Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Pögel, Sebastian"'
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 up of more
Externí odkaz:
http://arxiv.org/abs/2407.08799
Autor:
Jockers, Hans, Kotlewski, Sören, Kuusela, Pyry, McLeod, Andrew J., Pögel, Sebastian, Sarve, Maik, Wang, Xing, Weinzierl, Stefan
It has long been known that the maximal cut of the equal-mass four-loop banana integral is a period of a family of Calabi-Yau threefolds that depends on the kinematic variable $z=m^2/p^2$. We show that it can also be interpreted as a period of a fami
Externí odkaz:
http://arxiv.org/abs/2404.05785
Autor:
Marzucca, Robin, McLeod, Andrew J., Page, Ben, Pögel, Sebastian, Wang, Xing, Weinzierl, Stefan
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. In the simplest case this is a complex curve of genus zero (aka the Riemann sphe
Externí odkaz:
http://arxiv.org/abs/2401.06360
In this talk we discuss the construction of a basis of master integrals for the family of the $l$-loop equal-mass banana integrals, such that the differential equation is in an $\varepsilon$-factorised form. As the $l$-loop banana integral is related
Externí odkaz:
http://arxiv.org/abs/2309.07531
The maximal cut of the nonplanar crossed box diagram with all massive internal propagators was long ago shown to encode a hyperelliptic curve of genus 3 in momentum space. Surprisingly, in Baikov representation, the maximal cut of this diagram only g
Externí odkaz:
http://arxiv.org/abs/2307.11497
We describe a systematic approach to cast the differential equation for the $l$-loop equal mass banana integral into an $\varepsilon$-factorised form. With the known boundary value at a specific point we obtain systematically the term of order $j$ in
Externí odkaz:
http://arxiv.org/abs/2212.08908
Certain Feynman integrals are associated to Calabi-Yau geometries. We demonstrate how these integrals can be computed with the method of differential equations. The four-loop equal-mass banana integral is the simplest Feynman integral whose geometry
Externí odkaz:
http://arxiv.org/abs/2211.04292
Autor:
Kosower, David A., Pögel, Sebastian
We present work on two-loop amplitudes in pure Yang-Mills theory with all gluons of identical helicity. We show how to obtain their rational terms -- the hardest parts to compute -- via well-understood one-loop unitarity techniques.
Comment: 8 p
Comment: 8 p
Externí odkaz:
http://arxiv.org/abs/2208.06209
We show that the differential equation for the three-loop equal-mass banana integral can be cast into an $\varepsilon$-factorised form with entries constructed from (meromorphic) modular forms and one special function, which can be given as an iterat
Externí odkaz:
http://arxiv.org/abs/2207.12893
Autor:
Kosower, David A., Pögel, Sebastian
We present a calculation of the rational terms in two-loop all-plus gluon amplitudes using $D$-dimensional unitarity. We use a conjecture of separability of the two loops, and then a simple generalization of one-loop $D$-dimensional unitarity to perf
Externí odkaz:
http://arxiv.org/abs/2206.14445