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Tang, C., Gao, F., & Liu, Y. X. (2019). Practical scheme from QCD to phenomena via Dyson-Schwinger equations. Phys. Rev. D, 100(5), 056001–16pp.
Abstract: We deliver a scheme to compute the quark propagator and the quark-gluon interaction vertex through the coupled Dyson-Schwinger equations (DSEs) of QCD. We take the three-gluon vertex into account in our calculations, and implement the gluon propagator and the running coupling function fitted by the solutions of their respective DSEs. We obtain the momentum and current mass dependence of the quark propagator and the quark-gluon vertex, and the chiral quark condensate that agrees with previous results excellently. We also compute the quark-photon vertex within this scheme and give the anomalous chromo- and electromagnetic moment of the quark. The obtained results are excellently consistent with previous ones. These applications manifest that the scheme is realistic and then practical for explaining the QCD-related phenomena.
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Takubo, Y., Hodgkinson, R. N., Ikematsu, K., Fujii, K., Okada, N., & Yamamoto, H. (2013). Measuring anomalous couplings in H -> WW* decays at the International Linear Collider. Phys. Rev. D, 88(1), 013010–9pp.
Abstract: The measurement of the Higgs coupling to W bosons is an important test of our understanding of the electroweak symmetry-breaking mechanism. We study the sensitivity of the International Linear Collider (ILC) to the presence of anomalous HW+W- couplings using ZH -> nu(nu) over bar WW* -> nu(nu) over bar 4j events. Using an effective Lagrangian approach, we calculate the differential decay rates of the Higgs boson including the effects of new dimension-five operators. We present a Monte Carlo simulation of events at the ILC, using a full detector simulation based on GEANT4 and a real event reconstruction chain. Expected constraints on the anomalous couplings are given.
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Takahashi, K., Motohashi, H., Suyama, T., & Kobayashi, T. (2017). General invertible transformation and physical degrees of freedom. Phys. Rev. D, 95(8), 084053–12pp.
Abstract: An invertible field transformation is such that the old field variables correspond one-to-one to the new variables. As such, one may think that two systems that are related by an invertible transformation are physically equivalent. However, if the transformation depends on field derivatives, the equivalence between the two systems is nontrivial due to the appearance of higher derivative terms in the equations of motion. To address this problem, we prove the following theorem on the relation between an invertible transformation and Euler-Lagrange equations: If the field transformation is invertible, then any solution of the original set of Euler-Lagrange equations is mapped to a solution of the new set of Euler-Lagrange equations, and vice versa. We also present applications of the theorem to scalar-tensor theories.
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T2K Collaboration(Abe, K. et al), Cervera-Villanueva, A., & Novella, P. (2017). Measurement of (nu)over-bar(mu) and nu(mu) charged current inclusive cross sections and their ratio with the T2K off-axis near detector. Phys. Rev. D, 96(5), 052001–15pp.
Abstract: We report a measurement of cross section sigma(nu(mu) + nucleus. -> mu(-) + X) and the first measurements of the cross section sigma((sigma) over bar (mu) + nucleus -> mu(+) + X) and their ratio R(sigma((nu) over bar)sigma(nu)) at (anti) neutrino energies below 1.5 GeV. We determine the single momentum bin cross section measurements, averaged over the T2K (nu) over bar/nu-flux, for the detector target material (mainly carbon, oxygen, hydrogen and copper) with phase space restricted laboratory frame kinematics of theta(mu) < 32 degrees and p(mu) > 500 MeV/c. The results are sigma((nu) over bar) = (0.900 +/- 0.029d (stat) +/- 0.088(syst) x 10(-39) and sigma(nu) = (2.41 +/- 0.022(stat) +/- 0.231(syst)) x 10(-39) in units of cm(2)/nucleon and R(sigma((nu) over bar)/sigma(nu) = 0.373 +/- 0.012(stat) +/- 0.015(syst).
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T2K Collaboration(Abe, K. et al), Cervera-Villanueva, A., Izmaylov, A., Sorel, M., & Stamoulis, P. (2016). Measurement of the muon neutrino inclusive charged-current cross section in the energy range of 1-3 GeV with the T2K INGRID detector. Phys. Rev. D, 93(7), 072002–23pp.
Abstract: We report a measurement of the nu(mu)-nucleus inclusive charged-current cross section (= sigma(cc)) on iron using data from the INGRID detector exposed to the J-PARC neutrino beam. The detector consists of 14 modules in total, which are spread over a range of off-axis angles from 0 degrees to 1.1 degrees. The variation in the neutrino energy spectrum as a function of the off-axis angle, combined with event topology information, is used to calculate this cross section as a function of neutrino energy. The cross section is measured to be sigma(cc) (1.1 GeV) = 1.10 +/- 0.15 (10(-38) cm(2)/nucleon), sigma(cc) (2.0 GeV) = 2.07 +/- 0.27 (10(-38) cm(2)/nucleon), and sigma(cc) (3.3 GeV) = 2.29 +/- 0.45 (10(-38) cm(2)/nucleon), at energies of 1.1, 2.0, and 3.3 GeV, respectively. These results are consistent with the cross section calculated by the neutrino interaction generators currently used by T2K. More importantly, the method described here opens up a new way to determine the energy dependence of neutrino-nucleus cross sections.
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