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Related papers: The chirality-flow formalism for standard model ca…

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Inspired by the flow description of su(N) colour calculations, we recently showed how to simplify the spinor-helicity formalism (at the algebra level two copies of complexified su(2)) by treating each Weyl spinor as part of a flow line with…

High Energy Physics - Phenomenology · Physics 2021-10-11 Joakim Alnefjord , Andrew Lifson , Christian Reuschle , Malin Sjodahl

In a recent paper we introduced the chirality-flow formalism, a method for simple and transparent calculations of Feynman diagrams based on the left- and right-chiral $\mathrm{sl}(2,\mathbb{C})$ nature of spacetime. While our previous work…

High Energy Physics - Phenomenology · Physics 2023-03-09 Joakim Alnefjord , Andrew Lifson , Christian Reuschle , Malin Sjodahl

We take a fresh look at Feynman diagrams in the spinor-helicity formalism. Focusing on tree-level massless QED and QCD, we develop a new and conceptually simple graphical method for their calculation. In this pictorial method, which we dub…

High Energy Physics - Phenomenology · Physics 2020-11-03 Andrew Lifson , Christian Reuschle , Malin Sjodahl

Recently we introduced the chirality-flow formalism, a method which builds on the spinor-helicity formalism and is inspired by the color-flow idea in QCD. With this formalism, Feynman rules and diagrams are simplified to the extent that it…

High Energy Physics - Phenomenology · Physics 2022-07-06 Andrew Lifson , Malin Sjodahl , Zenny Wettersten

In a few recent papers we introduced the chirality-flow formalism, which was shown to make calculations of tree-level Feynman diagrams simple and transparent. Chirality flow, which is based on the spinor-helicity formalism, allows to often…

High Energy Physics - Phenomenology · Physics 2023-03-06 Andrew Lifson , Simon Plätzer , Malin Sjodahl

The chirality-flow formalism, combined with good choices of gauge reference vectors, simplifies tree-level calculations to the extent that it is often possible to write down amplitudes corresponding to Feynman diagrams immediately. It has…

High Energy Physics - Phenomenology · Physics 2024-02-19 Emil Boman , Andrew Lifson , Malin Sjodahl , Adam Warnerbring , Zenny Wettersten

In this review, we discuss recent developments concerning efficient calculations of multi-loop multi-leg scattering amplitudes. Inspired by the remarkable properties of the Loop-Tree Duality (LTD), we explain how to reconstruct an integrand…

High Energy Physics - Phenomenology · Physics 2021-09-30 German F. R. Sborlini

The gradient-flow formalism is applied to a non-Abelian gauge theory with scalar and fermionic particles, dubbed "scalar QCD". It is shown that the flowed scalar quark requires a field renormalization, albeit only beyond the one-loop level.…

High Energy Physics - Phenomenology · Physics 2025-03-26 J. Borgulat , N. Felten , R. V. Harlander , J. T. Kohnen

A method is developed whereby spinor helicity techniques can be used to simplify the calculation of loop amplitudes. This is achieved by using the Feynman-parameter representation where the offending off-shell loop momenta do not appear.…

High Energy Physics - Phenomenology · Physics 2009-10-22 C. S. Lam

Recently a powerful duality between color and kinematics has been proposed for integrands of scattering amplitudes in quite general gauge theories. In this paper the duality proposal is extended to the more general class of gauge theory…

High Energy Physics - Theory · Physics 2015-06-12 Rutger H. Boels , Bernd A. Kniehl , Oleg V. Tarasov , Gang Yang

The second order formalism for fermions provides a description of fermions that is very similar to that of scalars. We demonstrate that this second order formalism is equivalent to the standard Dirac formalism. We do so in terms of the…

High Energy Physics - Phenomenology · Physics 2016-09-01 A. G. Morgan

We summarize recent progress in applying the worldline formalism to the analytic calculation of one-loop N-point amplitudes. This string-inspired approach is well-adapted to avoiding some of the calculational inefficiencies of the standard…

High Energy Physics - Theory · Physics 2022-05-18 James P. Edwards , C. Moctezuma Mata , Christian Schubert

Separation of enantiomers by flows is a promising chiral resolution method using cost-effective microfluidics. Notwithstanding a number of experimental and numerical studies, a fundamental understanding still remains elusive, and an…

Soft Condensed Matter · Physics 2016-11-11 Sunghan Ro , Juyeon Yi , Yong Woon Kim

The bilinear combination of Dirac spinors $u(p_1,n_1)\bar u(p_2,n_2)$ is expressed in terms of Lorentz vectors in an explicit covariant form. The fact that the obtained expression involves only one auxiliary vector makes it very convenient…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. N. Rogalyov

The worldline formalism shares with string theory the property that it allows one to write down master integrals that effectively combine the contributions of many Feynman diagrams. While at the one-loop level these diagrams differ only by…

A framework to represent and compute two-loop $N$-point Feynman diagrams as double-integrals is discussed. The integrands are 'generalised one-loop type" multi-point functions multiplied by simple weighting factors. The final integrations…

High Energy Physics - Phenomenology · Physics 2020-04-15 J. Ph. Guillet , E. Pilon , Y. Shimizu , M. S. Zidi

In quantum electrodynamics, optical processes are theoretically described by double-sided Feynman diagrams. This formalism is powerful in the case of molecules but proves inappropriate to account for light-matter interactions within complex…

Optics · Physics 2019-06-10 T. Noblet , C. Humbert

We study in this work the 2D dynamics of an experimental system of disk-shaped rotors, fluidized by turbulent upflow. Contrary to previous knowledge, our experiments show the same particle chiral geometry can produce flows with different…

We lay out the basis of factorization at the amplitude level for processes involving the entire Standard Model. The factorization appears in a generalized eikonal approximation in which we expand around a quasi-soft limit for massive gauge…

High Energy Physics - Phenomenology · Physics 2024-07-16 Simon Plätzer , Malin Sjodahl

The scattering cross section of the resonant inelastic light scattering is represented as a correlation function in the Keldysh-Schwinger functional integral formalism. The functional integral approach enables us to compute the cross…

Strongly Correlated Electrons · Physics 2015-06-17 Hyun C. Lee
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