TY - JOUR

T1 - Towards a bound on the Higgs mass in causal set quantum gravity

AU - de Brito, Gustavo P.

AU - Eichhorn, Astrid

AU - Fausten, Ludivine

N1 - Funding Information:
Open access funding provided by University Library of Southern Denmark. This work is supported by the research Grant (29405) from VILLUM fonden.
Funding Information:
This work is supported by a research grant (29405) from VILLUM fonden. A. E. acknowledges support from the Perimeter Institute for Theoretical Physics during the final stages of this work. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development and by the Province of Ontario through the Ministry of Colleges and Universities.

PY - 2023/11

Y1 - 2023/11

N2 - In the Standard Model of particle physics, the mass of the Higgs particle can be linked to the scale at which the Standard Model breaks down due to a Landau pole/triviality problem: for a Higgs mass somewhat higher than the measured value, the Standard Model breaks down before the Planck scale. We take a first step towards investigating this relation in the context of causal set quantum gravity. We use a scalar-field propagator that carries the imprints of spacetime discreteness in a modified ultraviolet behavior that depends on a nonlocality scale. We investigate whether the modification can shift the scale of the Landau pole in a scalar field theory with quartic interaction. We discover that the modifications speed up the onset of the Landau pole considerably, so that the scale of new physics occurs roughly at the nonlocality scale. Our results call into question, whether a separation between the nonlocality scale and the discreteness scale, which is postulated within causal set quantum gravity, and which has been argued to give rise to phenomenological consequences, is in fact achievable. Methodologically, our paper is the first to apply continuum functional Renormalization Group techniques in the context of a causal-set inspired setting.

AB - In the Standard Model of particle physics, the mass of the Higgs particle can be linked to the scale at which the Standard Model breaks down due to a Landau pole/triviality problem: for a Higgs mass somewhat higher than the measured value, the Standard Model breaks down before the Planck scale. We take a first step towards investigating this relation in the context of causal set quantum gravity. We use a scalar-field propagator that carries the imprints of spacetime discreteness in a modified ultraviolet behavior that depends on a nonlocality scale. We investigate whether the modification can shift the scale of the Landau pole in a scalar field theory with quartic interaction. We discover that the modifications speed up the onset of the Landau pole considerably, so that the scale of new physics occurs roughly at the nonlocality scale. Our results call into question, whether a separation between the nonlocality scale and the discreteness scale, which is postulated within causal set quantum gravity, and which has been argued to give rise to phenomenological consequences, is in fact achievable. Methodologically, our paper is the first to apply continuum functional Renormalization Group techniques in the context of a causal-set inspired setting.

KW - Causal sets

KW - Higgs mass

KW - Landau poles

KW - Renormalization group

U2 - 10.1007/s10714-023-03177-6

DO - 10.1007/s10714-023-03177-6

M3 - Journal article

AN - SCOPUS:85175724748

SN - 0001-7701

VL - 55

JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

IS - 11

M1 - 128

ER -