Pratical info

Emails: 

• roberto.contino@uniroma1.it

• m.nardecchia@uniroma1.it

Time schedule:

• Wednesday, 14-16, aula 4, Fermi building

• Friday, 9-12, aula Careri, Marconi building

Office hours R. Contino: on Thursdays at 16:00 in my office (n. 235 on second floor in Marconi building) 

Office hours M. Nardecchia: any time but better to send an email or arrange it with me

Google Classroom code: ewowi3i

Lectures

Lectures by prof. Contino

1. 27/09/2023 [2h]: Introduction to the course. Introduction to the SM as an EFT: field content and quantum numbers; terms of the renormalizable Lagrangian, SM as a chiral (as opposed to vectorlike) theory, spinors in 2-component notation, Majorana and Dirac mass terms (and why they are forbidden in the SM); Higgs potential and spontaneous breaking of the EW symmetry. [Sc], [CL], [Ps]

2. 28/09/2023 [3h]: Derivation of all masses and couplings at tree level in the unitary gauge; diagonalization of Yukawa matrices and origin of CKM matrix, absence of flavor-changing neutral interactions; xi gauges and why they are useful. [CL], [Sc], [Ps]

3. 4/10/2023 [2h]: Introduction to Effective Field Theory: the role of locality and analiticity, simple examples of matching at tree-level and 1-loop, non-decoupling effects. [GeEFT], [DBK], [Man]

4. 5/10/2023 [3h]: Fourth family as an example of non-decoupling theory.  Using EFT at loop level, comparison with the Wilsonian EFT, calculable and uncalculable effects. [Do]  Matching EFT to known UV theories, equations of motion as a way to simplify the list of effective operators. [GeEFT], [DBK], [Man]

5. 11/10/2023 [2h]: An explicit example of Matching and Running: a theory with one light real (pseudo)scalar and one heavy Dirac fermion. Classification of effective operators, matching at leading order, appearance of large logs. [GeEFT], [DBK], [Man]

6. 12/10/2023 [3h]: Sketch of matching at next-to-leading order: the fate of large logs and their resummation through the RG, RG-improved perturbation theory. [GeEFT], [DBK], [Man] Effective field theory for unknown UV theories: estimating the effective coefficients by means of power counting and spurion arguments; example of the dipole operator in QED.

7. 18/10/2023 [2h]: Validity of the EFT approach: example of the Fermi theory. The SM as an EFT: overview of different classes of effective operators in SMEFT. Symmetries of the SM renormalizable Lagrangian: baryon and lepton numbers; anomalies. [We2], [Sc]

8. 19/10/2023 [3h]: Anomaly-free matter content: vectorlike and (pseudo)real representations; anomaly of baryon and lepton numbers; cancellation of gauge anomalies in the SM; anomalous U(1) axial in QCD. Accidental symmetry of the SM, Weinberg operator and neutrino masses. [We2]

9. 25/10/2023 [2h]: Extending the SM with right-handed neutrinos, see-saw mechanism for neutrino masses; Majorana vs Dirac neutrinos, neutrino-less double beta decay. SU(5) Grand Unification Theory: embedding SM fields into SU(5) multiplets, hypercharge quantization, spontaneous breaking of SU(5) to the SM gauge group. [CL]

10. 26/10/2023 [3h]: SU(5) GUT: doublet-triplet splitting problem and hierarchy problem; running of gauge couplings and their unification at high energy; baryon-number violation and proton decay; accidental (B-L); unification of down-quark and lepton Yukawa couplings. [CL] Custodial symmetry as an approximate accidental symmetry of the SM and the rho parameter.  [Sc]

Lectures by prof. Nardecchia

11. 2/11/2023 [3h]: General discussion on the second part of the course.  Dimensional analysis, relevant energy scales. Muon decay width estimate and computation of the matrix element. [Sa]  

12. 8/11/2023 [2h]: Muon decay, end of the computation of the matrix element, phase space discussion and integration. [Sa] Rules to construct models, Gell-Mann totalitarian principle. QED the most general lagrangian [GT].

13. 9/11/2023 [3h]: Counting of the physical parameters. Applications to QED, lepton and quark sectors of the Standard Model. Proof of the singular value decomposition. [GT]

14. 15/11/2023 [2h]: Discrete symmetries, C, P, CP. Trasformation properties of states and fields. [We1]

15. 16/11/2023 [3h]: Flavour and CP violation in the Standard Model. CKM matrix and its parametrizations. Unitarity Triangle. [GT]

16. 22/11/2023 [2h]:  Exmples of FV in beyond the SM. 2HDM and flavour violation in the Z couplings. [GT]

17. 23/11/2023 [3h]: FCNC at one loop. GIM mechanism at the quark level. Running coupling constant in QCD [GT] 

18. 30/11/2023 [3h]: Gell-Mann Levy method to derive the divergence of a current. Excat symmetries of QCD in the chiral limit. Left/Right Currents and Vector/Axial currents. Explicit breaking of the chiral symmetry by the mass terms. Parity doubling of the hadron spectra, spontaneus symmmetry breaking of the chiral group. [ScSc] sections 1 and 2.

19. 7/12/2023 [3h]: Chiral condensate. Non-linear transformation of the Goldstone bosons under the chiral group. Chiral lagrangian. Leading order of the chiral lagrangina O(p^2) including gauging and mass effect. [P] sez. 4.1

20. 13/12/2023 [2h]: Chiral currents in terms of GB scalar fields. Leptonic decay of charged pions. Mass supression due to conservation of angluar momentum.

21. 14/12/2023 [3h]: Charged pions decay as test of lepton flavour universality. Leptonic decays of Kaons, differnce between fK and fPi. Some comments about the chiral lagrangian at order (p^4).  Semileptonic decays of light hadrons.

22. 20/12/2023 [2h]: Vud extraction from data using various processes (beta nucelear decay, neutron decay and charged pion beta decay). 

23. 21/12/2023 [3h]: 

24. 10/1/2024 [2h]: 

25. 11/1/2024 [3h]: 

References

• [CoAT] R. Contino, CERN Academic Training Lectures on Electroweak Symmetry Breaking

On Effective Field Theory

• [GeEFT] H. Georgi, "Effective Field Theory" Ann. Rev. Nucl. Part. Sci. 43 (1993) 209

• [DBK] D. B. Kaplan, Lectures on Effective Field Theory, GGI School on Fundamental Interactions, 2016 (video, notes);  "Five Lectures on Effective Field Theory, 17th National Nuclear Physics Summer School, Berkely, arXiv:nucl-th/0510023

• [Man] A. Manohar, Lectures at the Les Houches 2017 summer school, arXiv:1804.05863

On Naturalness and the Hierarchy Problem

• 't Hooft "Naturalness, chiral symmetry and spontaneous chiral symmetry breaking" in Recent Developments in Gauge Theories, Cargese Lectures, 1979

• Barbieri and Giudice, NPB 306 (1988) 63

• Susskind PRD 20 (1979) 2619

• Giudice and Rattazzi, GGI Tea Breaks Focus Meeting on "Naturalness and the future of High Energy Physics", link to video and slides

• Barbieri, Strumia, hep-ph/0007265

• For a recent fit to EWPO in the SMEFT framework, see: J. de Blas et al., PoS EPS-HEP2017 (2017) 467, arXiv:1710.05402

• For recent bounds on stops and gluinos, see SUSY Summary Plots in ATL-PHYS-PUB-2022-013

On the GIM Mechanism

• Glashow, Iliopoulos Maiani, PRD 2 (1970) 1285

• Maiani, arXiv:1303.6154

• see also: [Bu], [Si]

On Electroweak Precision Tests

• LEP data and final results: hep-ex/0412015; hep-ex/0509008; arXiv:1012.2367

• Precision Tests of the Standard Electroweak Model, P. Langacker editor (World Scientific)

• Montagna, Nicrosini, Piccinini, hep-ph/9802302

• Barbieri, Cargese Lectures

• Matchev, TASI Lectures hep-ph/0402031

• HepFit: Ciuchini et al. arXiv:1306.4644; De Blas et al. arXiv:1608.01509, arXiv:1116.05354

• GFitter: Baak et al. arXiv:1107.0975

• On the determination of delta(alfa)_had: Burkhardt and Pietrzyk arXiv:1106.2991

• On Anomalous TGC: Hagiwara et al. NPB 282 (1987) 253; Gounaris et al. PRD 61 (2000) 073013

• On epsilon parameters: Altarelli, Barbieri PLB 253 (1990) 161; Altarelli, Barbieri, Caravaglios NPB 405 (1993) 3

• On S,T,W,Y: Barbieri et al. NPB 703 (2004) 127

From arXiv:

• [Do] J. Donoghue, gr-qc/9512024

• [Bu] A. Buras, arXiv:hep-ph/9806471

• [Co] R. Contino, arXiv:1005.4269

• [GT] Y. Grossmann, P. Tanedo, arXiv:1711.03624

• [Ma] S. Martin, arXiv:hep-ph/9709356

• [P] A. Pich, arXiv:hep-ph/9806303

• [ScSc] S. Scherer, R. Schindler, arXiv:hep-ph/0505265

• [Si] L. Silvestrini, arXiv:1905.00798

• [Wi] S. Willenbrock, hep-ph/0410370

• [Dr] H. K. Dreiner, H. E. Haber, S. P. Martin hep-ph/0812.1594

• [QS] C. Quigg, R. Shrock, PRD 79 (2009) 096002, arXiv:0901.3958

• [TC] L. Susskind, PRD 20 (1979) 2619, S. Weinberg, PRD 13 (1976) 974

• [Das] Das et al., PRL 18 (1967) 759

Books:

• [BLS] G. Branco, L. Lavoura, J. Silva, CP Violation

• [CL] T.P. Cheng, L.F. Li, Gauge Theory of Elementary Particle

• [DGH] J. Donoghue, E. Golowich, B. Holstein, Dynamics of the Standard Model

• [Ge] H. Georgi, Weak Interactions

• [MS] F. Mandl, G. Shaw, Quantum Field Theory

• [PS]  M. Peskin, D. Shroeder, An introduction to Quantum Field Theory

• [Sc] M. Schwartz, Quantum Field theory and the Standard Model

• [Sr] M. Srednicki, Quantum Field Theory

• [We1] S. Weinberg, Quantum Field Theory , Volume 1

• [We2] S. Weinberg, Quantum Field Theory , Volume 2

• [GK] C. Giunti, C. W. Kim, Fundamentals of Neutrino Physics and Astrophysics

Other lectures online:

• N. Cabibbo

• H. Georgi

• G. Ridolfi

• [Sa] M. Savage

• [Ba] D. Baumann

Notes, slides, plots

• Slides (powerpoint, pdf) on Higgs physics

• Plots on EWPT

More Links:

• Weak Interactions in the Standard Model and Beyond 2020/2021

• Weak Interactions in the Standard Model and Beyond 2019/2020

• European Strategy Physics Book

• [PDG] Particle Data Group

• SISSA exams, TPP

• SISSA exams, APP

• How to became a GOOD Theoretical Physicist

• ArXiv

• Inspire 

• Courses@Sapienza

• Sapienza webpage of the course

• Curriculum