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Page 1: Automatic Leptonic Tensor Generation for BSM Models · –Output: library with complete set of objects (e.g. wavefunctions) to compute Feynman diagrams. • MadGraph 5: –Monte-Carlo

Diego Lopez Gutierrez

Dr. Josh Isaacson, Theory Department, PPD

Five Minutes Five Slides - SIST

3 June 2020

Automatic Leptonic Tensor Generation for

BSM Models

Page 2: Automatic Leptonic Tensor Generation for BSM Models · –Output: library with complete set of objects (e.g. wavefunctions) to compute Feynman diagrams. • MadGraph 5: –Monte-Carlo

• Theory of the EM, weak

and strong interactions.

• Describes most

phenomena in nature to

high accuracy.

• Is not complete.

– Gravity.

– Dark matter or dark

energy.

– Matter-antimatter

asymmetry in the

universe.

– Neutrino oscillations.

– And many more.

The Standard Model of Particle Physics

6/2/2020 Diego Lopez Gutierrez | Automatic Leptonic Tensor Generation for BSM Models2

Page 3: Automatic Leptonic Tensor Generation for BSM Models · –Output: library with complete set of objects (e.g. wavefunctions) to compute Feynman diagrams. • MadGraph 5: –Monte-Carlo

• Attempts at explaining phenomena beyond the SM.

– Examples: Supersymmetry, heavy neutrino models, sterile

neutrino models, etc.

• Processes too complex to be evaluated by hand.

• Event generators → Simulate particle physics events.

– Predictions compared to experiment.

– Discrepancies could show hints of new physics.

– Was the BSM theory accurate?

• Problem:

– Time to implement 1 BSM theory by hand in an event

generator: ~1 year.

– Many BSM theories to be tested. Unfeasible.

– Solution: automation.

Beyond the Standard Model (BSM) Theories

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Page 4: Automatic Leptonic Tensor Generation for BSM Models · –Output: library with complete set of objects (e.g. wavefunctions) to compute Feynman diagrams. • MadGraph 5: –Monte-Carlo

• Universal FeynRules Output (UFO):

– Load BSM model on Mathematica. Output UFO file.

– Python format compatible with most LHC event generators.

– Contains all information about the theory (e.g. particles,

parameters, vertices, etc.)

• Automatic Language-independent Output of Helicity

Amplitudes (ALOHA):

– Input: UFO files.

– Output: library with complete set of objects (e.g. wavefunctions)

to compute Feynman diagrams.

• MadGraph 5:

– Monte-Carlo event generator.

– Input library from ALOHA. Output desired simulations (e.g.

cross sections.)

UFOs, ALOHA and MadGraph 5

6/2/2020 Diego Lopez Gutierrez | Automatic Leptonic Tensor Generation for BSM Models4

Page 5: Automatic Leptonic Tensor Generation for BSM Models · –Output: library with complete set of objects (e.g. wavefunctions) to compute Feynman diagrams. • MadGraph 5: –Monte-Carlo

• UFO + ALOHA + MadGraph 5:

– Problem solved only for LHC physics.

• My project:

– Develop a similar automatization process for neutrino BSM

models.

– Use of UFO files as starting point to compute Feynman rules of

BSM theories.

– More specifically:

• Automatic calculation of leptonic tensor for neutrino calculations.

• Lepton tensor + Hadronic tensor → Measurable quantities.

Our Project

6/2/2020 Diego Lopez Gutierrez | Automatic Leptonic Tensor Generation for BSM Models5

UFO + Our project

Lepton tensor

Event generator (hadronic tensor)

Measurablequantity