We extend a well-known mass-gap equation for pure gluodynamics in global colour models(formulated in equal-time quantization in Coulomb gauge)to one in which gluons are split into two sets,each exhibiting different ma...We extend a well-known mass-gap equation for pure gluodynamics in global colour models(formulated in equal-time quantization in Coulomb gauge)to one in which gluons are split into two sets,each exhibiting different masses.If the theory is SU(N)×SU(M)with gluons in both groups having identical couplings(as suggested by Grand Unification arguments at large scales)it is immediate to see that different masses are generated for each subgroup.This global symmetry is not broken,but the split masses erase accidental symmetries that might be present due to the two couplings being the same at a large scale,such as SU(N×M)or similar.We also numerically explore a couple of low-dimensional examples of simple Lie groups,but in spite of the system of equations having a form that would seem to allow spontaneous symmetry breaking,it is not triggered for these groups whose algebra has no ideal,and the dispersion relations for the various gluons converge to the same form.展开更多
By embedding the Standard Model effective field theory(SMEFT) in the more general Higgs effective field theory(HEFT), we expose correlations among the coefficients of the latter that, if found to be violated in future...By embedding the Standard Model effective field theory(SMEFT) in the more general Higgs effective field theory(HEFT), we expose correlations among the coefficients of the latter that, if found to be violated in future data, would lead to the experimental falsification of the SMEFT framework. These are derived from the necessary symmetric point of HEFT and analyticity of the SMEFT Lagrangian that allows the construction of the SMEFT expansion, as laid out by other groups, and properties at that point of the Higgs-flare function F(h) coupling Goldstone and Higgs bosons, of the Higgs potential V(h) and of the Higgs-top quark coupling function G(h).展开更多
基金supported by the EU under grant 824093(STRONG2020)spanish MICINN under PID2019-108655GBI00/AEI/10.13039/501100011033,PID2019-106080GB-C21 and PRX23/00225(estancias en el extranjero)Univ.Complutense de Madrid under research group 910309 and the IPARCOS institute。
文摘We extend a well-known mass-gap equation for pure gluodynamics in global colour models(formulated in equal-time quantization in Coulomb gauge)to one in which gluons are split into two sets,each exhibiting different masses.If the theory is SU(N)×SU(M)with gluons in both groups having identical couplings(as suggested by Grand Unification arguments at large scales)it is immediate to see that different masses are generated for each subgroup.This global symmetry is not broken,but the split masses erase accidental symmetries that might be present due to the two couplings being the same at a large scale,such as SU(N×M)or similar.We also numerically explore a couple of low-dimensional examples of simple Lie groups,but in spite of the system of equations having a form that would seem to allow spontaneous symmetry breaking,it is not triggered for these groups whose algebra has no ideal,and the dispersion relations for the various gluons converge to the same form.
基金Supported by Spanish MICINN PID2019-108655GB-I00/ AEI/10.13039/501100011033 grantUniversidad Complutense de Madrid under research group 910309+4 种基金the IPARCOS instituteERC Starting Grant REINVENT714788UCM CT42/18-CT43/18the Fondazione Cariplo and Regione Lombardia, grant 2017-2070Grant DataSMEFT23 (EUNext Generation—PNRR—DM 247 08/22)。
文摘By embedding the Standard Model effective field theory(SMEFT) in the more general Higgs effective field theory(HEFT), we expose correlations among the coefficients of the latter that, if found to be violated in future data, would lead to the experimental falsification of the SMEFT framework. These are derived from the necessary symmetric point of HEFT and analyticity of the SMEFT Lagrangian that allows the construction of the SMEFT expansion, as laid out by other groups, and properties at that point of the Higgs-flare function F(h) coupling Goldstone and Higgs bosons, of the Higgs potential V(h) and of the Higgs-top quark coupling function G(h).
