TAILIEUCHUNG - Gravity loop corrections to the standard model higgs in einstein gravity
We study one-loop quantum gravity corrections to the standard model Higgs potential V(φ)a` la Coleman-Weinberg and examine the stability question of V(φ) in the energy region of Planck mass scale, µ ' MPl (MPl = ×1019GeV). We calculate the gravity one-loop corrections to V(φ) in Einstein gravity by using the momentum cut-off Λ. We have found that even small gravity corrections compete with the standard model term of V(φ) and affect the stability argument of the latter part alone. This is because the latter part is nearly zero in the energy region of MPl. | Communications in Physics, Vol. 26, No. 3 (2016), pp. 229-240 DOI: GRAVITY LOOP CORRECTIONS TO THE STANDARD MODEL HIGGS IN EINSTEIN GRAVITY YUGO ABE Department of Physics, Shimane University, Matsue 690-8504, Japan MASAATSU HORIKOSHI† Department of Physics, Shinshu University, Matsumoto 390-8621, Japan TAKEO INAMI1,2 1 Mathematical Physics Lab., Riken Nishina Center, Saitama 351-0198, Japan 2 Department of Physics, National Taiwan University, Taipei, Taiwan † E-mail: 14st307b@ Received 19 December 2016 Accepted for publication 26 December 2016 Abstract. We study one-loop quantum gravity corrections to the standard model Higgs potential V (φ )`a la Coleman-Weinberg and examine the stability question of V (φ ) in the energy region of Planck mass scale, µ ' MPl (MPl = × 1019 GeV). We calculate the gravity one-loop corrections to V (φ ) in Einstein gravity by using the momentum cut-off Λ. We have found that even small gravity corrections compete with the standard model term of V (φ ) and affect the stability argument of the latter part alone. This is because the latter part is nearly zero in the energy region of MPl . Keywords: quantum gravity, Higgs potential, RG flow. Classification numbers: , , . I. INTRODUCTION It is curious that the mass of the recently discovered Higgs boson MH lies far outside of the mass bound derived from the one-loop radiative corrections [1, 2]. This bound arises from the stability condition on the Higgs quartic coupling λ , . λ (µ) > 0. c 2016 Vietnam Academy of Science and Technology 230 Y. ABE, M. HORIKOSHI AND T. INAMI The large two-loop corrections come into play and the renormalization group (RG) flows of λ (µ) change drastically. Some fine-tuning of the parameters, especially that of Mt (= ± GeV), yields λ (µ) barely in accord with the boundary values of the stability bound extended to the scales of Planck mass MPl [3–5]. This implies an .
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