Low energy gauge couplings in grand unified theories and high precision physics
Abstract
I generalize the leading log relations between low energy SU(3){sub QCD}, SU(2){sub {rvec I}} and U(l){sub Y} effective gauge couplings to include all oneloop threshold effects of matter fields in oblique vector self energy quantum corrections for both supersymmetric and nonsupersymmetric SU(5) grand unified theories. These always involve an exactly conserved current from the unbroken SU(3){sub QCD} {times} U(L){sub QED} subgroup; this fact strongly constrains any nondecoupling of heavy states as well as the generic character of threshold effects. Relations between low energy gauge couplings depend on the details of the spectra of both the superheavy and low mass sectors; I display the common origin of the logs appropriate to superheavy matter states, which can be found with well known renormalization group techniques, and the combination of logs and polynomials appropriate for light matter states, which cannot. Relations between any two or all three low energy effective gauge couplings do not depend on the top quark or standard model Higgs` masses. Neither do they depend on neutral color singlet states such as other neutral color singlet Higgs` or higgsinos, neutrinos, zinos or photinos. Further, they do not depend on degenerate SU(5) matter representations, of either spin 0 or spin 1/2more »
 Authors:
 Stanford Univ., CA (United States). Dept. of Physics[Superconducting Super Collider Lab., Dallas, TX (United States)
 Publication Date:
 Research Org.:
 Superconducting Super Collider Lab., Dallas, TX (United States)
 Sponsoring Org.:
 USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States); Texas National Research Lab. Commission, De Soto, TX (United States)
 OSTI Identifier:
 72681
 Report Number(s):
 SSCLPreprint50693; SUITP9322
ON: DE95011205; CNN: NSFPHY8917438; TRN: 95:015269
 DOE Contract Number:
 AC3589ER40486
 Resource Type:
 Technical Report
 Resource Relation:
 Other Information: PBD: Sep 1993
 Country of Publication:
 United States
 Language:
 English
 Subject:
 66 PHYSICS; GRAND UNIFIED THEORY; GAUGE INVARIANCE; SUPERSYMMETRY
Citation Formats
Lynn, B.W. Low energy gauge couplings in grand unified theories and high precision physics. United States: N. p., 1993.
Web. doi:10.2172/72681.
Lynn, B.W. Low energy gauge couplings in grand unified theories and high precision physics. United States. doi:10.2172/72681.
Lynn, B.W. 1993.
"Low energy gauge couplings in grand unified theories and high precision physics". United States.
doi:10.2172/72681. https://www.osti.gov/servlets/purl/72681.
@article{osti_72681,
title = {Low energy gauge couplings in grand unified theories and high precision physics},
author = {Lynn, B.W.},
abstractNote = {I generalize the leading log relations between low energy SU(3){sub QCD}, SU(2){sub {rvec I}} and U(l){sub Y} effective gauge couplings to include all oneloop threshold effects of matter fields in oblique vector self energy quantum corrections for both supersymmetric and nonsupersymmetric SU(5) grand unified theories. These always involve an exactly conserved current from the unbroken SU(3){sub QCD} {times} U(L){sub QED} subgroup; this fact strongly constrains any nondecoupling of heavy states as well as the generic character of threshold effects. Relations between low energy gauge couplings depend on the details of the spectra of both the superheavy and low mass sectors; I display the common origin of the logs appropriate to superheavy matter states, which can be found with well known renormalization group techniques, and the combination of logs and polynomials appropriate for light matter states, which cannot. Relations between any two or all three low energy effective gauge couplings do not depend on the top quark or standard model Higgs` masses. Neither do they depend on neutral color singlet states such as other neutral color singlet Higgs` or higgsinos, neutrinos, zinos or photinos. Further, they do not depend on degenerate SU(5) matter representations, of either spin 0 or spin 1/2 of any mass; matter representations of SU(5) can affect such relations only if there is mass splitting within them. The b quark splitting from the {tau} and {nu}{sub {tau}} can affect the relation between gauge couplings for {vert_bar}q{sub 2}{vert_bar} {yields} m{sub b}{sup 2} as can hadronic resonances and multihadron states for lower {vert_bar}q{sub 2}{vert_bar}. New masssplit representations of light states, such as occur in supersymmetric theories, can also affect such relations.},
doi = {10.2172/72681},
journal = {},
number = ,
volume = ,
place = {United States},
year = 1993,
month = 9
}

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