}})}\). (English) Zbl 1373.81370
MPL – a program for computations with iterated integrals on moduli spaces of curves of genus zero. (English) Zbl 1375.81164
The signed permutation group on Feynman graphs. (English) Zbl 1350.81024
Reviewer: Wolfgang G. Hollik (Hamburg)
Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals. (English) Zbl 1344.81024
Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms. (English) Zbl 1323.81097
Picard-Fuchs equations for Feynman integrals. (English) Zbl 1285.81029
MSC:
81Q30
Feynman graphs. (English) Zbl 1308.81142
Schneider, Carsten (ed.) et al., Computer algebra in quantum field theory. Integration, summation and special functions. Wien: Springer (ISBN 978-3-7091-1615-9/hbk; 978-1-4614-8523-0/ebook). Texts and Monographs in Symbolic Computation, 381-406 (2013).
A geometric perspective on counterterms related to Dyson-Schwinger equations. (English) Zbl 1284.81153
Correlators, Feynman diagrams, and quantum no-hair in deSitter spacetime. (English) Zbl 1278.81136
Reviewer: S. Moskaliuk (Kyiv)
Massive 3-loop ladder diagrams for quarkonic local operator matrix elements. (English) Zbl 1262.81184
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