Chih-Pan Wu's research while affiliated with Université de Montréal and other places

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Publications (17)


FIG. 1. Top: Averaged velocity-weighted differential cross sections dhσv χ i=dT for ionizations of xenon (black) and germanium (red) by leading-order spin-dependent (solid) and spin-independent (dashed) interactions of short (left) and long (right) range, at m χ ¼ 1 GeV and coupling constants of c 1 ¼ ¯ c 4 ¼ 1=GeV −2 and d 1 ¼ ¯ d 4 ¼ 10 −9 . Points in circles (open squares) are benchmark calculations by (MC)RRPA for xenon (germanium). Bottom: Lines are ratios of dhσv χ i=dT resulting from the SD and the SI interactions (the ¯ ξ parameters in text). Points in closed circles (open squares) are ratios of FCA to (MC)RRPA with the SD interaction for xenon (germanium). The shaded bands are due to variation of the DM velocity spectrum (see text).
FIG. 2. Top: Exclusion limits at 90% C.L. on the spin-dependent short-(left) and long-(right) range DM-electron interactions as functions of m χ derived from data of CDMSlite [34], XENON10 [2], XENON100 [4], XENON1T [11], and PandaX-II [17] data. The shaded bands are due to variation of the DM velocity spectrum (see text).
Spin-dependent dark matter-electron interactions
  • Article
  • Full-text available

September 2022

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66 Reads

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6 Citations

Physical Review D

C.-P. Liu

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Chih-Pan Wu

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Jiunn-Wei Chen

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[...]

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Henry T. Wong

Detectors with low thresholds for electron recoil open a new window to direct searches of sub-GeV dark matter (DM) candidates. In the past decade, many strong limits on DM-electron interactions have been set, but most on the one which is spin-independent (SI) of both dark matter and electron spins. In this work, we study DM-atom scattering through a spin-dependent (SD) interaction at leading order (LO), using well-benchmarked, state-of-the-art atomic many-body calculations. Exclusion limits on the SD DM-electron cross section are derived with data taken from experiments with xenon and germanium detectors at leading sensitivities. In the DM mass range of 0.1–10 GeV, the best limits set by the XENON1T experiment: σe(SD)<10−41–10−40 cm2, are comparable to the ones drawn on DM-neutron and DM-proton at slightly bigger DM masses. The detector’s responses to the LO SD and SI interactions are analyzed. In nonrelativistic limit, a constant ratio between them leads to an indistinguishability of the SD and SI recoil energy spectra. Relativistic calculations however show the scaling starts to break down at a few hundreds of eV, where the spin-orbit effects become sizable. We discuss the prospects of disentangling the SI and SD components in DM-electron interactions via spectral shape measurements, as well as having spin-sensitive experimental signatures without SI backgrounds.

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FIG. 1. Value of κ as a function of incident angle, θ, for a DM particle with a mass of 1 GeV/c 2 and a scattering cross section of 10 −30 cm 2 . The curve indicates the distribution and the dots indicate values at which the curve was sampled to calculate the signal models. The discontinuities below π/2 indicate the location of the Earth's layers, and the smooth curve above π/2 transitions to the more detailed overburden model.
FIG. 3. Comparison of the expected DM signal rates in germanium. For the DM mass chosen, 0.5 GeV/c 2 , the elastic NR signal is below the analysis threshold of 0.07 keV. The Migdal signal extends to higher energies, but at a smaller rate than the NR signal. The Migdal signal has a sharp cutoff at low energies because the valence shell was not included in the analysis. The bremsstrahlung signal extends to the same energy as the Migdal, but with a smaller expected rate. The bump above 1 keV is where the n = 2 electron shell starts contributing to the signal rate.
FIG. 4. Efficiency of the data selection criteria in Ref. [9] for both CDMSlite data periods. The black curves are the median efficiencies and the red band indicates the 1σ uncertainty band.
FIG. 5. Example of an energy spectrum from the maximum likelihood fit for a specific signal model (black dashed curve). The data (blue histogram) have been logarithmically binned and overlaid with the background models (colored solid curves). The thick black line is the sum of all the models. Normalization of the surface background model components (TL, SG and GC) are described in Section V B.
FIG. 6. Current state of low-mass DM direct detection searches, with results from CRESST [65], SuperCDMS-CPD [66], DAMIC [67], cosmic ray bounds [68] and Darkside-50 [69] for traditional elastic interaction searches. The other curves are published limits from inelastic channel searches: LUX [45], EDELWEISS [70], XENON1T [71], CDEX [72], COSINE-100 [73] and this result. The neutrino discovery limit at the bottom is a modification from Ref. [74], with a detection threshold reduced to 0 eV.
A Search for Low-mass Dark Matter via Bremsstrahlung Radiation and the Migdal Effect in SuperCDMS

March 2022

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237 Reads

In this paper, we present a re-analysis of SuperCDMS data using a profile likelihood approach to search for sub-GeV dark matter particles (DM) through two inelastic scattering channels: bremsstrahlung radiation and the Migdal effect. By considering possible inelastic scattering channels, experimental sensitivity can be extended to DM masses that would otherwise be undetectable through the DM-nucleon elastic scattering channel, given the energy threshold of current experiments. We exclude DM masses down to $220~\textrm{MeV}/c^2$ at $2.7 \times 10^{-30}~\textrm{cm}^2$ via the bremsstrahlung channel. The Migdal channel search excludes DM masses down to $30~\textrm{MeV}/c^2$ at $5.0 \times 10^{-30}~\textrm{cm}^2$.


Spin-dependent dark matter-electron interactions

June 2021

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71 Reads

Detectors with low thresholds for electron recoil open a new window to direct searches of sub-GeV dark matter (DM) candidates. In the past decade, many strong limits on DM-electron interactions have been set, but most on the one which is spin-independent (SI) of both dark matter and electron spins. In this work, we study DM-atom scattering through a spin-dependent (SD) interaction at leading order (LO), using well-benchmarked, state-of-the-art atomic many-body calculations. Exclusion limits on the SD DM-electron cross section are derived with data taken from experiments with xenon and germanium detectors at leading sensitivities. In the DM mass range of 0.1 - 10 GeV, the best limits set by the XENON1T experiment: $\sigma_e^{\textrm{(SD)}}<10^{-41}-10^{-40}\,\textrm{cm}^2$ are comparable to the ones drawn on DM-neutron and DM-proton at slightly bigger DM masses. The detector's responses to the LO SD and SI interactions are analyzed. In nonrelativistic limit, a constant ratio between them leads to an indistinguishability of the SD and SI recoil energy spectra. Relativistic calculations however show the scaling starts to break down at a few hundreds of eV, where spin-orbit effects become sizable. We discuss the prospects of disentangling the SI and SD components in DM-electron interactions via spectral shape measurements, as well as having spin-sensitive experimental signatures without SI background.


Constraints from a many-body method on spin-independent dark matter scattering off electrons using data from germanium and xenon detectors

December 2020

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78 Reads

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18 Citations

Physical Review D

Scattering of light dark matter (LDM) particles with atomic electrons is studied in the context of effective field theory. Contact and long-range interactions between dark matter and an electron are both considered. A state-of-the-art many-body method is used to evaluate the spin-independent atomic ionization cross sections of LDM-electron scattering, with an estimated error about 20%. New upper limits are derived on parameter space spanned by LDM mass and effective coupling strengths using data from the CDMSlite, XENON10, XENON100, and XENON1T experiments. Comparison with existing calculations shows the importance of atomic structure. Two aspects particularly important are relativistic effect for inner-shell ionization and final-state free electron wave function which sensitively depends on the underlying atomic approaches.


FIG. 1. (Top panel) xenon photoabsorption cross section from experiments and atomic calculations of RRPA with the lengthgauge operators and the FAC code. Also shown are the percentage differences by using the E1 approximation (central panel) and from using the Coulomb gauge operators (bottom panel) in the same RRPA routine.
FIG. 2. Differential count rates dR dE det (left) and dR d ln E r (right) of the Migdal effect in xenon detectors by the spin-independent, isoscalar, DM-nucleon contact interaction (with cross section ¯ σ n ) predicted by (i) RRPA, (ii) MPA relation, (iii) FAC, and (iv) Ref. [2] (left) and Ref. [22] (right).
FIG. 3. Differential count rates dR d ln E r
Model-independent determination of the Migdal effect via photoabsorption

December 2020

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172 Reads

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55 Citations

Physical Review D

The Migdal effect in a dark-matter-nucleus scattering extends the direct search experiments to the sub-GeV mass region through electron ionization with sub-keV detection thresholds. In this paper, we derive a rigorous and model-independent “Migdal-photoabsorption” relation that links the sub-keV Migdal process to photoabsorption. This relation is free of theoretical uncertainties as it only requires the photoabsorption cross section as the experimental input. Validity of this relation is explicitly checked in the case of xenon with a state-of-the-art atomic calculation that is well benchmarked by experiments. The predictions based on this relation for xenon, argon, semiconductor silicon, and germanium detectors are presented and discussed.


Effect on Dark Matter Exclusion Limits from New Silicon Photoelectric Absorption Measurements

October 2020

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8 Reads

Recent breakthroughs in cryogenic silicon detector technology allow for the observation of single electron-hole pairs released via particle interactions within the target material. This implies sensitivity to energy depositions as low as the smallest band gap, which is $\sim1.2$\,eV for silicon, and therefore sensitivity to eV/$c^2$-scale bosonic dark matter and to thermal dark matter at masses below 100\,MeV/$c^2$. Various interaction channels that can probe the lowest currently accessible masses in direct searches are related to standard photoelectric absorption. In any of these respective dark matter signal models any uncertainty on the photoelectric absorption cross section is propagated into the resulting exclusion limit or into the significance of a potential observation. Using first-time precision measurements of the photoelectric absorption cross section in silicon recently performed at Stanford~University, this article examines the importance having accurate knowledge of this parameter at low energies and cryogenic temperatures for these dark matter searches.


FIG. 1. (Top panel) Xenon photoabsorption cross section from experiments and atomic calculations of RRPA with the length-gauge operators and the FAC code. Also shown are the percentage differences by using the E1 approximation (central panel) and from using the Coulomb gauge operators (bottom panel) in the same RRPA routine.
FIG. 2. Differential count rates dR dE det (left) and dR d ln Er (right) of the Migdal effect in xenon detectors by the spin-independent, isoscalar, DM-nucleon contact interaction (with cross section ¯ σn ) predicted by (i) RRPA, (ii) MPA relation, (iii) FAC, and (iv) Ref. [2] (left) and Ref. [22] (right).
FIG. 3. Differential count rates dR d ln Er for xenon, argon, semiconductor silicon and germanium detectors.
Model-independent determination of the Migdal effect via photoabsorption

July 2020

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153 Reads

The Migdal effect in a dark-matter-nucleus scattering extends the direct search experiments to the sub-GeV mass region through electron ionization with sub-keV detection thresholds. In this paper, we derive a rigorous and model-independent "Migdal-photoabsorption" relation that links the sub-keV Migdal process to photoabsorption. This relation is free of theoretical uncertainties as it only requires the photoabsorption cross section as the experimental input. Validity of this relation is explicitly checked in the case of xenon with an state-of-the-arts atomic calculation that is well-benchmarked by experiments. The predictions based on this relation for xenon, argon, semiconductor silicon and germanium detectors are presented and discussed.


FIG. 1. ν-Xe differential cross sections through the neutrino magnetic moment interaction for the 7 Be (862 keV, in black), 7 Be (384 keV, in blue), and flux averaged pp (in red) solar neutrinos, respectively. These curves largely overlap below 5 keV. The difference is highlighted in the inset. The dashed curves are the results of FEA.
FIG. 2. ν-Xe differential cross sections through the neutrino millicharge interaction for the 7 Be (862 keV, in black), 7 Be (384 keV, in blue), and flux averaged pp (in red) solar neutrinos, respectively. These curves largely overlap. The difference is highlighted in the insets. The FEA and EPA results are also shown.
FIG. 3. Electron and nuclear recoil event rates from solar neutrino scattering off xenon. Electron recoil channels: neutrino atomic ionization through weak interaction (red), neutrino millicharge (black, scales as δ 2 Q S
Discovery potential of multiton xenon detectors in neutrino electromagnetic properties

October 2019

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207 Reads

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33 Citations

Physical Review D

Next-generation xenon detectors with multiton-year exposure are powerful direct probes of dark matter candidates, in particular the favorite weakly interacting massive particles. Coupled with the features of low thresholds and backgrounds, they are also excellent telescopes of solar neutrinos. In this paper, we study the discovery potential of ton-scale xenon detectors in electromagnetic moments of solar neutrinos. Relevant neutrino-atom scattering processes are calculated by applying a state-of-the-art atomic many-body method—relativistic random phase approximation. Limits on these moments are derived from existing data and estimated with future experiment specifications. With one ton-year exposure, XENON-1T can improve the effective millicharge constraint by a factor of 2. With LZ and DARWIN, the projected improvement on the solar neutrino effective millicharge (magnetic moment) is around 7 (2) times smaller than the current bound. If LZ can keep the same background level and push the electron recoil threshold to 0.5 keV, the projected improvement on the millicharge (magnetic moment) is about 10 (3) times smaller than the current bound. An unconventional setup of placing a strong Cr51 neutrino source by a ton-scale xenon detector is also considered.


Discovery potential of multi-ton xenon detectors in neutrino electromagnetic properties

March 2019

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35 Reads

Next-generation xenon detectors with multi-ton-year exposure are powerful direct probes of dark matter candidates, in particular the favorite weakly-interacting massive particles. Coupled with the features of low thresholds and backgrounds, they are also excellent telescopes of solar neutrinos. In this paper, we study the discovery potential of ton-scale xenon detectors in electromagnetic moments of solar neutrinos. Relevant neutrino-atom scattering processes are calculated by applying a state-of-the-arts atomic many-body method--relativistic random phase approximation (RRPA). Limits on these moments are derived from existing data and estimated with future experiment specifications. With one ton-year exposure, XENON-1T can improve the effective milli-charge constraint by a factor two. With LZ and DARWIN, the projected improvement on the solar neutrino effective milli-charge(magnetic moment) is around 7(2) times smaller than the current bound. If LZ can keep the same background level and push the electron recoil threshold to 0.5 keV, the projected improvement on milli-charge(magnetic moment) is about 10(3) times smaller than the current bound.


Constraints on spin-independent dark matter scattering off electrons with germanium and xenon detectors

December 2018

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118 Reads

Scattering of light dark matter (LDM) particles with atomic electrons is studied in the context of effective field theory. Contact and long-range interactions between dark matter and an electron are both considered. A state-of-the-art many-body method is used to evaluate the spin-independent atomic ionization cross sections of LDM-electron scattering. New upper limits are derived on parameter space spanned by LDM mass and effective coupling strengths using data from the CDMSlite, XENON10, and XENON100 experiments. Comparison with existing calculations shows disagreement and indicates the importance of atomic many-body physics in direct LDM searches.


Citations (10)


... Evaluation of the double differential cross sections of the ALP IP processes builds on our earlier work of incorporating the atomic many-body physics effects to low energy neutrino [29][30][31] and DM [32,33] interactions with matter, ...

Reference:

Inverse Primakoff scattering for axionlike particle couplings
Spin-dependent dark matter-electron interactions

Physical Review D

... The ionization form factor for the liquid xenon target was first calculated in [44][45][46] based on some simplified DM models. 1 Subsequently, the atomic response functions in the liquid xenon and argon targets were examined in [49] based on a more general framework of NR EFT, in which three new atomic response functions were introduced in addition to the usual ionization form factor. The relativistic correction and many-body effect of the ionization form factor were discussed in [47,50,51], which could be sizable for a large transfer momentum. In a recent work [52] we pointed out a crucial minus sign difference from [49] for the vector form factor f 1→2 when transforming from momentum space to configuration space. ...

Constraints from a many-body method on spin-independent dark matter scattering off electrons using data from germanium and xenon detectors

Physical Review D

... Foremost among these is the Migdal effect: the ionization or excitation of atomic electrons resulting from a nuclear scattering [4][5][6][7]. The significance of the Migdal effect was established in [8,9] (after earlier initial work [10][11][12][13]), leading to further theoretical developments and experimental proposals [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. Although the rate of Migdal events is very small, the Migdal effect can nevertheless provide leading constraints on the light dark matter parameter space [9,15,16,22], with several experiments conducting dedicated searches [30][31][32][33][34][35][36][37][38]. ...

Model-independent determination of the Migdal effect via photoabsorption

Physical Review D

... For antineutrinos, the vector couplings are given by gν l V = g ν l V while the axial couplings satisfy the relation gν l A = −g ν l A . As the cross section is derived based on the Free Electron Approximation hypothesis, where the electrons are considered to be free and rest in the materials [30][31][32][33], the effective electron charge term Z A ef f (T e ) is employed to quantify the number of electrons that can be ionized with the deposited recoil kinetic energy T e [34][35][36]. ...

Discovery potential of multiton xenon detectors in neutrino electromagnetic properties

Physical Review D

... Assuming that the target electrons are bound in the atomic nuclei A of the detector material, the factor Z A eff (T e ) in eq. (2.1) accounts for the effective number of electrons that can be ionized given an energy dissipation T e , and it is taken from the Hartree-Fock calculations provided in ref. [73]. ...

Low-energy electronic recoil in xenon detectors by solar neutrinos

Physics Letters B

... Near the limit, this can be viewed as a two-step process, where the virtual exchange photon emitted from the incoming ν s then interacts coherently with a target atom, producing ionization. This is known as the equivalent photon approximation (EPA) [24]. The singularity due to the real photon pole in the interaction cross section is accessed, enhancing it by orders of magnitude at the resonant energy E ¼ m s =2, which results in a peaked signature. ...

Atomic ionization by sterile-to-active neutrino conversion and constraints on dark matter sterile neutrinos with germanium detectors

Physical Review D

... For ionization from the 1s ground state Eq. (6) into the free states Eq. (7), Eq. (12) has been analytically computed in [31,51]. Using the result of [31] in Eq. (11) we obtain the ELF for n-type doped semiconductors ...

Electronic and nuclear contributions in sub-GeV dark matter scattering: A case study with hydrogen

Physical Review D

... Evaluation of the double differential cross sections of the ALP IP processes builds on our earlier work of incorporating the atomic many-body physics effects to low energy neutrino [29][30][31] and DM [32,33] interactions with matter, ...

Constraining neutrino electromagnetic properties by germanium detectors

Physical Review D

... Our bound on q ν e is stronger than the bounds from the analyses of the data from TEXONO (jq ν e j < 1.0 × 10 −12 e at 90% C.L.) [41,[53][54][55] or GEMMA (jq ν e j < 1.5 × 10 −12 e at 90% C.L.) [19,56]. Regarding q ν μ=τ , the bound is more than one order of magnitude more stringent than that obtained from solar neutrinos by the XMASS Collaboration (jq ν μ=τ j < 1.1 × 10 −11 e at 90% C.L.) [57]. ...

Constraints on Millicharged Neutrinos via Atomic Ionizations with Germanium Detectors at sub-keV Sensitivities

Physical Review D

... Evaluation of the double differential cross sections of the ALP IP processes builds on our earlier work of incorporating the atomic many-body physics effects to low energy neutrino [29][30][31] and DM [32,33] interactions with matter, ...

Atomic ionization of germanium by neutrinos from an ab initio approach

Physics Letters B