Statistical Methods in Particle Physics
Contents
Links to slides in red:

Basics concepts
 Probability
 Mean, median, mode
 Covariance and correlation
 Probability distributions

Uncertainty
 Statistical and systematic uncertainties
 Propagation of uncertainties
 Combination of uncorrelated measurements

Monte Carlo and numerical methods
 Generation of random numbers
 Monte Carlo integration
 Applications in HEP

Parameter estimation
 Basics: consistency, bias, efficiency
 Maximum likelihood method
 The method of least squares

Hypothesis testing
 NeymanPearson lemma
 pvalue
 LookElsewhere effect

Confidence limits and intervals
 Neyman construction
 FeldmanCousins confidence intervals

Multivariate analysis
 Fisher linear discriminnat
 Neural Networks
 Boosted Decision trees

Unfolding
 Response matrix
 Regularized unfolding
 "Bayesian" unfolding
News
 "Klausureinsicht" on 14 February 2018 from 10:00am  11:00am in INF 227 (KIP) / SR 3.404
 Date of written exam: 5 February 2018 (2:15pm  4:15pm), more details further below
Required knowledge
On the statistics side, there is no special knowledge is requires, and we will (briefly) repeat the basic principles of statistics. On the particle physics side, the PEP4 lecture is sufficient, and the lecture can serve as a natural followup of PEP4 for Bachelor students interested in Particle Physics. Master students are invited to attend this lecture in parallel or after the Particle Physics course. The tutorials will provide a stepbystep introduction to root and some basics of C++.
Practical information
Lecture
 Mondays 14:15 – 15:45 in INF 227 (KIP) / SR 3.404. Exception: first lecture (on 16 Oct 2017) starts at 15:00!
 First lecture: October 16, 2017
Tutorials
 Mondays, 16:00 – 17:45 in CIP Pool, Physikalisches Institut (INF 226) im 1. OG
 First tutorial: October 16, 2017
 Please sign up for the tutorials!
 Used software: root (C++based)
Exercise sheets
 will be handed out every week
 solutions have to handed in by email
Exam
 A written exam will take place on 5 February 2018, 14:15–16:15 in KIP, HS1
 You can bring one DIN A4 sheet with formulas etc. (you can use both sides)
 A pocket calculator is needed. Please bring one.
ECTS points
 Lecture and tutorials: 4 ECTS points
Practice groups
 Group 1 (Neubert)
27 participants
Mon 16:00  18:00
Homework problems
 Tutorial 1
 Tutorial 2
 Tutorial 3
 Tutorial 4
 Tutorial 5
 Tutorial 6
 Tutorial 7
 Tutorial 8
 Tutorial 9
Contact
 Klaus Reygers (reygers@physi.uniheidelberg.de)
 Sebastian Neubert (sneubert@physi.uniheidelberg.de)