We construct the relativistic chiral Lagrangians with decuplet baryons up to the order Oðp 4 Þ (one loop). For the meson-decuplet-decuplet couplings, there are 1, 13, 55, and 548 terms in the Oðp 1 Þ − Oðp 4 Þ order Lagrangians, respectively. For the meson-octet-decuplet Lagrangians, the number of independent terms from Oðp 1 Þ to Oðp 4 Þ is 1, 5, 67, and 611, respectively. For convenience of application, the πΔΔ and πNΔ chiral Lagrangians are picked out. This new form of Δ Lagrangians is equivalent to the original isovectorisospinor one, and we establish relations between these two forms.

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Transition Radiation (TR) plays an important role in particle identification in high-energy physics and its characteristics provide a feasible method of energy calibration in the energy range up to 10 TeV, which is of interest for dark matter searches in cosmic rays. In a Transition Radiation Detector (TRD), the TR signal is superimposed onto the ionization energy loss signal induced by incident charged particles. In order to make the TR signal stand out from the background of ionization energy loss in a significant way, we optimized both the radiators and the detector. We have designed a new prototype of regular radiator optimized for a maximal TR photon yield, combined with the Side-On TRD which is supposed to improve the detection efficiency of TR. We started a test beam experiment with the Side-On TRD at Conseil Européen pour la Recherche Nucléaire (CERN), and found that the experimental data is consistent with the simulation results.

We construct the relativistic chiral Lagrangians for heavy-light mesons (Qq) to the O(p 4 ) order. From O(p 2 ) to O(p 4 ), there are 17, 67, and 404 independent terms in the flavor SU (2) case and 20, 84, and 655 independent terms in the flavor SU (3) case. The Lagrangians in the heavy quark limit are also obtained. From O(p 2 ) to O(p 4 ), there are 7, 25, and 136 independent terms in the flavor SU (2) case and 8, 33, and 212 independent terms in the flavor SU (3) case. The relations between low-energy constants based on the heavy quark symmetry are also given up to the O

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