Mu2e and COMET will search for electrons produced via the neutrinoless conversion of stopped muons bound in 1s atomic orbits <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mmultiscripts><a:mi>Al</a:mi><a:mprescripts/><a:none/><a:mn>27</a:mn></a:mmultiscripts></a:math>, improving existing limits on charged lepton flavor violation (CLFV) by roughly four orders magnitude. Conventionally, <b:math...

A bstract We present theoretical predictions for μ → e conversion rates using a tower of effective field theories connecting the UV to nuclear physics scales. The interactions in nuclei are described recently developed nonrelativistic theory (NRET) that organizes contributions according bound nucleon and muon velocities, $$ {\overrightarrow{v}}_N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mover> <mml:mi>v</mml:mi> <mml:mo>→</mml:mo> </mml:mover>...

New mu-to-e conversion searches aim to advance limits on charged lepton flavor violation (CLFV) by four orders of magnitude. By considering P and CP selection rules the structure possible charge current densities, we show that rates are governed six nuclear responses. To generate a microscopic formulation these responses, construct in non-relativistic effective theory (NRET) CLFV nucleon-level interaction, then embed it nucleus. We discuss previous work, noting lack systematic treatment...

The ${}^{71}$Ga radiochemical experiments provided the first constraint on flux of low-energy electron neutrinos coming from Sun. Crucial neutrino calibration experiments, however, using intense $\ensuremath{\beta}$-decay sources, yielded rates below that predicted by theory. A recent effort to check ``gallium anomaly'' a more source exacerbated discrepancy. This paper carefully reexamines nuclear physics absorption ${}^{71}$Ga, slightly reducing but not eliminating puzzling anomaly.

The Mu2e and COMET experiments are expected to improve existing limits on charged lepton flavor violation (CLFV) by roughly 4 orders of magnitude. μ→e conversion typically optimized for electrons produced without nuclear excitation, as this maximizes the electron energy minimizes backgrounds from free decay muon. Here we argue that will be able extract additional constraints CLFV inelastic conversion, given ^{27}Al target they have chosen anticipate. We describe scenarios in which can induce...

We develop a constructive approach to generate quantum neural networks capable of representing the exact thermal states all many-body qubit Hamiltonians. The Trotter expansion imaginary time propagator is implemented through an block encoding by means unitary, restricted Boltzmann machine architecture. Marginalization over hidden-layer neurons (auxiliary qubits) creates nonunitary action on visible layer. Then, we introduce unitary deep architecture in which qubits are allowed couple...

Solar neutrino flux constraints from the legacy GALLEX/GNO and SAGE experiments continue to influence contemporary global analyses of properties. The depend on absorption cross sections for various solar sources. Following recent work updating $^{51}$Cr $^{37}$Ar source sections, we reevaluate $^{71}$Ga focusing contributions transitions $^{71}$Ge excited states, but also revising ground-state transition take into account new electron-capture lifetime measurements theory corrections....

The Mu2e and COMET $\mu \rightarrow e$ conversion experiments are expected to significantly advance limits on new sources of charged lepton flavor violation (CLFV). Almost all theoretical work in the field has focused just two operators. However, general symmetry arguments lead a rate with six response functions, each which, principle, is observable by varying nuclear properties targets. We construct nucleon-level nonrelativistic effective theory (NRET) clarify microscopic origin these...

Within a class of models in which lepton flavor violation is induced dominantly by scalar particle exchanges, we estimate the $\ensuremath{\mu}\ensuremath{\rightarrow}e$ conversion rate several nuclei. We include next-to-leading order (NLO) terms one- and two-nucleon interactions chiral effective theory, rectifying some incorrect results previous literature. provide an uncertainty budget for rates find that NLO contributions affect amplitudes at level $10%$, could be larger than on leading...

We investigate the prospects of blind and targeted searches in radio domain (10 MHz to 1 THz) for high-n hydrogen recombination lines from first generation galaxies, at z ≲ 10. The expected optically thin spontaneous α-line luminosities are calculated as a function absolute AB magnitude galaxy 1500 Å. For search, semi-empirical luminosity functions used calculate number galaxies whose flux densities exceed an assumed detectability threshold. Plots minimum sky area, within which least one...

The Mu2E and COMET μ→e collaborations plan to advance branching ratio sensitivities by four orders of magnitude, further constraining new sources charged lepton flavor violation (CLFV). We formulate a non-relativistic nucleon-level effective theory for this process, in order clarify what can cannot be learned about CLFV operator coefficients from elastic conversion. Utilizing state-of-the-art shell model wave functions, we derive bounds on existing conversion results, estimate the...

We introduce a simple algorithm for projecting on 𝐽=0 states of many-body system by performing series rotations to remove with angular momentum projections greater than zero. Existing methods rely unitary evolution the two-body operator 𝐽2, which when expressed in computational basis contains many complicated Pauli strings requiring Trotterization and leading very deep quantum circuits. Our approach performs necessary using one-body operators 𝐽𝑥 𝐽𝑧. By leveraging method Cartan decomposition,...

The Mu2e and COMET experiments are expected to improve existing limits on charged lepton flavor violation (CLFV) by roughly four orders of magnitude. $\mu\rightarrow e$ conversion typically optimized for electrons produced without nuclear excitation, as this maximizes the electron energy minimizes backgrounds from free decay muon. Here we argue that will be able extract additional constraints CLFV inelastic $\mu \rightarrow conversion, given $^{27}$Al target they have chosen anticipate. We...

We present theoretical predictions for $\mu \rightarrow e$ conversion rates using a tower of effective field theories connecting the UV to nuclear physics scales. The interactions in nuclei are described recently developed nonrelativistic theory (NRET) that organizes contributions according bound nucleon and muon velocities, $\vec{v}_N$ $\vec{v}_\mu$, with $|\vec{v}_N| > |\vec{v}_\mu|$. To facilitate top-down matching, we enlarge set Lorentz covariant nucleon-level mapped onto NRET operators...

Mu2e and COMET will search for electrons produced via the neutrinoless conversion of stopped muons bound in 1s atomic orbits $^{27}$Al, improving existing limits on charged lepton flavor violation (CLFV) by roughly four orders magnitude. Conventionally, $\mu\rightarrow e$ experiments are optimized to detect originating from transitions where nucleus remains ground state, thereby maximizing energy outgoing electron. Clearly, detection a positive signal forthcoming would stimulate additional...

The Mu2e and COMET $μ\rightarrow e$ conversion experiments are expected to significantly advance limits on new sources of charged lepton flavor violation (CLFV). Almost all theoretical work in the field has focused just two operators. However, general symmetry arguments lead a rate with six response functions, each which, principle, is observable by varying nuclear properties targets. We construct nucleon-level nonrelativistic effective theory (NRET) clarify microscopic origin these...

In the recent Baksan Experiment on Sterile Transitions (BEST), a suppressed rate of neutrino absorption gallium target was observed, consistent with earlier results from source calibrations SAGE and GALLEX/GNO solar experiments. The BEST collaboration, utilizing 3.4 MCi 51Cr source, found observed-to-expected counting rates at two very short baselines R=0.791 plus/minus 0.05 0.766 0.05, respectively. Among experiments, is notable for simplicity both its spectrum, line neutrinos an...

New mu-to-e conversion searches aim to advance limits on charged lepton flavor violation (CLFV) by four orders of magnitude. By considering P and CP selection rules the structure possible charge current densities, we show that rates are governed six nuclear responses. To generate a microscopic formulation these responses, construct in non-relativistic effective theory (NRET) CLFV nucleon-level interaction, then embed it nucleus. We discuss previous work, noting lack systematic treatment...