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Gauge-invariant quantum gravity corrections to Callan-Symanzik beta functions via the Vilkovisky-DeWitt method and gravity-assisted gauge unification

Hong-Jian He1,2, Xu-Feng Wang1,3, and Zhong-Zhi Xianyu1

  • 1Institute of Modern Physics and Center for High Energy Physics, Tsinghua University, Beijing 100084, China
  • 2Kavli Institute for Theoretical Physics China, Chinese Academy of Sciences, Beijing 100190, China
  • 3Institute for the Physics and Mathematics of the Universe, University of Tokyo, Chiba 277-8568, Japan

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Phys. Rev. D 83, 125014 – Published 10 June, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.125014

Abstract

Gravity is the weakest force in nature, and the gravitational interactions with all standard model (SM) particles can be well described by perturbative expansions of the Einstein-Hilbert action as an effective theory, all the way up to energies below the fundamental Planck scale. We use the Vilkovisky-DeWitt method to derive the first gauge-invariant nonzero gravitational power-law corrections to the Callan-Symanzik beta functions which make both Abel and non-Abel gauge interactions asymptotically free. We further demonstrate that the graviton-induced universal power-law runnings always assist the three SM gauge forces to reach unification around the Planck scale, irrespective of the detail of logarithmic corrections. We further compute the power-law corrections to the SM Higgs sector and derive modified triviality bound on the Higgs boson mass.

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Phys. Rev. D 83, 125014– Published 10 June, 2011
  • Received 28 January 2011

© 2011 American Physical Society

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