Yangian bootstrap for massive Feynman integrals
نویسندگان
چکیده
We extend the study of recently discovered Yangian symmetry massive Feynman integrals and its relation to momentum space conformal symmetry. After proving statements in detail at one two loop orders, we employ constraints bootstrap various one-loop examples integrals. In particular, explore interplay between hypergeometric expressions considered Based on these conjecture single series representations for all dual D spacetime dimensions with generic propagators.
منابع مشابه
Feynman integrals and motives
This article gives an overview of recent results on the relation between quantum field theory and motives, with an emphasis on two different approaches: a “bottom-up” approach based on the algebraic geometry of varieties associated to Feynman graphs, and a “top-down” approach based on the comparison of the properties of associated categorical structures. This survey is mostly based on joint wor...
متن کاملFeynman parameter integrals
We often deal with products of many propagator factors in loop integrals. The trick is to combine many propagators into a single fraction so that the four-momentum integration can be done easily. This is done commonly using so-called Feynman parameters. We rewrite the product of propagators 1 (A 1 + ii)(A 2 + ii) · · · (A n + ii) , (1) where A i has the form of p 2 − m 2. The sign of A i is not...
متن کاملPeriods and Feynman integrals
We consider multi-loop integrals in dimensional regularisation and the corresponding Laurent series. We study the integral in the Euclidean region and where all ratios of invariants and masses have rational values. We prove that in this case all coefficients of the Laurent series are periods.
متن کاملBlowing up Feynman integrals
In this talk we discuss sector decomposition. This is a method to disentangle overlapping singularities through a sequence of blow-ups. We report on an open-source implementation of this algorithm to compute numerically the Laurent expansion of divergent multi-loop integrals. We also show how this method can be used to prove a theorem which relates the coefficients of the Laurent series of dime...
متن کاملSchouten identities for Feynman graph amplitudes; The Master Integrals for the two-loop massive sunrise graph
A new class of identities for Feynman graph amplitudes, dubbed Schouten identities, valid at fixed integer value of the dimension d is proposed. The identities are then used in the case of the two-loop sunrise graph with arbitrary masses for recovering the second-order differential equation for the scalar amplitude in d=2 dimensions, as well as a chained set of equations for all the coefficient...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SciPost physics
سال: 2021
ISSN: ['2542-4653']
DOI: https://doi.org/10.21468/scipostphys.11.1.010