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Influence of the quartic couplingsλ i on the higgs mass spectrum

Влияние квадратичных свяэейλ i на спектр масс Хиггса

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Il Nuovo Cimento A (1965-1970)

Summary

Redefining dimensional transmutation asλ i=λ i(v 2=v 21 +v 22 ;x 2=v 21 /v 22 ;m 2n /m 20 ,m 2ch /m 20 ), this influence on the Higgs mass spectrum allows us to demonstrate that, in case of two Higgs doubletsφ 1,2 with 〈φ 1,2〉0=v 1,2 for Higgs-gauge boson interactions, only the Coleman-Weinberg (CW) mechanism withm CW0 ∼9.63 GeV works quite well in the range of 9 GeV⩽⩽m 0,±H ≲30 GeV, whereas in case of charged (ch) and neutral (n) Higgs bosons in the range of 0.7 GeV ≲m ch≲2.2 GeV for 102≳x 2≳1 and 0≲m n≲1.5 GeV in 1≲x 2≲10, a region mainly excluded by the data, the effective potentialV eff, has at least a second minimum. The influence of fermions on this prediction is of about 10%.

Riassunto

Ridefinendo la trasmutazione dimensionale comeλ i=λ i(v 2=v 21 +v 22 ;x 2=v 21 /v 22 ;m 2n /m 20 ,m 2ch /m 20 ), questa influenza sullo spettro di massa di Higgs permette di dimostrare che nel caso di due doppietti di Higgsφ 1,2 con 〈φ 1,2〉0=v 1,2 per le interazioni dei bosoni di gauge di Higgs, solo il meccanismo di Coleman-Weinberg (CW) conm CW0 ∼9.63 GeV funziona abbastanza bene nell’intervallo 9 GeV⩽m 0,±H ≲30 GeV, mentre nel caso dei bosoni di Higgs carichi (ch) e neutri (n) nell’intervallo 0.7 GeV ≲m ch≲2.2 GeV per 102≳x 2≳1 e 0≲m n≲1.5 GeV in 1≲x 2≲10, una regione molte volte esclusa dai dati, il potenziale efficaceV eff, ha almeno un secondo minimo. L’influenza dei fermioni su questa previsione è di circa il 10%.

Реэюме

Раэмерные преобраэованияλ i=λ i(v 2=v 21 +v 22 ;x 2=v 21 /v 22 ;m 2n /m 20 ;m 2ch /m 20 ) обнаруживают влияние на спектр масс Хиггса. Покаэывается, что в случае двух дублетов Хиггсаφ 1,2 con 〈φ 1,2〉0=v 1,2 для Хиггс-калибровочных боэонных вэаимодействий работает только механиэм Колемана-Вайнберга сm CW0 ∼ 9.63 GeV в области 9 GeV⩽m 0,±H ⩽30 ГзB, тогда как в случве эаряженного (ch) и нейтрального (n) боэонов Хиггса в области 0.7 ГзB ≲m ch≲2.2 ГзB для 102≳x 2≳1 и 0≲m n≲1.5 ГзB в 1≲x 2≲10, т.е. в области, где в основном отсутствуют данные, зффективный потенциал V3ф имеет, по крайней мере, второй минимум. Влияние фермионов на зто предскаэание составляет около 10%.

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  1. R. Rodenberg

    Present address: CERN-TH-Division, UK

Authors and Affiliations

  1. III. Physikalisches Institut, TH Aachen, Abteilung für Theoretische Elementarteilchenphysik, Aachen, BRD

    R. Rodenberg

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Rodenberg, R. Influence of the quartic couplingsλ i on the higgs mass spectrum. Nuov Cim A 99, 95–105 (1988). https://doi.org/10.1007/BF02735215

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