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1 -Lin Chen
1 +Wenyang Qian
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1 -=== Phenomenology in High-Energy Physics ===
2 -==== Titor: [[Lin>>https://igfae.usc.es/igfae/persoa/chen-lin/549/||target="_blank"]] Chen, [[inspirehep>>https://inspirehep.net/authors/1477331]] ====
3 -==== Supervisor: [[Lin>>https://igfae.usc.es/igfae/persoa/chen-lin/549/||target="_blank"]] Chen, [[inspirehep>>https://inspirehep.net/authors/1477331]]
1 +=== Quantum simulation of real-time dynamics in high-energy physics ===
2 +==== Supervisor: Wenyang Qian
4 4  ====
5 5  
6 -This project cluster offers a guided introduction to key techniques in theoretical and phenomenological studies of high-energy collisions.
7 -Students will explore the dynamics of particle interactions in both elementary and nuclear processes, ranging from analytical calculations to numerical simulations.
8 -They can choose from one of four distinct sub-projects, focusing either on pen-and-paper derivations or hands-on computational work.
9 -Each sub-project is adapted from a typical MSc-level exercise and is designed to be accessible to highly motivated undergraduate students.
10 -
11 -----
12 -
13 -=== P1 (analytical) - NLO Corrections to Pair Production ===
14 -
15 -**Introduction:**
16 -
17 -This project introduces students to loop corrections in Quantum Field Theory (QFT).
18 -Focusing on the simplest QED process: electron-positron annihilation into a muon pair, students will analyze both the Leading-Order (LO) Feynman diagram and its Next-to-Leading-Order (NLO) correction with photon radiation.
19 -The aim is to develop familiarity with tree- and loop-level calculations, understand the origin of singularities, and apply techniques to handle divergences.
20 -
21 -**Expected outcomes:**
22 -
23 -* Understanding of Feynman diagram rules and their application to QED processes
24 -* Tree-level and one-loop calculations for e⁺e⁻ → μ⁺μ⁻
25 -* Cross-section computation and application of dimensional regularization
26 -* Optional: determination of the tau lepton mass from cross-section ratios
27 -* Optional: estimation of Nc from the ratio of hadronic to leptonic cross-sections
28 -
29 -**Requirements:**
30 -
31 -* Familiarity with special relativity and quantum mechanics
32 -* Basic calculus skills
33 -
34 -----
35 -
36 -=== P2 (analytical) - Opacity Expansion in Parton Energy Loss ===
37 -
38 -**Introduction:**
39 -
40 -This project explores the foundational aspects of jet quenching through the Gyulassy-Levai-Vitev (GLV) formalism.
41 -Beginning with a review of Feynman rules and basic concepts in heavy-ion collisions, students will focus on computing the first-order opacity contribution to the medium-induced gluon radiation spectrum in a hot QCD plasma.
42 -The emphasis is on analytical derivations, with attention to diagrammatic summation techniques and approximations used in perturbative QCD.
43 -
44 -**Expected outcomes:**
45 -
46 -* Understanding the conceptual basis of jet quenching in a quark-gluon plasma
47 -* Application of Feynman diagrams to model jet–medium scattering processes
48 -* Derivation of the Leading-Order (first-opacity) contribution to induced gluon radiation
49 -* Optional: Study of detailed balance using basic thermal field theory techniques
50 -* Optional: Extension to higher-order terms in the opacity expansion
51 -
52 -**Requirements:**
53 -
54 -* Familiarity with Feynman diagrammatics
55 -* Basic calculus skills
56 -
57 -----
58 -
59 -=== P3 (computational) - Dijet Cross-Sections at Leading-Order ===
60 -
61 -**Introduction:**
62 -
63 -This hands-on computational project introduces students to the numerical calculation of cross-sections for physically relevant processes.
64 -Students will implement tree-level 2→2 partonic scattering leading to dijet production, and compute differential cross-sections to be compared with experimental data from the LHC.
65 -This project serves as an entry point into collider phenomenology, linking theoretical calculations with measurable observables.
66 -
67 -**Expected outcomes:**
68 -
69 -* Familiarity with numerical integration techniques
70 -* Implementation of Leading-Order matrix elements for dijet production in proton–proton collisions
71 -* Calculation and analysis of differential cross-sections with comparison to experimental data
72 -* Optional: Extension to beyond LO corrections
73 -* Optional: Application to heavy-ion collisions via simple quenching models
74 -
75 -**Requirements:**
76 -
77 -* Basic familiarity with collider physics concepts
78 -* Programming experience and elementary numerical analysis skills
79 -
80 -----
81 -
82 -=== P4 (computational) - Glauber Modelling in Nuclear Collisions ===
83 -
84 -**Introduction:**
85 -
86 -This project introduces the classical Glauber model, used to characterize the initial geometry of nuclear collisions.
87 -Students will implement both optical and Monte Carlo versions of the model to compute geometric observables such as participant numbers and spatial eccentricities, which are essential for centrality classification and anisotropic flow studies in heavy-ion collisions.
88 -
89 -**Expected outcomes:**
90 -
91 -* Familiarity with nuclear collision geometry and numerical integration techniques
92 -* Implementation of optical and Monte Carlo Glauber models
93 -* Optional: Calculation of eccentricities in non-central collisions
94 -* Optional: Mapping of impact parameter to centrality classes
95 -
96 -**Requirements:**
97 -
98 -* Basic familiarity with collider or nuclear physics concepts
99 -* Programming experience and elementary numerical analysis skills
100 -
101 -----
5 +We will work on quantum simulation of real-time dynamics for high-energy physics problems using the tensor network and digital quantum computing approaches. We start with the Ising model to get familiarity with quantum simulation and then move on to more advanced real-time simulation of quantum field theory including lattice gauge theory relevant to topics in high-energy physics. Familiarity with quantum mechanics and programming are required. Background in quantum information science would be a plus but not necessary.