We present a general method of constructing unfactorizable on-shell amplitudes(amplitude basis) and build up their one-to-one correspondence to the independent and complete operator basis in effective field theory(EFT...We present a general method of constructing unfactorizable on-shell amplitudes(amplitude basis) and build up their one-to-one correspondence to the independent and complete operator basis in effective field theory(EFT).We apply our method to the Standard Model EFT and identify the amplitude basis in dimensions 5 and 6,which correspond to the Weinberg operator and operators in the Warsaw basis,except for some linear combinations.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
The Wilson coefficients of the standard model effective field theory are subject to a series of positivity bounds.It has been shown that while the positivity part of the ultraviolet(UV)partial wave unitarity leads to ...The Wilson coefficients of the standard model effective field theory are subject to a series of positivity bounds.It has been shown that while the positivity part of the ultraviolet(UV)partial wave unitarity leads to the Wilson coefficients living in a convex cone,further including the nonpositivity part caps the cone from above.For Higgs scattering,a capped positivity cone was obtained using a simplified,linear unitarity condition without utilizing the full internal symmetries of Higgs scattering.Here,we further implement stronger nonlinear unitarity conditions from the UV,which generically gives rise to better bounds.We show that,for the Higgs case in particular,while the nonlinear unitarity conditions per se do not enhance the bounds,the fuller use of the internal symmetries do shrink the capped positivity cone significantly.展开更多
基金supported in part by a project (Y6Y2581B11) funded by 2016 National Postdoctoral Program for Innovative Talentssupported by the National Nat-ural Science Foundation of China (NSFC)(11847612,11690022,11851302,11675243,11761141011)+1 种基金supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (XDB21010200,XDB23000000)supported by the 2019 International Postdoctoral Exchange Fellowship Program。
文摘We present a general method of constructing unfactorizable on-shell amplitudes(amplitude basis) and build up their one-to-one correspondence to the independent and complete operator basis in effective field theory(EFT).We apply our method to the Standard Model EFT and identify the amplitude basis in dimensions 5 and 6,which correspond to the Weinberg operator and operators in the Warsaw basis,except for some linear combinations.
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).
基金supported by the Fundamental Research Funds for the Central Universities(WK2030000036)the National Natural Science Foundation of China(12075233).
文摘The Wilson coefficients of the standard model effective field theory are subject to a series of positivity bounds.It has been shown that while the positivity part of the ultraviolet(UV)partial wave unitarity leads to the Wilson coefficients living in a convex cone,further including the nonpositivity part caps the cone from above.For Higgs scattering,a capped positivity cone was obtained using a simplified,linear unitarity condition without utilizing the full internal symmetries of Higgs scattering.Here,we further implement stronger nonlinear unitarity conditions from the UV,which generically gives rise to better bounds.We show that,for the Higgs case in particular,while the nonlinear unitarity conditions per se do not enhance the bounds,the fuller use of the internal symmetries do shrink the capped positivity cone significantly.
