EDM Implications for BSM Physics December 8th, 2018 ACFI Workshop K. Fuyuto, M. Ramsey-Musolf, T. Shen, PLB788(2019)52 J. de Vries, P. Draper, K.Fuyuto, J. Kozaczuk and D. Sutherland, 1809.10143 K. Fuyuto, X-G He, G. Li and M. Ramsey-Musolf, work in Progress Kaori Fuyuto University of Massachusetts, Amherst
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EDM Implications for BSM Physics · CPV interactions in New Physics New physics generally contains CP phases. My talk discusses - What kind of CPV interactions are in BSM - EDM constraints
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EDM Implications for BSM Physics
December 8th, 2018 ACFI Workshop
K. Fuyuto, M. Ramsey-Musolf, T. Shen, PLB788(2019)52 J. de Vries, P. Draper, K.Fuyuto, J. Kozaczuk and D. Sutherland, 1809.10143 K. Fuyuto, X-G He, G. Li and M. Ramsey-Musolf, work in Progress
Kaori Fuyuto
University of Massachusetts, Amherst
CPV interactions in New Physics New physics generally contains CP phases.
My talk discusses
- What kind of CPV interactions are in BSM
- EDM constraints on CP phases
✔ Leptoquark
✔ Dark Photon
- Implication for QCD theta term
Leptoquark
Leptoquark Leptoquark couples to quark and lepton
a, b : Flavor indices �u,e : Complex
X =
✓VY
◆Scalar LQ : (3,2, 7/6)
Epsilon tensor : ✏12 = 1
L � ��abu uaXT ✏Lb � �ab
e eaX†Qb + h.c.=
J. M. Arnold, B. Fornal and M. B. Wise, Phys. Rev. D 88, 035009 (2013)J. M. Arnold, B. Fornal and M. B. Wise, Phys. Rev. D 87, 075004 (2013)I. Dorsner, S. Fajfer, A. Greljo, J. F. Kamenik and N. Kosnik, Phys. Rept. 641, 1 (2016)
✔ Sources for two CP-violating interactions
Leptoquark Two CP-violating interactions are induced:
Semileptonic 4-fermi interaction Electron EDM
L = � i
2dee�
µ⌫�5eFµ⌫ � 1
⇤2
C(1)
lequLjeR✏jkQ
kuR + h.c.
�
�
ua
V
�u �e
eL eR
J. M. Arnold, B. Fornal and M. B. Wise, Phys. Rev. D 88, 035009 (2013)J. M. Arnold, B. Fornal and M. B. Wise, Phys. Rev. D 87, 075004 (2013)I. Dorsner, S. Fajfer, A. Greljo, J. F. Kamenik and N. Kosnik, Phys. Rept. 641, 1 (2016)
V
eR uR
�u�e
Q L1-loop Tree-level
Leptoquark Two CP-violating interactions are induced:
L = � i
2dee�
µ⌫�5eFµ⌫
Electron EDM
� 1
⇤2
C(1)
lequLjeR✏jkQ
kuR + h.c.
�
1-loop Tree-level
4-fermi interaction can be larger than electron EDM.
J. M. Arnold, B. Fornal and M. B. Wise, Phys. Rev. D 88, 035009 (2013)J. M. Arnold, B. Fornal and M. B. Wise, Phys. Rev. D 87, 075004 (2013)I. Dorsner, S. Fajfer, A. Greljo, J. F. Kamenik and N. Kosnik, Phys. Rept. 641, 1 (2016)
Semileptonic 4-fermi interaction
�
ua
V
�u �e
eL eR
V
eR uR
�u�e
Q L
Leptoquark Two CP-violating interactions are induced:
L = � i
2dee�
µ⌫�5eFµ⌫
Electron EDM
� 1
⇤2
C(1)
lequLjeR✏jkQ
kuR + h.c.
�
1-loop Tree-level
J. M. Arnold, B. Fornal and M. B. Wise, Phys. Rev. D 88, 035009 (2013)J. M. Arnold, B. Fornal and M. B. Wise, Phys. Rev. D 87, 075004 (2013)I. Dorsner, S. Fajfer, A. Greljo, J. F. Kamenik and N. Kosnik, Phys. Rept. 641, 1 (2016)
Semileptonic 4-fermi interaction
�
ua
V
�u �e
eL eR
V
eR uR
�u�e
Q L
� 1
2⇤2Im
⇣C(1)
lequ
⌘ei�5e uu
Leptoquark Two CP-violating interactions are induced:
L = � i
2dee�
µ⌫�5eFµ⌫
Electron EDM Electron-nucleon interaction
�GFp2CS ei�5e NN
Constrained by EDM measurements in paramagnetic systems ✔ Polar molecule systems
J. M. Arnold, B. Fornal and M. B. Wise, Phys. Rev. D 88, 035009 (2013)J. M. Arnold, B. Fornal and M. B. Wise, Phys. Rev. D 87, 075004 (2013)I. Dorsner, S. Fajfer, A. Greljo, J. F. Kamenik and N. Kosnik, Phys. Rept. 641, 1 (2016)
�
ua
V
�u �e
eL eR
V
eR uR
�u�e
Q L
Analytic formula
- Electron-nucleon interaction
CS ' gSv2
2m2V
Im��11u �11
e
� gS = 6.3J. Engel, M. J. Ramsey-Musolf andU. van Kolck, Prog. Part. Nucl. Phys. 71, 21 (2013)
e e
�V
u
✔ Up-quark contribution
CS , de / Im��11u �11
e
�
de = �emuaNC
32⇡2m2V
Im��a1�1a
� 23I2
✓m2
ua
m2V
◆+
5
3J2
✓m2
ua
m2V
◆�- Electron EDM
Loop function I2, J2 :
u e
mV : LQ mass
Analytic formula
✔ Up-quark contribution
CS dominates the systems!
de↵jCS
⇠ O(10�2)
de = �emuaNC
32⇡2m2V
Im��a1�1a
� 23I2
✓m2
ua
m2V
◆+
5
3J2
✓m2
ua
m2V
◆�- Electron EDM
Loop function I2, J2 :
u e
mV : LQ mass
- Electron-nucleon interaction
CS ' gSv2
2m2V
Im��11u �11
e
� gS = 6.3J. Engel, M. J. Ramsey-Musolf andU. van Kolck, Prog. Part. Nucl. Phys. 71, 21 (2013)
Current experimental values :
Effective EDM : dj ⌘ de + ↵jCS
↵ThO(HfF+) = 1.5(0.9)⇥ 10�20 e cm
V. Andreev et al. [ACME Collaboration], Nature 562(2018)7727
|de| < 1.1⇥ 10�29 e cm
ThO : dThO = (4.3± 4.0)⇥ 10�30 e cm
Sole source:
W. B. Cairncross et al., PRL. 119, no. 15, 153001 (2017)
|de| < 1.3⇥ 10�28 e cm
HfF+ : dHfF+ = (0.9± 7.9)⇥ 10�29 e cm
Sole source:
Current limit on de and CS
|de| . 10�31 e cm
Current limit
Result Blue region:
Allowed at 90% C.L.
Black lines:
Predictions of de |de| = 10�29,30,31 e cm
Im��11u �11
e
�=
���11u �11
e
�� sin ✓ue
Result Blue region:
Allowed at 90% C.L.
Black lines:
Predictions of de |de| = 10�29,30,31 e cm
LQ Model : de < CS
Im��11u �11
e
�=
���11u �11
e
�� sin ✓ue
Result Up-quark EDM and cEDM
u ue
V � , g
Green : Neutron
Orange : Proton
dp,n ⇠ 10�32 e cm
Nonzero dp,n point to different CPV sources.
* Comparable to SM values
QCD theta term
2. IR Solution R. Peccei and H. R. Quinn, Phys.Rev.Lett. 38 (1977) 1440R. Peccei and H. R. Quinn, Phys.Rev. D16 (1977) 1791{1797.a : Axion ✓ ! a/fa
Ex) Peccei-Quinn Symmetry
QCD theta term
“Strong CP problem”
QCD theta term : L = ✓↵s
8⇡Gµ⌫G
µ⌫
✓ . 10�10From neutron EDM limit :
1. UV Solution A.E. Nelson, PLB136 (1984) 387, S. M. A. Barr, PRD30(1984)1805. S. M. Barr, PRD30(1984)1805
at UV, but at some scale. ✓ = 0
Ex) Nelson-Barr models
(⇡ 10�10)✓ 6= 0
Dimension 6 operators New Physics : Dimension 6 operators
For example, OuB = Q�µ⌫uRHBµ⌫
H
u uOuB
✓ ⇠ �✓ ⇠ 1
16⇡2⇤2CuB⇤
2
Quadratic divergence
� 10�10
They give large threshold corrections to theta term.
If experiments, EDMs r colliders, see any sing of dim 6 operators, it might point to IR solution.
See DM predictions n pure theta scenario
dHg and dRa as a function of dn
�1.0 �0.5 0.0 0.5 1.0dn [10�26 e cm]
�0.75
�0.50
�0.25
0.00
0.25
0.50
0.75
d X[1
0�26
ecm
]
dHg ⇥ 100dRa
dHg x 100
dRa
Inside of color regions is prediction in pure theta scenario. * Theoretical uncertainties give a spread of region.
Predictions of pure theta scenario
Predictions of pure theta scenario dHg and dRa as a function of dn
�1.0 �0.5 0.0 0.5 1.0dn [10�26 e cm]
�0.75
�0.50
�0.25
0.00
0.25
0.50
0.75
d X[1
0�26
ecm
]
dHg ⇥ 100dRa
dHg x 100
dRa
Inside of color regions is prediction in pure theta scenario. Outside of color regions point to other BSM CP sources.
�1.0 �0.5 0.0 0.5 1.0dn [10�26 e cm]
�3
�2
�1
0
1
2
3
d X[1
0�26
ecm
]
dp
dD
dHe
dp , dD and dHe as a function of dn
dHe
dD
dp
EDM measurements would give implication for strong CP problem.
Predictions of pure theta scenario
Conclusion
de ⌧ CS
Leptoquark : Electron EDM and e-N interaction
CS is dominant source.
* Sole-source limit is not available.
Dark Photon : Dimension 5 operators �
⇤Tr [Wµ⌫⌃] Xµ⌫ Examined by EDMs.
* Induced by light degree of freedom
QCD theta term : Unique EDM predictions
Looking for various EDMs is necessary.* Implication for solution to strong CP problem