TY - JOUR

T1 - String landscape and fermion masses

AU - Andriolo, Stefano

AU - Li, Shing Yan

AU - Tye, S. H.Henry

N1 - Publisher Copyright:
© 2020 authors. Published by the American Physical Society.

PY - 2020/3/15

Y1 - 2020/3/15

N2 - Besides the string scale, string theory has no parameter except some quantized flux values, and the string theory Landscape is generated by scanning over discrete values of all the flux parameters present. We propose that a typical (normalized) probability distribution P(Q) of a physical quantity Q (with non-negative dimension) tends to peak (diverge) at Q=0 as a signature of string theory. In the Racetrack Kähler uplift model, where P(Λ) of the cosmological constant Λ peaks sharply at Λ=0, the electroweak scale (not the electroweak model) naturally emerges when the median Λ is matched to the observed value. We check the robustness of this scenario. In a bottom-up approach, we find that the observed quark and charged lepton masses are consistent with the same probabilistic philosophy, with distribution P(m) that diverges at m=0, with the same (or almost the same) degree of divergence. This suggests that the Standard Model has an underlying string theory description, and yields relations among the fermion masses, albeit in a probabilistic approach (very different from the usual sense). Along this line of reasoning, the normal hierarchy of neutrino masses is clearly preferred over the inverted hierarchy, and the sum of the neutrino masses is predicted to be mν≃0.0592 eV, with an upper bound mν<0.066 eV. This illustrates a novel way string theory can be applied to particle physics phenomenology.

AB - Besides the string scale, string theory has no parameter except some quantized flux values, and the string theory Landscape is generated by scanning over discrete values of all the flux parameters present. We propose that a typical (normalized) probability distribution P(Q) of a physical quantity Q (with non-negative dimension) tends to peak (diverge) at Q=0 as a signature of string theory. In the Racetrack Kähler uplift model, where P(Λ) of the cosmological constant Λ peaks sharply at Λ=0, the electroweak scale (not the electroweak model) naturally emerges when the median Λ is matched to the observed value. We check the robustness of this scenario. In a bottom-up approach, we find that the observed quark and charged lepton masses are consistent with the same probabilistic philosophy, with distribution P(m) that diverges at m=0, with the same (or almost the same) degree of divergence. This suggests that the Standard Model has an underlying string theory description, and yields relations among the fermion masses, albeit in a probabilistic approach (very different from the usual sense). Along this line of reasoning, the normal hierarchy of neutrino masses is clearly preferred over the inverted hierarchy, and the sum of the neutrino masses is predicted to be mν≃0.0592 eV, with an upper bound mν<0.066 eV. This illustrates a novel way string theory can be applied to particle physics phenomenology.

UR - http://www.scopus.com/inward/record.url?scp=85083766839&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.101.066005

DO - 10.1103/PhysRevD.101.066005

M3 - Article

AN - SCOPUS:85083766839

SN - 2470-0010

VL - 101

JO - Physical Review D

JF - Physical Review D

IS - 6

M1 - 066005

ER -