Differential operators and unifying relations for 1-loop Feynman integrands from Berends-Giele currents

نویسندگان

چکیده

A bstract Our work focuses on utilizing the Berends-Giele currents to construct differential operators and unifying relations for 1-loop Feynman integrands. We successfully reproduce known results between Yang-Mills theory scalar theory, extend discussion (A)dS case with minimal coupling gluons.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Solving Recurrence Relations for Multi-Loop Feynman Integrals

We study the problem of solving integration-by-parts recurrence relations for a given class of Feynman integrals which is characterized by an arbitrary polynomial in the numerator and arbitrary integer powers of propagators, i.e., the problem of expressing any Feynman integral from this class as a linear combination of master integrals. We show how the parametric representation invented by Baik...

متن کامل

Loop Integrands for Scattering Amplitudes from the Riemann Sphere.

The scattering equations on the Riemann sphere give rise to remarkable formulas for tree-level gauge theory and gravity amplitudes. Adamo, Casali, and Skinner conjectured a one-loop formula for supergravity amplitudes based on scattering equations on a torus. We use a residue theorem to transform this into a formula on the Riemann sphere. What emerges is a framework for loop integrands on the R...

متن کامل

Feynman Amplitudes and Landau Singularities for 1-loop Graphs

The subject of Feynman amplitudes with variable momenta and non-zero masses has been studied by physicists since the 1950’s. In the interim, new mathematical methods involving Hodge structures and variations of Hodge structures have been developed. The purpose of this paper is to apply these techniques to the study of amplitudes and Landau singularities in momentum space. While the techniques w...

متن کامل

Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral

It is shown that the study of the imaginary part and of the corresponding dispersion relations of Feynman graph amplitudes within the differential equations method can provide a powerful tool for the solution of the equations, especially in the massive case. The main features of the approach are illustrated by discussing the simple cases of the 1-loop selfmass and of a particular vertex amplitu...

متن کامل

A unifying retinex model based on non-local differential operators

In this paper, we present a unifying framework for retinex that is able to reproduce many of the existing retinex implementations within a single model. The fundamental assumption, as shared with many retinex models, is that the observed image is a multiplication between the illumination and the true underlying reflectance of the object. Starting from Morel’s 2010 PDE model for retinex, where i...

متن کامل

ذخیره 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: Journal of High Energy Physics

سال: 2023

ISSN: ['1127-2236', '1126-6708', '1029-8479']

DOI: https://doi.org/10.1007/jhep08(2023)038