CP-violating top-Higgs coupling in SMEFT

The total cross section of the process μ−μ+→νμν¯μtt¯H has strong dependence on the CP phase ξ of the top Yukawa coupling, where the ratio of ξ=π and ξ=0 (SM) grows to 670 at s=30 TeV, 3400 at 100 TeV. We study the cause of the strong energy dependence and identify its origin as the (E/mW)2 growth of...

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Main Authors: Vernon Barger, Kaoru Hagiwara, Ya-Juan Zheng
Format: Article
Language:English
Published: Elsevier 2024-03-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269324001059
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author Vernon Barger
Kaoru Hagiwara
Ya-Juan Zheng
author_facet Vernon Barger
Kaoru Hagiwara
Ya-Juan Zheng
author_sort Vernon Barger
collection DOAJ
description The total cross section of the process μ−μ+→νμν¯μtt¯H has strong dependence on the CP phase ξ of the top Yukawa coupling, where the ratio of ξ=π and ξ=0 (SM) grows to 670 at s=30 TeV, 3400 at 100 TeV. We study the cause of the strong energy dependence and identify its origin as the (E/mW)2 growth of the weak boson fusion sub-amplitudes, WL−WL+→tt¯H, with the two W's are longitudinally polarized. We repeat the study in the SMEFT framework where EW gauge invariance is manifest and find that the highest energy cross section is reduced to a quarter of the complex top Yukawa model result, with the same energy power. By applying the Goldstone boson (GB) equivalence theorem, we identify the origin of this strong energy growth of the SMEFT amplitudes as associated with the dimension-6 π−π+ttH vertex, where π± denotes the GB of W±. We obtain the unitarity bound on the coefficient of the SMEFT operator by studying all 2→2 and 2→3 cross sections in the J=0 channel.
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spelling doaj.art-dddaaa4803b24fe9ad62ba88f52d63862024-03-14T06:13:32ZengElsevierPhysics Letters B0370-26932024-03-01850138547CP-violating top-Higgs coupling in SMEFTVernon Barger0Kaoru Hagiwara1Ya-Juan Zheng2Department of Physics, University of Wisconsin, Madison, WI 53706, USAKEK Theory Center and Sokendai, Tsukuba, Ibaraki 305-0801, JapanFaculty of Education, Iwate University, Morioka, Iwate 020-8550, Japan; Corresponding author.The total cross section of the process μ−μ+→νμν¯μtt¯H has strong dependence on the CP phase ξ of the top Yukawa coupling, where the ratio of ξ=π and ξ=0 (SM) grows to 670 at s=30 TeV, 3400 at 100 TeV. We study the cause of the strong energy dependence and identify its origin as the (E/mW)2 growth of the weak boson fusion sub-amplitudes, WL−WL+→tt¯H, with the two W's are longitudinally polarized. We repeat the study in the SMEFT framework where EW gauge invariance is manifest and find that the highest energy cross section is reduced to a quarter of the complex top Yukawa model result, with the same energy power. By applying the Goldstone boson (GB) equivalence theorem, we identify the origin of this strong energy growth of the SMEFT amplitudes as associated with the dimension-6 π−π+ttH vertex, where π± denotes the GB of W±. We obtain the unitarity bound on the coefficient of the SMEFT operator by studying all 2→2 and 2→3 cross sections in the J=0 channel.http://www.sciencedirect.com/science/article/pii/S0370269324001059
spellingShingle Vernon Barger
Kaoru Hagiwara
Ya-Juan Zheng
CP-violating top-Higgs coupling in SMEFT
Physics Letters B
title CP-violating top-Higgs coupling in SMEFT
title_full CP-violating top-Higgs coupling in SMEFT
title_fullStr CP-violating top-Higgs coupling in SMEFT
title_full_unstemmed CP-violating top-Higgs coupling in SMEFT
title_short CP-violating top-Higgs coupling in SMEFT
title_sort cp violating top higgs coupling in smeft
url http://www.sciencedirect.com/science/article/pii/S0370269324001059
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