Impact of ELKO fermion on Higgs mass
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part of Springer Nature, 2020 https://doi.org/10.1140/epjst/e2020-000049-2
THE EUROPEAN PHYSICAL JOURNAL SPECIAL TOPICS
Regular Article
Impact of ELKO fermion on Higgs mass Alekha C. Nayak1 and Tripurari Srivastava2,a 1 2
Department of Physics, National Institute of Technology, Meghalaya 793003, India Theoretical Physics Division, Physical Research Laboratory, Ahmedabad 380009, India Received 28 March 2020 / Accepted 24 July 2020 Published online 21 September 2020 Abstract. We study the Higgs mass stability due to one loop correction of heavier mass dimension one fermion to the Higgs propagator. Although to conclude anything we need to construct a model. Here, we computed the contribution from mass dimension one fermion (ELKO) to the Higgs mass at one loop and analyse the possible appearance of new physics scale. Naturalness is an aesthetic problem in standard model. It is not physical problem, however this might predict the lower bound on new physics scale. We use this information to analyse the impact of ELKO to the mass of Higgs.
1 Introduction A spin half fermion field with mass dimension one is called ELKO. This field is an eigenspinor of the charge conjugation operator and hence carries no electric charge [1,2]. Although ELKO field represents spin-1/2 particle, it does not satisfy the Dirac equation, but it satisfies the Klein–Gordon equation. Hence, the Feynman–Dyson propagator for ELKO is Klein–Gordon type [1,2]. The ELKO was originally proposed to be dark matter candidate because they do not carry electric charge and the mismatch of mass dimension with the SM fermion field limit their interaction with standard model fields except Higgs field. ELKO interacts with Higgs field via Higgs portal mechanism. The parameter space for ELKO as a dark matter particle has been studied in reference [3] . The possible ELKO signal at the large hadron collider has been studied in references [4–7]. ELKO fields implication have been studied in the context of inflation [8–15], gravity [16,17] and mathematical physics [18–27]. A recent review on mass dimension one field is given in reference [28]. In this paper, we study the effects of ELKO fermion loop on the Higgs propagator. We also study the stability of Higgs mass for heavier ELKO particle running inside the loop. We also put upper limit on ELKO particle using the Higgs mass data. This paper is organised as follows: in Section 2, we review briefly about ELKO fermion and its interaction with Higgs field. In Section 3, we study the one loop correction to the Higgs propagator from ELKO. Finally, we conclude in Section 5. a
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2036
The European Physical Journal Special Topics
2 Properties of ELKO field The ELKO field in terms of eigen spinor of charge conjugation operator λS and λA may be written as [1,2] Z f(x) =
i Xh 1 d3 p S µ † A µ p a (p)λ (p) exp(−ip x ) + b (p)λ (p) exp(ip x ) , α µ µ α α α (2π)3 2mf E(p) α (1)
and the dual field of f(x) may be written as ¬
Z
f(x) =
i Xh ¬ ¬ d3 p 1 † S µ A µ p a (p) λ (p) exp(ip x ) + b (p)
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