Note on totally odd multiple zeta values

A partial answer to a conjecture about the rank of the ma- trix CN,r introduced by Francis Brown in the study of totally odd mul- tiple zeta values is given

Relationships between multiple zeta values of depths 2 and 3 and period polynomials

Some combinatorial aspects of relations between multiple zeta values of depths 2 and 3 and period polynomials are discussed

On Ecalle's and Brown's polar solutions to the double shuffle equations modulo products

Two explicit sets of solutions to the double shuffle equations modulo products were introduced by Ecalle and Brown respectively. We place the two solutions into the same algebraic framework and compare them. We find that they agree up to and including depth four but differ in depth five by an explicit solution to the linearized double shuffle equations with an exotic pole structure

CD25+ T-lymphocytes induce CD11b on eosinophils in allergic nasal mucosa

In the allergic mucosa, there is a significant increase in numbers of CD25+ cells and activated eosinophils. To determine whether a link exists between the activated T-lymphocytes and tissue eosinophils in nasal allergy, we studied CD25+ cells in the nasal mucosa and compared the levels of soluble IL-2 receptor (sIL-2R) both in the serum and the nasal secretions, and further investigated expression of CD11b on eosinophils in the nasal lavage fluids and peripheral blood of patients with nasal allergy. We also examined the effects of the culture supernatant of Con A- and IL-2-activated T-lymphocytes on CD11b expression on eosinophils in the present study. The concentration of sIL-2R in the nasal secretions from patients with Japanese cedar pollinosis (JCP) was significantly higher than that from normal subjects (p < 0.01). The sIL-2R level was significantly higher in the nasal secretions than in the sera in patients (p < 0.01), and CD11b expression on eosinophils from nasal hvage fluid was significandy higher than that of eosinophils from peripheral blood of the same individuals (p < 0.01). The activated T-lymphocytes promoted eosinophil activation with upregulation of CD11b in vitro, and eosinophils in the nasal secretions from patients significantly expressed more CD11b in vivo. These results indicate that activation of T-lymphocytes is linked to eosinophil activation in nasal allergy

Special values of finite multiple harmonic q-series at roots of unity

We study special values of finite multiple harmonic q-series at roots of unity. These objects were recently introduced by the authors and it was shown that they have connections to finite and symmetric multiple zeta values and the Kaneko-Zagier conjecture. In this note we give new explicit evaluations for finite multiple harmonic q-series at roots of unity and prove Ohno-Zagier-type relations for them

Search for two-neutrino double electron capture on 124^{124}Xe with the XMASS-I detector

Double electron capture is a rare nuclear decay process in which two orbital electrons are captured simultaneously in the same nucleus. Measurement of its two-neutrino mode would provide a new reference for the calculation of nuclear matrix elements whereas observation of its neutrinoless mode would demonstrate lepton number violation. A search for two-neutrino double electron capture on $^{124}$Xe is performed using 165.9 days of data collected with the XMASS-I liquid xenon detector. No significant excess above background was observed and we set a lower limit on the half-life as $4.7 \times 10^{21}$ years at 90% confidence level. The obtained limit has ruled out parts of some theoretical expectations. We obtain a lower limit on the $^{126}$Xe two-neutrino double electron capture half-life of $4.3 \times 10^{21}$ years at 90% confidence level as well.Comment: 6 pages, 3 figures, accepted for publication in Physics Letters

Search for exotic neutrino-electron interactions using solar neutrinos in XMASS-I

We have searched for exotic neutrino-electron interactions that could be produced by a neutrino millicharge, by a neutrino magnetic moment, or by dark photons using solar neutrinos in the XMASS-I liquid xenon detector. We observed no significant signals in 711 days of data. We obtain an upper limit for neutrino millicharge of 5.4$\times$10$^{-12} e$ at 90\% confidence level assuming all three species of neutrino have common millicharge. We also set flavor dependent limits assuming the respective neutrino flavor is the only one carrying a millicharge, $7.3 \times 10^{-12} e$ for $\nu_e$, $1.1 \times 10^{-11} e$ for $\nu_{\mu}$, and $1.1 \times 10^{-11} e$ for $\nu_{\tau}$. These limits are the most stringent yet obtained from direct measurements. We also obtain an upper limit for the neutrino magnetic moment of 1.8$\times$10$^{-10}$ Bohr magnetons. In addition, we obtain upper limits for the coupling constant of dark photons in the $U(1)_{B-L}$ model of 1.3$\times$10$^{-6}$ if the dark photon mass is 1$\times 10^{-3}$ MeV$/c^{2}$, and 8.8$\times$10$^{-5}$ if it is 10 MeV$/c^{2}$

Direct dark matter search by annual modulation in XMASS-I

A search for dark matter was conducted by looking for an annual modulation signal due to the Earth's rotation around the Sun using XMASS, a single phase liquid xenon detector. The data used for this analysis was 359.2 live days times 832 kg of exposure accumulated between November 2013 and March 2015. When we assume Weakly Interacting Massive Particle (WIMP) dark matter elastically scattering on the target nuclei, the exclusion upper limit of the WIMP-nucleon cross section 4.3$\times$10$^{-41}$cm$^2$ at 8 GeV/c$^2$ was obtained and we exclude almost all the DAMA/LIBRA allowed region in the 6 to 16 GeV/c$^2$ range at $\sim$10$^{-40}$cm$^2$. The result of a simple modulation analysis, without assuming any specific dark matter model but including electron/$\gamma$ events, showed a slight negative amplitude. The $p$-values obtained with two independent analyses are 0.014 and 0.068 for null hypothesis, respectively. we obtained 90\% C.L. upper bounds that can be used to test various models. This is the first extensive annual modulation search probing this region with an exposure comparable to DAMA/LIBRA.Comment: 5 pages, 4 figure