FeynLecture: Tools for BSM Physics — Sho Iwamoto / Physics

Lecture slides: https://misho104.github.io/FeynLecture/
Materials for “Lecture A”: https://github.com/misho104/FeynLecture
Short URL for this page: http://bit.ly/MishoFeynLecture

Overview

This is an introductory course of computer-based collider physics.

This course consists of two lectures. Lecture A focuses on how to use the FeynArts+FormCalc+LoopTools suite, which is widely used for automatic calculation of scattering amplitudes, as well as FeynRules, which helps to express your model (Lagrangian) in computer codes.

Lecture B is a very basic introduction of MadGraph5, i.e., collider simulation. A brief introduction of how to analyze the generated events using Python codes are also included.

Goal

In Lecture A, you will learn how to automate your Feynman-diagram calculation.

Using FeynArts, you can automatically generate Feynman diagrams for any Standard Model processes.
Using FormCalc, you can automatically calculate the tree-level amplitudes of 2-to-2 Standard Model processes.
Using FormCalc and LoopTools, you can automatically calculate 1-loop level amplitudes of simple Standard Model processes.
You have a basic idea of how to implement your model with FeynRules.
You can perform the amplitude calculation above with your implemented FeynRules model.

In Lecture B, you will learn the basic idea of collider simulation using MadGraph5.

You can explain what the term “Monte Carlo simulation” means.
You can calculate the cross section of basic Standard Model process.
With FeynRules, you can calculate the cross section of simple processes in (theoretically-) “any” models.
You have a basic understanding of [[Pythia]]/[[Delphes]] detector simulation.
You can invoke [[Pythia]]/[[Delphes]] detector simulation.
You have a basic idea of how to analyze the generated events, using [[Python]].

Historical Information

Lecture A is based on the lecture I gave in February 2012 at Osaka University with request from Odakin. It was designed as 2.5 days lecture, and it took 16 hours including the environment set-up.

Then, in October 2016 I was asked by Seong Chan to give a 4-day lecture course in Yonsei University, when I also include Lecture B.

Lecture Materials

Lecture slides are summarized in GitHub Page. Materials for “Lecture A” is maintained on GitHub. See releases for archive files.

Lecture A: Automated analytic calculation of matrix elements

Lecture 0 : Mathematica Basic
- MathematicaBasic.pdf
- MathematicaBasic.txt
Lecture 1 : Tree-level Calculation with FeynArts / FormCalc
- Lecture1-1.nb: the very first step $e^-e^+\to\mu^-\mu^+$ in QED
- Lecture1-2.nb: do it again! : $e^-\mu^-\to e^-\mu^-$ in QED
- Lecture1-3.nb: and again! : $e^+ e^- \to \gamma \gamma$ in QED
- Lecture1-4.nb: All about tree-level : QCD processes
- Lecture1-ex.nb: Exercises
- Lecture1-ex-ex.nb: Extra Exercises
Lecture 2 : To Create a New Model File with FeynRules
- Lecture2-1.nb: what should we do to handle a new model?
- Lecture2-2.nb: an example: $\phi^4$ -theory
- Lecture2-3.nb: QCD calculation with FeynRules
Lecture 3 : Loop-level calculation
- Lecture3-1.nb: a simple (but uneasy and subtle) example “QCD box diagrams”
- Lecture3-hgg.nb: phenomenologically interesting example $h\to\gamma\gamma$
- Lecture3-ex-eevh.nb: Exercises $e^+e^-\to Vh$

Lecture B: Monte Carlo simulation

Lecture 0 : What is Monte Carlo simulation?
Lecture 1 : MadGaraph5 basic
- $pp→t\bar t$ , the most boring example
- Theoretical knowledge
Lecture 2 : MadGaraph5 basic-plus
- How to use other models?
- MSSM cross sections
Lecture 3 : Detector simulation with Pythia-PGS + Delphes
Lecture 4 : Analysis

Schedule

Oct. 2016 Yonsei University

Oct. 11 (Tue) 10:00‒12:00 (615B): Installation help-desk (Lecture 0: precourse work)
Oct. 11 (Tue) 17:00‒19:00 (352): Lecture A-1: FA+FC Tree-level amplitude
Oct. 12 (Wed) 10:00‒12:00 (B101): Lecture B-1: MG5 Standard Model Tree-level
Oct. 12 (Wed) 17:00‒19:00 (352): Lecture A-2: FeynRules for your own model
Oct. 13 (Thu) 10:00‒12:00 (615B): Lecture B-2: MG5 for other models
Oct. 13 (Thu) 17:00‒19:00 (352): Lecture A-3: LoopTools
Oct. 14 (Fri) 10:00‒12:00 (615B): extra topics? (CheckMATE / MadAnalysis / SM.fr)
Oct. 14 (Fri) 17:00‒19:00 (352): extra topics? (CheckMATE / MadAnalysis / SM.fr)

Feb. 2012 Osaka University

Feb. 8 (Wed) morning: Installation help-desk and Lecture 0: precourse work
Feb. 8 (Wed) afternoon + Feb. 9 (Thu) morning: Lecture A-1: FA+FC Tree-level amplitude
Feb. 9 (Thu) afternoon + Feb. 10 (Fri) morning: Lecture A-2: FeynRules for your own model
Feb. 10 (Fri) afternoon: Lecture A-3: LoopTools

Installation Tips

As you know, you have to AppendTo[$Path, /the/directory/of/the/packages] to use FeynArts etc. You can use this $Path as the default configuration if you add these commands into the "initialization file" found in $HOME/.Mathematica/Kernel/init.m, $HOME/Library/Mathematica/Kernel/init.m, etc. (depending on the platform).

Actually I installed all the packages I use in $HOME/Documents/Mathematica/lib/, and wrote the following commands in init.m:

Global`$LibDirectory=FileNameJoin[{$HomeDirectory, "Documents", "Mathematica", "lib"}]
AppendTo[$Path, Global`$LibDirectory];
$Path = Join[$Path, Select[FileNames["*", Global`$LibDirectory], FileType[#] == Directory &]];

which add all the directories $HOME/Documents/Mathematica/lib/* into $Path.