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• W2940376499 abstract "Abstract We compute the Higgs plus two-quark and one-gluon amplitudes ( <?CDATA $Hto qbar{q}g$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi>H</mml:mi> <mml:mo>→</mml:mo> <mml:mi>q</mml:mi> <mml:mover accent=true> <mml:mrow> <mml:mi>q</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> <mml:mi>g</mml:mi> </mml:math> ) and Higgs plus three-gluon amplitudes ( <?CDATA $Hto 3g$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi>H</mml:mi> <mml:mo>→</mml:mo> <mml:mn>3</mml:mn> <mml:mi>g</mml:mi> </mml:math> ) in the Higgs effective theory with a general class of operators. By changing the quadratic Casimir C F to C A , the maximally transcendental parts of the <?CDATA $Hto qbar{q}g$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi>H</mml:mi> <mml:mo>→</mml:mo> <mml:mi>q</mml:mi> <mml:mover accent=true> <mml:mrow> <mml:mi>q</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> <mml:mi>g</mml:mi> </mml:math> amplitudes turn out to be equivalent to that of the <?CDATA $Hto 3g$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi>H</mml:mi> <mml:mo>→</mml:mo> <mml:mn>3</mml:mn> <mml:mi>g</mml:mi> </mml:math> amplitudes, which also coincide with the counterparts in <?CDATA ${ mathcal N }=4$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi mathvariant=italic></mml:mi> <mml:mo>=</mml:mo> <mml:mn>4</mml:mn> </mml:math> SYM. This generalizes the so-called maximal transcendentality principle to the Higgs amplitudes with external quark states, thus the full QCD theory. We further verify that the correspondence applies also to two-loop form factors of more general operators, in both QCD and scalar-YM theory. Another interesting relation is also observed between the planar <?CDATA $Hto qbar{q}g$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi>H</mml:mi> <mml:mo>→</mml:mo> <mml:mi>q</mml:mi> <mml:mover accent=true> <mml:mrow> <mml:mi>q</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> <mml:mi>g</mml:mi> </mml:math> amplitudes and the minimal density form factors in <?CDATA ${ mathcal N }=4$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi mathvariant=italic></mml:mi> <mml:mo>=</mml:mo> <mml:mn>4</mml:mn> </mml:math> SYM." @default.
• W2940376499 created "2019-04-25" @default.
• W2940376499 creator A5021131141 @default.
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• W2940376499 date "2020-05-19" @default.
• W2940376499 modified "2023-09-27" @default.
• W2940376499 title "Hidden analytic relations for two-loop Higgs amplitudes in QCD" @default.
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• W2940376499 doi "https://doi.org/10.1088/1572-9494/ab7ed8" @default.
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