We investigate simplified models in which dark matter particles, taken to be
either Dirac or Majorana fermions, couple to quarks via colored mediators. We
determine bounds from colliders and direct detection experiments, and show how
the interplay of the two leads to a complementary view of this class of dark
matter models. Forecasts for future searches in light of the current
constraints are presented.Comment: 12 pages, 13 figures (39 images) Fixed erroneous calculation and
  updated plot

DiFranzo, Anthony

Nagao, Keiko I.

Rajaraman, Arvind

Tait, Tim M. P.

Journal of High Energy Physics

English

arXiv

Anthony DiFranzo

Keiko I. Nagao

Arvind Rajaraman

Tim M. P. Tait

Crossref

Erratum: Simplified models for dark matter interacting with quarks

We investigate simplified models in which dark matter particles, taken to be either Dirac or Majorana fermions, couple to quarks via colored mediators. We determine bounds from colliders and direct detection experiments, and show how the interplay of the two leads to a complementary view of this class of dark matter models. Forecasts for future searches in light of the current constraints are presented. © SISSA 2013

Nagao, Keiko I

Tait, Tim MP

eScholarship - University of California

Simplified models for dark matter interacting with quarks

Springer - Publisher Connector

Tim M.P. Tait

J
H
E
P01(2014)162
Published for SISSA by Springer
Received: December 30, 2013
Accepted: December 31, 2013
Published: January 29, 2014
Erratum: Simplified models for dark matter
interacting with quarks
Anthony DiFranzo,a Keiko I. Nagao,b,c Arvind Rajaramana and Tim M.P. Taita
aDepartment of Physics and Astronomy, University of California,
4129 Frederick Reines Hall, Irvine, CA 92697-4575, U.S.A.
bTheory Center, KEK,
1-1 Oho, Tsukuba, Ibaraki 305-0801, Japan
cDepartment of Engineering Science, Niihama National College of Technology,
7-1 Yagumo, Niihama, Ehime 792-8580, Japan
E-mail: adifranz@uci.edu, nagao@sci.niihama-nct.ac.jp,
arajaram@uci.edu, ttait@uci.edu
Erratum to: JHEP11(2013)014
ArXiv ePrint: 1308.2679
A term was erroneously dropped during the derivation of the direct detection cross
section calculation. The error is first seen in eq. (3.2) and is carried through all of the
equations in section 3.2. Equations (3.2)–(3.14) should be replaced as follows:
M≈ (−igDM )2(χ¯PRu)
−i
M2u˜ −M2χ
(u¯PLχ) (3.2)
M = ig
2
DM
M2u˜ −M2χ
1
2
(χ¯γµPLχ)(u¯γµPRu) (3.3)
=
ig2
DM
M2u˜ −M2χ
1
8
[
(χ¯γµχ)(u¯γµu)−
(
χ¯γµγ5χ
)
(u¯γµγ5u)
+
(
χ¯γµγ5χ
)
(u¯γµu)− (χ¯γµχ)(u¯γµγ5u)
]
(3.4)
≈ ig
2
DM
M2u˜ −M2χ
1
8
[
(χ¯γµχ)(u¯γµu)−
(
χ¯γµγ5χ
)
(u¯γµγ5u)
]
. (3.5)
Open Access, c© The Authors.
Article funded by SCOAP3.
doi:10.1007/JHEP01(2014)162
J
H
E
P01(2014)162
For Dirac dark matter:
σuRSI =
1
64pi
M2NM
2
χ(
MN +Mχ
)2 g4DM(
M2u˜ −M2χ
)2 (1 + ZA
)2
(3.6)
σuRSD =
3
64pi
M2NM
2
χ(
MN +Mχ
)2 g4DM(
M2u˜ −M2χ
)2 (∆uN )2 (3.7)
σdRSI =
1
64pi
M2NM
2
χ(
MN +Mχ
)2 g4DM(
M2
d˜
−M2χ
)2 (2− ZA
)2
(3.8)
σdRSD =
3
64pi
M2NM
2
χ(
MN +Mχ
)2 g4DM(
M2
d˜
−M2χ
)2 (∆dN + ∆sN)2 (3.9)
σqLSI =
9
64pi
M2NM
2
χ(
MN +Mχ
)2 g4DM(
M2q˜ −M2χ
)2 (3.10)
σqLSD =
3
64pi
M2NM
2
χ(
MN +Mχ
)2 g4DM(
M2q˜ −M2χ
)2 (∆uN + ∆dN + ∆sN)2 . (3.11)
For Majorana dark matter:
σuRSD =
3
16pi
M2NM
2
χ(
MN +Mχ
)2 g4DM(
M2
d˜
−M2χ
)2 (∆uN)2 (3.12)
σdRSD =
3
16pi
M2NM
2
χ(
MN +Mχ
)2 g4DM(
M2
d˜
−M2χ
)2 (∆dN + ∆sN)2 (3.13)
σqLSD =
3
16pi
M2NM
2
χ(
MN +Mχ
)2 g4DM(
M2
d˜
−M2χ
)2 (∆uN + ∆dN + ∆sN)2 . (3.14)
This change also propagates to the figures in the paper. For low dark matter mass
little changes, however at higher masses deviations are seen. The figures in this erratum
should replace those in the original paper. Thus, for accuracy the last paragraph on page 6
should now read, “. . . we observe the expected behavior where the curves of constant gDM
go like
(
M2χ −M2q˜
)−2
, similar to the dependence of the direct detection cross section on
the two masses.” Despite these alterations, there is no qualitative change in our results
and therefore no additional changes are necessary.
Open Access. This article is distributed under the terms of the Creative Commons
Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in
any medium, provided the original author(s) and source are credited.
– 2 –
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(a)
(b)
(c)
Figure 1. Bounds on the the coupling g
DM
for each of the three simplified models with Dirac
Dark Matter, from the CMS collider bounds. (a) is the uR model, (b) the dR model, and (c) is the
qL model.
– 3 –
J
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P01(2014)162
(a)
(b)
(c)
Figure 2. Bounds on the the coupling g
DM
for all three models with Majorana Dark Matter, from
the CMS collider bounds.
– 4 –
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P01(2014)162
(a)
(b)
(c)
Figure 3. Bounds on the the coupling g
DM
for all three models with Dirac Dark Matter, from the
spin-independent XENON100 Limits.
– 5 –
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P01(2014)162
(a)
(b)
(c)
Figure 4. Dirac Dark Matter bounds on g
DM
from the spin-indepedent XENON10 Limits.
– 6 –
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P01(2014)162
(a)
(b)
(c)
Figure 5. Bounds on g
DM
from neutron-WIMP spin-dependent XENON100 Limits on Majorana
Dark Matter.
– 7 –
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P01(2014)162
(a)
(b)
(c)
Figure 6. The combined lowest bounds on g
DM
from CMS, XENON100, and XENON10 for Dirac
Dark Matter.
– 8 –
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P01(2014)162
(a)
(b)
(c)
Figure 7. The combined lowest limit on g
DM
from CMS and XENON100 for Majorana
Dark Matter.
– 9 –
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(a)
(b)
(c)
Figure 8. The predicted maximum spin-dependent neutron-DM cross section from the combined
Collider and Direct Detection bounds for Dirac Dark Matter.
– 10 –
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(a)
(b)
(c)
Figure 9. The predicted maximum spin-dependent proton-DM cross section from the combined
Collider and Direct Detection bounds for Dirac Dark Matter.
– 11 –
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(a)
(b)
(c)
Figure 10. The predicted maximum spin-dependent neutron-DM cross section from the combined
Collider and Direct Detection bounds for Majorana Dark Matter.
– 12 –
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(a)
(b)
(c)
Figure 11. The predicted maximum spin-dependent proton-DM cross section from the combined
Collider and Direct Detection bounds for Majorana Dark Matter.
– 13 –
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(a)
(b)
(c)
Figure 12. The predicted maximum annihilation cross section from the combined Collider and
Direct Detection bounds for Dirac Dark Matter.
– 14 –
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(a)
(b)
(c)
Figure 13. The predicted maximum annihilation cross section from the combined Collider and
Direct Detection bounds for Majorana Dark Matter.
– 15 –


Simplified Models for Dark Matter Interacting with Quarks

Simplified Models for Dark Matter Interacting with Quarks

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