Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Stefan Weinzier"'
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 11, Pp 1-41 (2024)
Abstract We compute the electron self-energy in Quantum Electrodynamics to three loops in terms of iterated integrals over kernels of elliptic type. We make use of the differential equations method, augmented by an ϵ-factorized basis, which allows u
Externí odkaz:
https://doaj.org/article/b0b52ee6c7d94c769f6e8b9ab12c9fb9
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 9, Pp 1-39 (2024)
Abstract It is well-known that all Feynman integrals within a given family can be expressed as a finite linear combination of master integrals. The master integrals naturally group into sectors. Starting from two loops, there can exist sectors made u
Externí odkaz:
https://doaj.org/article/6c9c4288b8624d639da867b9fb808211
Publikováno v:
European Physical Journal C: Particles and Fields, Vol 84, Iss 5, Pp 1-22 (2024)
Abstract The Moller experiment and the P2 experiment aim at measuring the weak mixing angle at low scales. The Moller experiment uses $$e^- e^- \rightarrow e^- e^-$$ e - e - → e - e - -scattering, the P2 experiment uses $$e^- N \rightarrow e^- N$$
Externí odkaz:
https://doaj.org/article/424a7363999342568ac4e6a24f889259
Publikováno v:
IEEE Access, Vol 12, Pp 155578-155597 (2024)
This paper proposes a linear algebra-based supervised machine learning algorithm for the symbolic representation of arbitrarily non-linear and recursive systems. It introduces multiple extensions to the algorithmic class of “Forward Orthogonal Leas
Externí odkaz:
https://doaj.org/article/5306716f7896491eb452aaf2a9d20d33
Publikováno v:
Journal of High Energy Physics, Vol 2023, Iss 6, Pp 1-30 (2023)
Abstract We report on an exact calculation of lattice correlation functions on a finite four-dimensional lattice with either Euclidean or Minkowskian signature. The lattice correlation functions are calculated by the method of differential equations.
Externí odkaz:
https://doaj.org/article/f47adb320f664195b0471906b9931200
Publikováno v:
Journal of High Energy Physics, Vol 2023, Iss 4, Pp 1-34 (2023)
Abstract We describe a systematic approach to cast the differential equation for the l-loop equal mass banana integral into an ε-factorised form. With the known boundary value at a specific point we obtain systematically the term of order j in the e
Externí odkaz:
https://doaj.org/article/f016aae2d1ad4f0197a73875508d4712
Publikováno v:
Journal of High Energy Physics, Vol 2022, Iss 11, Pp 1-35 (2022)
Abstract We consider the full set of master integrals with internal top-and W-propagators contributing to the three-loop Higgs self-energy diagrams of order O $$ \mathcal{O} $$ (α 2 α s ). We split the master integrals into a system relevant to the
Externí odkaz:
https://doaj.org/article/0113185f20fe40fcbc41421a90c0d384
Publikováno v:
Journal of High Energy Physics, Vol 2022, Iss 9, Pp 1-29 (2022)
Abstract We show that the differential equation for the three-loop equal-mass banana integral can be cast into an ε-factorised form with entries constructed from (meromorphic) modular forms and one special function, which can be given as an iterated
Externí odkaz:
https://doaj.org/article/53340fb3d7124f98840fe98b3556de68
Autor:
Hildegard Müller, Stefan Weinzierl
Publikováno v:
Journal of High Energy Physics, Vol 2022, Iss 7, Pp 1-41 (2022)
Abstract We study a two-loop four-point function with one internal mass. This Feynman integral is one of the simplest Feynman integrals depending on two elliptic curves. We transform the associated differential equation into an ε-form. We study the
Externí odkaz:
https://doaj.org/article/ba63a48730a048fe819b673f6d6735ae
Publikováno v:
EURASIP Journal on Audio, Speech, and Music Processing, Vol 2021, Iss 1, Pp 1-14 (2021)
Abstract Measurements of the directivity of acoustic sound sources must be interpolated in almost all cases, either for spatial upsampling to higher resolution representations of the data, for spatial resampling to another sampling grid, or for use i
Externí odkaz:
https://doaj.org/article/6858460fe6b644de9eb8e641c14db81e