Novel Theories Of Dark Matter

Sharma, Anushrut

Novel Theories Of Dark Matter

Anushrut Sharma
(
- Pennsylvania U.
)

Sep 12, 2022

24 pages

Supervisor:

Justin Khoury
(
- Pennsylvania U.
)

Thesis: PhD

UPenn, Philadelphia,
Pennsylvania U.

(2022)

Published: Sep 12, 2022

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Abstract: (UPenn, Philadelphia)

The primary aim of this thesis is to explore new theories of dark matter (DM) that reproduce the MOdified Newtonian Dynamics (MOND) phenomenology on galactic scales while preserving the success of the standard Lambda-Cold Dark Matter model on cosmological scales. We begin with a brief survey of the DM problem and note the various challenges posed to Cold Dark Matter (CDM) on small, galactic scales, especially the empirical scaling relations for disk galaxies. We then study the theory of superfluid DM to see how it can provide a solution to these small-scale challenges. The superfluid phonons are described by a MOND-like Lagrangian and mediate a MONDian acceleration between baryons. We then derive the finite-temperature equation of state of DM superfluids with 2-body and 3-body contact interactions. The calculation uses a self-consistent mean-field approximation and relies on the Hartree-Fock-Bogoliubov approximation. Crucially, our approach uses the recent Yukalov-Yukalova proposal of using two chemical potentials to circumvent the well-known Hohenberg-Martin dilemma. Next we propose a theory of DM in which the MOND empirical law is the result of short-ranged interactions between baryons and ‘Baryon-Interacting Dark Matter’(BIDM), which heat up the DM. Following a bottom-up, hydrodynamical approach, we find that the MOND empirical law follows if: i) the BIDM equation of state approximates that of an ideal gas ii) the BIDM relaxation time is order the Jeans time; iii) the heating rate is inversely proportional to the BIDM density. Subsequently we revisit the problem of describing a BEC through a scalar field exhibiting spontaneous symmetry breaking. We perform a self-consistent relativistic calculation using the techniques of thermal field theory to resolve this problem in the two chemical potential framework. Finally, we work out the effective field theory description of a superfluid at temperatures close to zero, starting from the microphysics of a Bose gas having n-body contact interactions.

potential: chemical
superfluid: phonon
dark matter: equation of state
equation of state: finite temperature
field theory: thermal
MOND
mean field approximation
effective field theory

References(456)

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[1]

Search for new phenomena in final states with an energetic jet and large missing transverse momentum in $pp$ collisions at $\sqrt{s}=13$ TeV using the ATLAS detector

ATLAS

Collaboration

•

Morad Aaboud
(
- Oujda U.
)

et al.

- Phys.Rev.D 94 (2016) 3, 032005
•
e-Print:
- 1604.07773
•
DOI:
- 10.1103/PhysRevD.94.032005

[2]

Constraints on new phenomena via Higgs boson couplings and invisible decays with the ATLAS detector

ATLAS

Collaboration

•

Georges Aad
(
- Marseille, CPPM
)

et al.

- JHEP 11 (2015) 206
•
e-Print:
- 1509.00672
•
DOI:
- 10.1007/JHEP11(2015)206

[3]

Improved limits on dark matter annihilation in the Sun with the 79-string IceCube detector and implications for supersymmetry

IceCube

Collaboration

•

M.G. Aartsen
(
- Adelaide U.
)

et al.

- JCAP 04 (2016) 022
•
e-Print:
- 1601.00653
•
DOI:
- 10.1088/1475-7516/2016/04/022

[4]

Search for neutrinos from decaying dark matter with IceCube

IceCube

Collaboration

•

M.G. Aartsen
(
- Canterbury U.
)

et al.

- Eur.Phys.J.C 78 (2018) 10, 831
•
e-Print:
- 1804.03848
•
DOI:
- 10.1140/epjc/s10052-018-6273-3

[5]

A Cosmological Bound on the Invisible Axion

L.F. Abbott
(
- Brandeis U.
)
,
P. Sikivie
(
- Florida U.
)

- Phys.Lett.B 120 (1983) 133-136
•
DOI:
- 10.1016/0370-2693(83)90638-X

[6]

Dark Energy Survey year 1 results: Cosmological constraints from galaxy clustering and weak lensing

DES

Collaboration

•

T.M.C. Abbott
(
- Cerro-Tololo InterAmerican Obs.
)

et al.

- Phys.Rev.D 98 (2018) 4, 043526
•
e-Print:
- 1708.01530
•
DOI:
- 10.1103/PhysRevD.98.043526

[7]

First Cosmology Results using Type Ia Supernovae from the Dark Energy Survey: Constraints on Cosmological Parameters

DES

Collaboration

•

T.M.C. Abbott
(
- Cerro-Tololo InterAmerican Obs.
)

et al.

- Astrophys.J.Lett. 872 (2019) 2, L30
•
e-Print:
- 1811.02374
•
DOI:
- 10.3847/2041-8213/ab04fa

[8]

Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing. 5

T.M.C. Abbott

[9]

Search for $\gamma$ -Ray Line Signals from Dark Matter Annihilations in the Inner Galactic Halo from 10 Years of Observations with H.E.S.S.

HESS

Collaboration

•

H. Abdallah
(
- Potchefstroom U.
)

et al.

- Phys.Rev.Lett. 120 (2018) 20, 201101
•
e-Print:
- 1805.05741
•
DOI:
- 10.1103/PhysRevLett.120.201101

[10]

A Search for Dark Matter in the Galactic Halo with HAWC

HAWC

Collaboration

•

A.U. Abeysekara
(
- Utah U.
)

et al.

- JCAP 02 (2018) 049
•
e-Print:
- 1710.10288
•
DOI:
- 10.1088/1475-7516/2018/02/049

[11]

Design concepts for the Cherenkov Telescope Array CTA: An advanced facility for ground-based high-energy gamma-ray astronomy

M. Actis
(
- La Plata U.
)
,
G. Agnetta
(
- IASF, Palermo
)
,
F. Aharonian
(
- Dublin Inst.
)
,
A. Akhperjanian
(
- Yerevan Phys. Inst.
)
,
J. Aleksic
(
- Barcelona, IFAE
)

et al.

- Exper.Astron. 32 (2011) 193-316
•
e-Print:
- 1008.3703
•
DOI:
- 10.1007/s10686-011-9247-0

[12]

Planck 2015 results. I. Overview of products and scientific results

Planck

Collaboration

•

R. Adam
(
- LPSC, Grenoble
)

et al.

- Astron.Astrophys. 594 (2016) A1
•
e-Print:
- 1502.01582
•
DOI:
- 10.1051/0004-6361/201527101

[13]

UV completion of a theory of Superfluid Dark Matter

A. Addazi
,
A. Marciano

[14]

Planck 2015 results. XIII. Cosmological parameters

Planck

Collaboration

•

P.A.R. Ade
(
- Cardiff U.
)

et al.

- Astron.Astrophys. 594 (2016) A13
•
e-Print:
- 1502.01589
•
DOI:
- 10.1051/0004-6361/201525830

[15]

Limits on Dark Matter Annihilation in the Sun using the ANTARES Neutrino Telescope

ANTARES

Collaboration

•

S. Adrian-Martinez
(
- Valencia, Polytechnic U.
)

et al.

- Phys.Lett.B 759 (2016) 69-74
•
e-Print:
- 1603.02228
•
DOI:
- 10.1016/j.physletb.2016.05.019

[16]

Planck 2018 results. I. Overview and the cosmological legacy of Planck

Planck

Collaboration

•

N. Aghanim
(
- Orsay, IAS
)

et al.

- Astron.Astrophys. 641 (2020) A1
•
e-Print:
- 1807.06205
•
DOI:
- 10.1051/0004-6361/201833880

[17]

Planck 2018 results. VI. Cosmological parameters

Planck

Collaboration

•

N. Aghanim
(
- Orsay, IAS
)

et al.

- Astron.Astrophys. 641 (2020) A6,
- Astron.Astrophys. 652 (2021) C4 (erratum)
•
e-Print:
- 1807.06209
•
DOI:
- 10.1051/0004-6361/201833910

[18]

First Dark Matter Constraints from a SuperCDMS Single-Charge Sensitive Detector

SuperCDMS

Collaboration

•

R. Agnese
(
- Florida U.
)

et al.

- Phys.Rev.Lett. 121 (2018) 5, 051301,
- Phys.Rev.Lett. 122 (2019) 6, 069901 (erratum)
•
e-Print:
- 1804.10697
•
DOI:
- 10.1103/PhysRevLett.121.051301

[18]

First Dark Matter Constraints from a SuperCDMS Single-Charge Sensitive Detector

SuperCDMS

Collaboration

•

R. Agnese
(
- Florida U.
)

et al.

- Phys.Rev.Lett. 121 (2018) 5, 051301,
- Phys.Rev.Lett. 122 (2019) 6, 069901 (erratum)
•
e-Print:
- 1804.10697
•
DOI:
- 10.1103/PhysRevLett.121.051301