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The role of differential equations in the process of calculating Feynman integrals is reviewed. An example of a diagram is given for which the method of differential equations was introduced, the properties of the inverse-mass-expansion…

High Energy Physics - Phenomenology · Physics 2021-07-23 A. V. Kotikov

The integration by parts recurrence relations allow to reduce some Feynman integrals to more simple ones (with some lines missing). Nevertheless the possibility of such reduction for the given particular integral was unclear. The recently…

High Energy Physics - Phenomenology · Physics 2009-10-31 P. A. Baikov

I discuss a progress in calculations of Feynman integrals based on the Gegenbauer Polynomial Technique and the Differential Equation Method.

High Energy Physics - Phenomenology · Physics 2009-11-10 A. V. Kotikov

Fitting models to measured data is one of the standard tasks in the natural sciences, typically addressed early on in physics education in the context of laboratory courses, in which statistical methods play a central role in analysing and…

Physics Education · Physics 2022-10-25 Johannes Gäßler , Günter Quast , Daniel Savoiu , Cedric Verstege

This paper describes a new method for low rank kernel approximation called IKA. The main advantage of IKA is that it produces a function $\psi(x)$ defined as a linear combination of arbitrarily chosen functions. In contrast the…

Machine Learning · Computer Science 2018-09-06 Matteo Ronchetti

We propose to call a class of deformed Feynman integrals as twisted Feynman integrals, where the integrand has an additional exponential factor linear in loop momenta. Such integrals appear in various contexts: tensor reduction of Feynman…

High Energy Physics - Theory · Physics 2026-04-08 Joon-Hwi Kim , Jung-Wook Kim , Jungwon Lim

We present a novel approach to optimizing the reduction of Feynman integrals using integration-by-parts identities. By developing a priority function through the FunSearch algorithm, which combines large language models and genetic…

High Energy Physics - Phenomenology · Physics 2025-02-14 Zhuo-Yang Song , Tong-Zhi Yang , Qing-Hong Cao , Ming-xing Luo , Hua Xing Zhu

We report on highlights of the ACL2 enhancements introduced in ACL2 releases since the 2011 ACL2 Workshop. Although many enhancements are critical for soundness or robustness, we focus in this paper on those improvements that could benefit…

Mathematical Software · Computer Science 2013-05-01 Matt Kaufmann , J Strother Moore

Pythia 8, the C++ rewrite of the commonly-used Pythia event generator, is now available in a first full-fledged version 8.1. The older Pythia 6.4 generator in Fortran 77 is still maintained, for now, but users are strongly recommended to…

High Energy Physics - Phenomenology · Physics 2008-09-02 Torbjörn Sjöstrand

Significant progress has been made in the past decade for full-reference image quality assessment (FR-IQA). However, new large scale image quality databases have been released for evaluating image quality assessment algorithms. In this…

Image and Video Processing · Electrical Eng. & Systems 2019-07-05 Domonkos Varga

We present SubTropica, a Mathematica package that performs symbolic integration of multi-polylogarithmic integrals using recent advances in tropical geometry. It focuses on the class of linearly-reducible Euler integrals, such as Feynman…

High Energy Physics - Theory · Physics 2026-04-24 Mathieu Giroux , Sebastian Mizera , Giulio Salvatori

Some recent developments in the theory of quantum spin systems are reviewed.

Mathematical Physics · Physics 2007-12-27 Bruno Nachtergaele , Robert Sims

We review the current status of the WHIZARD event generator. We discuss, in particular, recent improvements and features that are relevant for simulating the physics program at a future Linear Collider.

High Energy Physics - Phenomenology · Physics 2014-03-31 W. Kilian , F. Bach , T. Ohl , J. Reuter

PICsar2D is a 2.5D relativistic, electromagnetic, particle in cell code designed for studying the pulsar magnetosphere. The source code and a suite of Python analysis routines can be downloaded from…

High Energy Astrophysical Phenomena · Physics 2017-07-07 Mikhail A. Belyaev

Observability of a software system aims at allowing its engineers and operators to keep the system robust and highly available. With this paper, we present the Kieker Observability Framework Version 2, the successor of the Kieker Monitoring…

Software Engineering · Computer Science 2025-03-13 Shinhyung Yang , David Georg Reichelt , Reiner Jung , Marcel Hansson , Wilhelm Hasselbring

FormCalc is a Mathematica package for the automatic computation of tree-level and one-loop Feynman amplitudes. It accepts diagrams generated by FeynArts, simplifies them, and generates a complete Fortran code for their numerical evaluation.…

High Energy Physics - Phenomenology · Physics 2009-11-10 T. Hahn

This paper can be viewed as a sequel to the author's long survey on the Zimmer program \cite{F11} published in 2011. The sequel focuses on recent rapid progress on certain aspects of the program particularly concerning rigidity of Anosov…

Dynamical Systems · Mathematics 2019-02-26 David Fisher

This course on Feynman integrals starts from the basics, requiring only knowledge from special relativity and undergraduate mathematics. Topics from quantum field theory and advanced mathematics are introduced as they are needed. The course…

High Energy Physics - Theory · Physics 2022-06-15 Stefan Weinzierl

We introduce SOFIA, a Mathematica package that automatizes the computation of singularities of Feynman integrals, based on new theoretical understanding of their analytic structure. Given a Feynman diagram, SOFIA generates a list of…

High Energy Physics - Theory · Physics 2026-01-16 Miguel Correia , Mathieu Giroux , Sebastian Mizera

We introduce Gemma 3, a multimodal addition to the Gemma family of lightweight open models, ranging in scale from 1 to 27 billion parameters. This version introduces vision understanding abilities, a wider coverage of languages and longer…

Computation and Language · Computer Science 2025-03-26 Gemma Team , Aishwarya Kamath , Johan Ferret , Shreya Pathak , Nino Vieillard , Ramona Merhej , Sarah Perrin , Tatiana Matejovicova , Alexandre Ramé , Morgane Rivière , Louis Rouillard , Thomas Mesnard , Geoffrey Cideron , Jean-bastien Grill , Sabela Ramos , Edouard Yvinec , Michelle Casbon , Etienne Pot , Ivo Penchev , Gaël Liu , Francesco Visin , Kathleen Kenealy , Lucas Beyer , Xiaohai Zhai , Anton Tsitsulin , Robert Busa-Fekete , Alex Feng , Noveen Sachdeva , Benjamin Coleman , Yi Gao , Basil Mustafa , Iain Barr , Emilio Parisotto , David Tian , Matan Eyal , Colin Cherry , Jan-Thorsten Peter , Danila Sinopalnikov , Surya Bhupatiraju , Rishabh Agarwal , Mehran Kazemi , Dan Malkin , Ravin Kumar , David Vilar , Idan Brusilovsky , Jiaming Luo , Andreas Steiner , Abe Friesen , Abhanshu Sharma , Abheesht Sharma , Adi Mayrav Gilady , Adrian Goedeckemeyer , Alaa Saade , Alex Feng , Alexander Kolesnikov , Alexei Bendebury , Alvin Abdagic , Amit Vadi , András György , André Susano Pinto , Anil Das , Ankur Bapna , Antoine Miech , Antoine Yang , Antonia Paterson , Ashish Shenoy , Ayan Chakrabarti , Bilal Piot , Bo Wu , Bobak Shahriari , Bryce Petrini , Charlie Chen , Charline Le Lan , Christopher A. Choquette-Choo , CJ Carey , Cormac Brick , Daniel Deutsch , Danielle Eisenbud , Dee Cattle , Derek Cheng , Dimitris Paparas , Divyashree Shivakumar Sreepathihalli , Doug Reid , Dustin Tran , Dustin Zelle , Eric Noland , Erwin Huizenga , Eugene Kharitonov , Frederick Liu , Gagik Amirkhanyan , Glenn Cameron , Hadi Hashemi , Hanna Klimczak-Plucińska , Harman Singh , Harsh Mehta , Harshal Tushar Lehri , Hussein Hazimeh , Ian Ballantyne , Idan Szpektor , Ivan Nardini , Jean Pouget-Abadie , Jetha Chan , Joe Stanton , John Wieting , Jonathan Lai , Jordi Orbay , Joseph Fernandez , Josh Newlan , Ju-yeong Ji , Jyotinder Singh , Kat Black , Kathy Yu , Kevin Hui , Kiran Vodrahalli , Klaus Greff , Linhai Qiu , Marcella Valentine , Marina Coelho , Marvin Ritter , Matt Hoffman , Matthew Watson , Mayank Chaturvedi , Michael Moynihan , Min Ma , Nabila Babar , Natasha Noy , Nathan Byrd , Nick Roy , Nikola Momchev , Nilay Chauhan , Noveen Sachdeva , Oskar Bunyan , Pankil Botarda , Paul Caron , Paul Kishan Rubenstein , Phil Culliton , Philipp Schmid , Pier Giuseppe Sessa , Pingmei Xu , Piotr Stanczyk , Pouya Tafti , Rakesh Shivanna , Renjie Wu , Renke Pan , Reza Rokni , Rob Willoughby , Rohith Vallu , Ryan Mullins , Sammy Jerome , Sara Smoot , Sertan Girgin , Shariq Iqbal , Shashir Reddy , Shruti Sheth , Siim Põder , Sijal Bhatnagar , Sindhu Raghuram Panyam , Sivan Eiger , Susan Zhang , Tianqi Liu , Trevor Yacovone , Tyler Liechty , Uday Kalra , Utku Evci , Vedant Misra , Vincent Roseberry , Vlad Feinberg , Vlad Kolesnikov , Woohyun Han , Woosuk Kwon , Xi Chen , Yinlam Chow , Yuvein Zhu , Zichuan Wei , Zoltan Egyed , Victor Cotruta , Minh Giang , Phoebe Kirk , Anand Rao , Kat Black , Nabila Babar , Jessica Lo , Erica Moreira , Luiz Gustavo Martins , Omar Sanseviero , Lucas Gonzalez , Zach Gleicher , Tris Warkentin , Vahab Mirrokni , Evan Senter , Eli Collins , Joelle Barral , Zoubin Ghahramani , Raia Hadsell , Yossi Matias , D. Sculley , Slav Petrov , Noah Fiedel , Noam Shazeer , Oriol Vinyals , Jeff Dean , Demis Hassabis , Koray Kavukcuoglu , Clement Farabet , Elena Buchatskaya , Jean-Baptiste Alayrac , Rohan Anil , Dmitry , Lepikhin , Sebastian Borgeaud , Olivier Bachem , Armand Joulin , Alek Andreev , Cassidy Hardin , Robert Dadashi , Léonard Hussenot