CP violation and flavor invariants in the seesaw effective field theory

Yu, Bingrong; Zhou, Shun

doi:10.1007/JHEP08(2022)017

CP violation and flavor invariants in the seesaw effective field theory

Bingrong Yu
(
- Beijing, Inst. High Energy Phys. and
- Beijing, GUCAS
)
,
Shun Zhou
(
- Beijing, Inst. High Energy Phys. and
- Beijing, GUCAS
)

Mar 18, 2022

44 pages

Published in:

JHEP 08 (2022) 017,
JHEP 08 (2022) 017

Published: Aug 1, 2022

e-Print:

2203.10121 [hep-ph]

DOI:

10.1007/JHEP08(2022)017

View in:

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Abstract: (Springer)

In this paper, we systematically study the algebraic structure of the ring of the flavor invariants and the sources of CP violation in the seesaw effective field theory (SEFT), which is obtained by integrating out heavy Majorana neutrinos in the type-I seesaw model at the tree level and thus includes the dimension-five Weinberg operator and one dimension-six operator. For the first time, we calculate the Hilbert series and explicitly construct all the primary flavor invariants in the SEFT. We show that all the physical parameters can be extracted using the primary invariants and any CP-violating observable can be expressed as the linear combination of CP-odd flavor invariants. The calculation of the Hilbert series shows that there is an equal number of primary flavor invariants in the SEFT and in the full seesaw model, which reveals the intimate connection between the flavor space of the SEFT and that of its ultraviolet theory. A proper matching procedure of the flavor invariants is accomplished between the SEFT and the full seesaw model, through which one can establish a direct link between the CP asymmetries in leptogenesis and those in low-energy neutrino oscillations.

Note:

44 pages, 4 tables, more discussions and references added, version accepted by JHEP

CP Violation
Flavour Symmetries
Neutrino Mixing
Effective Field Theories
new physics
asymmetry: CP
CP: violation
symmetry: flavor
invariance: flavor
flavor: violation

References(82)

Figures(0)

Violation of CP Invariance, C asymmetry, and baryon asymmetry of the universe

A.D. Sakharov
(
- Lebedev Inst.
)

- Pisma Zh.Eksp.Teor.Fiz. 5 (1967) 32-35,
- JETP Lett. 5 (1967) 24-27,
- Sov.Phys.Usp. 34 (1991) 5, 392-393,
- Usp.Fiz.Nauk 161 (1991) 5, 61-64
•
DOI:
- 10.1070/PU1991v034n05ABEH002497

Baryogenesis from the weak scale to the grand unification scale

Dietrich Bodeker
(
- Bielefeld U.
)
,
Wilfried Buchmuller
(
- DESY
)

- Rev.Mod.Phys. 93 (2021) 3, 3
•
e-Print:
- 2009.07294
•
DOI:
- 10.1103/RevModPhys.93.035004

Evidence for the $2\pi$ Decay of the $K_2^0$ Meson

- Phys.Rev.Lett. 13 (1964) 138-140,
- Also in *Wolfenstein, L. (ed.): CP violation* 14-16. (see Book Index),
- In *Lichtenberg, D. B. (Ed.), Rosen, S. P. (Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 224-226.
•
DOI:
- 10.1103/PhysRevLett.13.138

Observation of Direct CP Violation in $K_{S,L} \to \pi \pi$ Decays

KTeV

Collaboration

•

A. Alavi-Harati
(
- U. Wisconsin, Madison (main)
)

et al.

- Phys.Rev.Lett. 83 (1999) 22-27
•
e-Print:
- hep-ex/9905060
•
DOI:
- 10.1103/PhysRevLett.83.22

Observation of CP violation in the $B^0$ meson system

BaBar

Collaboration

•

Bernard Aubert
(
- Annecy, LAPTH
)

et al.

- Phys.Rev.Lett. 87 (2001) 091801
•
e-Print:
- hep-ex/0107013
•
DOI:
- 10.1103/PhysRevLett.87.091801

[6]

Flavor structures of charged fermions and massive neutrinos

Zhi-zhong Xing
(
)

- Phys.Rept. 854 (2020) 1-147
•
e-Print:
- 1909.09610
•
DOI:
- 10.1016/j.physrep.2020.02.001

[7]

Leptonic CP Violation

G.C. Branco
(
- Lisbon, IST and
- Lisbon, CFTP and
- CERN
)
,
R.Gonzalez Felipe
(
- Lisbon, IST and
- Lisbon, CFTP and
- Lisbon, ISEL
)
,
F.R. Joaquim
(
- Lisbon, IST and
- Lisbon, CFTP
)

- Rev.Mod.Phys. 84 (2012) 515-565
•
e-Print:
- 1111.5332
•
DOI:
- 10.1103/RevModPhys.84.515

Physics potential of a long-baseline neutrino oscillation experiment using a J-PARC neutrino beam and Hyper-Kamiokande

Hyper-Kamiokande Proto-

Collaboration

•

K. Abe
(
- Tokyo U., ICRR and
- Tokyo U. and
- Tokyo U., IPMU
)

et al.

- PTEP 2015 (2015) 053C02
•
e-Print:
- 1502.05199
•
DOI:
- 10.1093/ptep/ptv061

Long-Baseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) : Conceptual Design Report, Volume 2: The Physics Program for DUNE at LBNF

DUNE

Collaboration

•

R. Acciarri
(
- Fermilab
)

et al.

e-Print:
- 1512.06148

Physics potentials with the second Hyper-Kamiokande detector in Korea

Hyper-Kamiokande

Collaboration

•

K. Abe
(
- Kamioka Observ. and
- Tokyo U., IPMU
)

et al.

- PTEP 2018 (2018) 6, 063C01
•
e-Print:
- 1611.06118
•
DOI:
- 10.1093/ptep/pty044

Search for CP Violation in Neutrino and Antineutrino Oscillations by the T2K Experiment with $2.2\times10^{21}$ Protons on Target

T2K

Collaboration

•

K. Abe
(
- Kamioka Observ.
)

et al.

- Phys.Rev.Lett. 121 (2018) 17, 171802
•
e-Print:
- 1807.07891
•
DOI:
- 10.1103/PhysRevLett.121.171802

[12]

Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of Maximal CP Nonconservation

C. Jarlskog
(
- Bergen U. and
- Stockholm U.
)

- Phys.Rev.Lett. 55 (1985) 1039
•
DOI:
- 10.1103/PhysRevLett.55.1039

[13]

A Basis Independent Formulation of the Connection Between Quark Mass Matrices, CP Violation and Experiment

C. Jarlskog
(
- CERN and
- Stockholm U. and
- Bergen U.
)

- Z.Phys.C 29 (1985) 491-497
•
DOI:
- 10.1007/BF01565198

[14]

Matrix Representation of Symmetries in Flavor Space, Invariant Functions of Mass Matrices and Applications

C. Jarlskog
(
- Stockholm U.
)

- Phys.Rev.D 35 (1987) 1685
•
DOI:
- 10.1103/PhysRevD.35.1685

[15]

CP Violation in the Renormalizable Theory of Weak Interaction

Makoto Kobayashi
(
- Kyoto U.
)
,
Toshihide Maskawa
(
- Kyoto U.
)

- Prog.Theor.Phys. 49 (1973) 652-657,
- Also in *Lichtenberg, D. B. (Ed.), Rosen, S. P. (Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 218-223.
•
DOI:
- 10.1143/PTP.49.652

[16]

CP Restrictions on Quark Mass Matrices

- Phys.Lett.B 169 (1986) 243-247,
- CERN Geneva - TH. 4329 (85,REC.DEC.) 8p,
- Phys. Lett. B169 (1986) 243-247 and CERN Geneva - TH. 4329 (85,REC.DEC.) 8p
•
DOI:
- 10.1016/0370-2693(86)90659-3