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Form factor of the longitudinal component of weak vector current in pion beta decay
The form factor f{sub -} of the longitudinal component of the weak vector current in pion β-decay is derived using the generalized Ward identity. The form factor is expressed through the pion mass difference and mean-square radii in the channels with angular momenta J = 1, 0 and isospins T = 1, 2.
Form factor for a two-particle system within a relativistic quasipotential approach: Case of arbitrary masses and of a vector current
A new relativistic form factor for a bound two-particle system was obtained for the case of a vector current. The present consideration was performed within the relativistic quasipotential approach based on the covariant Hamiltonian formulation of quantum field theory by going over to the three-dimensional relativistic configuration representation for the case of interaction between two relativistic spinless particles of arbitrary mass.
Dark matter through the quark vector current portal
We consider models of light dark matter coupled to quarks through a vector current interaction. For low energies, these models must be treated through the effective couplings to mesons, which are implemented here through the chiral Lagrangian. We find the rates of dark matter annihilation and decay to the light mesons, and find the expected photon spectrum from the decay of the hadrons. We compare to current and future observations, and show that there is a significant discovery reach for these models.
S U ( 3 ) vector currents in baryon chiral perturbation theory combined with the 1 / N c expansion
Baryon chiral perturbation theory (BChPT) combined with the 1 / N c expansion is applied to the S U ( 3 ) vector currents. In terms of the ξ power counting linking the low-energy and 1 / N c expansions according to O ( ξ ) = O ( p ) = O ( 1 / N c ) , the study is carried out to next-to-next-to-leading order, and it includes S U ( 3 ) breaking corrections to the | Δ S | = 1 vector charges, charge radii, and magnetic moments and radii. The results are obtained for generic N c , allowing for investigating the various scalings in N c .
Matching lattice and continuum axial-vector and vector currents with nonrelativistic QCD and highly improved staggered quarks
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Divergence Conditions for Vector and Axial Vector Currents
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Decays of a Heavy Lepton Involving the Hadronic Vector Current
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Alternative Vector PWM for CSI Common-Mode Voltage Reduction During Voltage-Boost Operation with Low Modulation Index
This paper proposes a new pulse-width modulation (PWM) scheme named alternative vector PWM (AVM) algorithm that reduces the common-mode voltage (vCM) generated by a 3-phase current source inverter (CSI) during operation within a portion of its voltage-boost regime when the CSI’s modulation index is below 1/3–√(=0.5774). Three different active current vector pairs (one conventional pair with adjacent active current vectors and two proposed pairs with non-adjacent active current vectors) are used to reduce vCM based on the CSI’s output voltage conditions. Experimental results confirm significant reductions in major vCM spectral components by up to approx. 85% between the 3rd harmonic of the fundamental frequency and the CSI’s PWM frequency, validating the advantages of the proposed AVM algorithm over the conventional PWM.
Lattice calculation of nucleon isovector axial charge with improved currents
We employ dimension-4 operators to improve the local vector and axial-vector currents and calculate the nucleon isovector axial coupling $g$ ${^3}_{A}$ with overlap valence on 2 + 1-flavor domain wall fermion (DWF) sea. Using the equality of $g$ ${^3}_{A}$ from the spatial and temporal components of the axial-vector current as a normalization condition, we find that $g$ ${^3}_{A}$ is increased by a few percent towards the experimental value. Here, the excited-state contamination has been taken into account with three time separations between the source and sink. The improved axial charges $g$ ${^3}_{A}$ (24I) = 1.22 (4) (3) and $g$ ${^3}_{A}$ (32I) = 1.21 (3)(3) are obtained on a 24 3 × 64 lattice at pion mass of 330 MeV and a 32 3 × 64 lattice at pion mass 300 MeV and are increased by 3.4% and 1.7% from their unimproved values, respectively. We have also used clover fermions on the same DWF configurations and find the same behavior for the local axial charge as that with overlap fermions.
Lattice QCD estimates of thermal photon production from the QGP
Thermal photons produced in heavy-ion collision experiments are an important observable for understanding quark-gluon plasma (QGP). The thermal photon rate from the QGP at a given temperature can be calculated from the spectral function of the vector current correlator. Extraction of the spectral function from the lattice correlator is known to be an ill-conditioned problem, as there is no unique solution for a spectral function for a given lattice correlator with statistical errors. The vector current correlator, on the other hand, receives a large ultraviolet contribution from the vacuum, which makes the extraction of the thermal photon rate difficult from this channel. We therefore consider the difference between the transverse and longitudinal part of the spectral function, only capturing the thermal contribution to the current correlator, simplifying the reconstruction significantly. The lattice correlator is calculated for light quarks in quenched QCD at T = 470 MeV ( ∼ 1.5 T c ), as well as in 2 + 1 flavor QCD at T = 220 MeV ( ∼ 1.2 T p c ) with m π = 320 MeV . In order to quantify the nonperturbative effects, the lattice correlator is compared with the corresponding NLO + LPM LO estimate of correlator. The reconstruction of the spectral function is performed in several different frameworks, ranging from physics-informed models of the spectral function to more general models in the Backus-Gilbert method and Gaussian process regression. We find that the resulting photon rates agree within errors. Published by the American Physical Society 2024
PWM for Simultaneous Minimization of Switching Losses and CM Voltage in Current Source Inverters
This article proposes a new pulsewidth modulation (PWM) scheme that reduces common-mode (CM) voltage and switching losses simultaneously in CSI. The proposed PWM [i.e., reduced voltages PWM (RVM)] reduces CM voltages and switching losses by selecting the optimal zero current vector and PWM sequence based on the CSI output voltage conditions. This article also proves the proposed RVM achieves both objectives (i.e., reduced CM voltage and switching losses) simultaneously for all CSI operating conditions without compromising the other objective. The proposed RVM inherently achieves zero-voltage switching (ZVS) conditions during the zero current vector transitions, further reducing the switching losses. Experimental results demonstrate significant reductions in CM voltage, reaching up to approximately 95%, accompanied by an increase of up to about 5.5% in CSI efficiency across a wide operating range compared to alternative PWM methods, confirming the predicted advantages of the proposed RVM.
Weak mixing below the weak scale in dark-matter direct detection
If dark matter couples predominantly to the axial-vector currents with heavy quarks, the leading contribution to dark-matter scattering on nuclei is either due to one-loop weak corrections or due to the heavy-quark axial charges of the nucleons. We calculate the effects of Higgs and weak gauge-boson exchanges for dark matter coupling to heavy-quark axial-vector currents in an effective theory below the weak scale. By explicit computation, we show that the leading-logarithmic QCD corrections are important, and thus resum them to all orders using the renormalization group.
Measurement of the e{sup +}e{sup –} → ηπ{sup +}π{sup –} cross section in the center-of-mass energy range 1.22–2.00 GeV with the SND detector at the VEPP-2000 collider
In the experiment with the SND detector at the VEPP-2000 e+e– collider the cross section for the process e{sup +}e{sup –} → ηπ{sup +}π{sup –} has been measured in the center-of-mass energy range from 1.22 to 2.00 GeV. Obtained results are in agreement with previous measurements and have better accuracy. The energy dependence of the e{sup +}e{sup –} → ηπ{sup +}π{sup –} cross section has been fitted with the vector-meson dominance model. From this fit the product of the branching fractions B(ρ(1450) → ηπ{sup +}π{sup –})B(ρ(1450) → π{sup +}π{sup –}) has been extracted and compared with the same products for (ρ(1450) → ωΠ{sup 0} and (ρ(1450) → π{sup +}π{sup –} decays. The obtained cross section data have been also used to test the conservation of vector current hypothesis.
Two-pion contribution to the hadronic vacuum polarization with staggered quarks
We present results from the first lattice QCD calculation of the two-pion contributions to the light-quark connected vector-current correlation function obtained from staggered-quark operators. We employ the MILC Collaboration’s gauge-field ensemble with 2 + 1 + 1 flavors of highly improved staggered sea quarks at a lattice spacing of a ≈ 0.15 fm with a light sea-quark mass at its physical value. The two-pion contributions allow for a refined determination of the noisy long-distance tail of the vector-current correlation function, which we use to compute the light-quark connected contribution to hadronic vacuum polarization (HVP) with improved statistical precision. We compare our results with traditional noise-reduction techniques used in lattice QCD calculations of the light-quark connected HVP, namely, the so-called fit and bounding methods. We observe a factor of roughly 3 improvement in the statistical precision in the determination of the HVP contribution to the muon’s anomalous magnetic moment over these approaches. We also lay the group theoretical groundwork for extending this calculation to finer lattice spacings with increased numbers of staggered two-pion taste states.
Observation of τ – → π – ν τ e + e – and search for τ – → π – ν τ μ + μ –
We present the first measurements of branching fractions of rare tau-lepton decays, τ – → π – ν τ ℓ + ℓ – (ℓ = e or μ), using a data sample corresponding to 562 fb –1 collected at a center-of-mass energy of 10.58 GeV with the Belle detector at the KEKB asymmetric-energy e + e – collider. The τ – → π – ν τ e + e – decay is observed for the first time with 7.0σ significance. The partial branching fraction determined by the structure-dependent mechanisms mediated by either a vector or an axial-vector current for the mass region M πee > 1.05 GeV/c 2 is measured to be B(τ – → π – ν τ e + e – )[M π – e + e – > 1.05 GeV/c 2 ] = (5.90 ± 0.53 ± 0.85 ± 0.11) × 10 –6 , where the first uncertainty is statistical, the second is systematic, and the third is due to model dependence. In the full phase space, due to the different detection efficiencies for the structure-dependent mechanisms mediated by axial-vector and vector currents, the branching fraction varies from B A (τ – → π – ν τ e + e – ) = (1.46 ± 0.13 ± 0.21) × 10 –5 to B V (τ – → π – ν τ e + e – ) = (3.01 ± 0.27 ± 0.43) × 10 –5 , respectively. An upper limit is set on the branching fraction of the τ – → π – ν τ μ + μ – decay, B(τ – → π – ν τ μ + μ – ) < 1.14 × 10 –5 , at the 90% confidence level.