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Elementary Particle Physics:

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Short recap on the Standard Model

Feynman diagrams, units and kinematics Decay Rates and Cross-sections

Elementary Particle Physics:

theory and experiments

Prof. dr hab. Elżbieta Richter-Wąs

Follow the course/slides from M. A. Thomson lectures at Cambridge University

Course will concentrate on the modern view of particle physics with the emphasis on how theoretical concepts relate to recent experimental measurements.

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Review of the Standard Model

2

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Matter in the Standard Model

3

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Forces in the Standard Model

4

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5

Standard Model vertices

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Fundamental interactions in the decay

Decay of the fundamental particles all involve the weak charged current, the only one allowing for a change of flavour. At rest, it is very much

suppressed by the W mass in the propagator.

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Fundamental interactions in the decay

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Feynman diagrams

8

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Special relativity and 4-vector notation

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Mandelstam s, t and u

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Example: Mandelstam s, t and u

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*

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Natural Units

12

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Heaviside-Lorents Units

13

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From Feynman diagrams to physics

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Cross-sections and decay rates

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The first few lectures

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Paricle decay rates

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Non-relativistic phase-space (revision)

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Dirac d function

19

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The Golden Rule revisited

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Lorentz invariant phase-space

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Decay rate calculations

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Cross-section definition

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example

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Cross-section calculations

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2-> 2 Body Scattering in C.o.M. Frame

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Lorentz invariant differential cross-section

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2->2 body scattering in the Lab Frame

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Summary

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Summary cont.

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Appendix I: Lorentz Invariant Flux

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Appendix II: general 2->2 scattering in lab frame

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