Next-to-leading power SCET in Higgs amplitudes induced by light quarks
- Publikationstyp:
- Zeitschriftenaufsatz
- Metadaten:
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- Abstract
- <jats:p>In this article, we report how to use the "plus-type" subtraction scheme to deal with endpoint divergences in <jats:inline-formula><jats:alternatives><jats:tex-math>h\rightarrow\gamma\gamma</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mo>→</mml:mo><mml:mi>γ</mml:mi><mml:mi>γ</mml:mi></mml:mrow></mml:math></jats:alternatives></jats:inline-formula> or <jats:inline-formula><jats:alternatives><jats:tex-math>gg\rightarrow h</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mi>g</mml:mi><mml:mo>→</mml:mo><mml:mi>h</mml:mi></mml:mrow></mml:math></jats:alternatives></jats:inline-formula> amplitudes induced by light quark loop, which can be formulated by next-to-leading power (NLP) SCET. This subtraction is ensured by two re-factorization conditions, which have been proven to all orders in <jats:inline-formula><jats:alternatives><jats:tex-math>\alpha_s</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>α</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:math></jats:alternatives></jats:inline-formula>. Based on these conditions, cutoffs emerge naturally after some re-arrangements to handle endpoint divergences and renormalization is compatible with that. Our formalism can analytically reproduce three-loop amplitudes up to <jats:inline-formula><jats:alternatives><jats:tex-math>\ln^3(-M_h^2/m_b^2-i0)</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mo>ln</mml:mo><mml:mn>3</mml:mn></mml:msup><mml:mo stretchy="false" form="prefix">(</mml:mo><mml:mo>−</mml:mo><mml:msubsup><mml:mi>M</mml:mi><mml:mi>h</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:mi>/</mml:mi><mml:msubsup><mml:mi>m</mml:mi><mml:mi>b</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:mo>−</mml:mo><mml:mi>i</mml:mi><mml:mn>0</mml:mn><mml:mo stretchy="false" form="postfix">)</mml:mo></mml:mrow></mml:math></jats:alternatives></jats:inline-formula> and resum to next-to-leading logarithm and beyond.</jats:p>
- Autoren
- Xing Wang
- DOI
- 10.21468/scipostphysproc.7.040
- eISSN
- 2666-4003
- Ausgabe der Veröffentlichung
- 7
- Zeitschrift
- SciPost Physics Proceedings
- Artikelnummer
- 040
- Online publication date
- 2022
- Status
- Published online
- Herausgeber
- Stichting SciPost
- Herausgeber URL
- http://dx.doi.org/10.21468/scipostphysproc.7.040
- Datum der Datenerfassung
- 2022
- Titel
- Next-to-leading power SCET in Higgs amplitudes induced by light quarks
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