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In this work, we study the possible dark photon signatures through Bhabha scattering. The numerical results show that the total cross sections with dark photon effects are about 0.006 – 0.007 femtobarn. This could have important implications for dark photon searches. | Scientific Journal - No27 2O18 II 57 dark photon effects on bhabha scatterings Ha Huy Bang Ngan Van Thap Sa Thi Lan Anh Truong Minh Anh University of sciences - Hanoi National University Abstract In this work we study the possible dark photon signatures through Bhabha scattering. The numerical results show that the total cross sections with dark photon effects are about 0.006 - 0.007 femtobarn. This could have important implications for dark photon searches. Keywords Dark photon effect cross-section. Email hahuybang@hus.edu.vn Received 12 November 2018 Accepted for publication 15 December 2018 1. INTRODUCTION As well known astrophysical observations have shown that Dark Matter DM exists in our universe. In several extensions of the standard Model dark photon or u-boson is postulated 1-5 . Searching for the new physics effects the e e- linear colliders have an exceptional advantageous for its appealing clean background and the possibility for the options of e y and YY colliders based on it. Especially very recently we have investigated unparticle effects on Bhabha scattering 6 and on axion-like particles production in e e- collisions 7 . Remarkably the production and decays of dark photon at e e- colliders have been discussed in Ref 8 and a new way to search for narrow resonances and specifically dark photon coupled to e e- pairs have been suggested in Ref. 9 . In this paper we investigate dark photon effects on Bhabha scatterings. 2. THE CROSS SECTIONS This process is described by the Feynman diagram presented in Fig.1 The amplitude for this process is given by -ie 2 gvv - qq 1 mu2 v n M v kf ieY u k1 ------- 2 ----------u pf ieY v pf q - m 2. 1 ie 2E2 g q l ll l v k2 Y u kju P1 Y v pf q - mu 5 II Ha Noi MeTROPLOLiTAN University Fig-1 Feynman diagram for Bhabha scattering via dark photon and photon From this we get 2 16e4e4 M 2 2ĩí2 P1k1 P2k2 2 P1k2 P2ki q -m2 qk2 - 2 P1k1 qP2 qP1 P2k1 -2 P1 P2 qk1 m2 qk 2 P1k2 qP2 qP1 P2k2 -2 P1 P2 qk2 m2 2 2 qP1 qP2 - P1 P2 q2 2