TY - JOUR AU - Bueno Rogerio, R. J. AU - Lima, R. D. AU - Duarte, L. AU - Hoff da Silva, J. M. AU - Dias, M. AU - Senise, C. R. PY - 2019 DA - 2019// TI - Mass-dimension-one fermions and their gravitational interaction T2 - EPL JO - Europhysics Letters SP - 20004 EP - 6pp VL - 128 IS - 2 PB - Iop Publishing Ltd AB - We investigate in detail the interaction between the spin-(1/2) field endowed with mass dimension one and the graviton. We obtain an interaction vertex that combines the characteristics of scalar-graviton and Dirac's fermion-graviton vertices, due to the scalar-dynamic attribute and the fermionic structure of the mass-dimension-one field. It is shown that this vertex obeys the Ward-Takahashi identity, ensuring the gauge invariance for the interaction. In the contribution of the mass-dimension-one fermion to the graviton propagator at one-loop level, we found the conditions for the cancellation of the tadpole term by a cosmological counterterm. We calculate the scattering process for arbitrary momentum. For low energies, the result reveals that only the scalar sector present in the vertex contributes to the gravitational potential. Finally, we evaluate the non-relativistic limit of the gravitational interaction and obtain an attractive Newtonian potential, as required for a dark-matter candidate. SN - 0295-5075 UR - https://arxiv.org/abs/1902.01379 UR - https://doi.org/10.1209/0295-5075/128/20004 DO - 10.1209/0295-5075/128/20004 LA - English N1 - WOS:000518763000003 ID - BuenoRogerio_etal2019 ER -