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Hidden sector e ffects on double Higgs production near threshold. Work done with Alexandra Oliveira ( arXiv :1009.4497). Rogerio Rosenfeld Instituto de Física Teórica UNESP. Dedicated to the memory of Olivier Espinosa.
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Hidden sector effectsondoubleHiggs productionnearthreshold Work donewithAlexandra Oliveira (arXiv:1009.4497) RogerioRosenfeld Instituto de Física Teórica UNESP Dedicated to the memory of Olivier Espinosa VIII Simpósio Latinoamericano de Física de Altas Energias SILAFAE 2010 – Valparaíso – Chile
Idea: • many BSM modelswithnewinteractions in theHiggs sector: “Higgs portal” • newinteractions in theHiggs sector could lead to enhancements in Higgspairproductionnear • threshold(light Higgshasweakself-interactions) • H-H bound states • (Higgsium, GrinsteinandTrott 07) • gluondistributionfunctions are largestnearthreshold.
Idea: EffectiveggHHvertex Plehn, SpiraandZerwas (96) Possibleenhancement in Higgspairproductionnearthreshold due to newphysics: ... newscalarparticle
Analogousto Sommerfeldenhancementsinvoked in annihilationof DM particlesand similar to QCD corrections to top quark pairproductionnearthreshold: FadinandKhoze(87) Fadin, KhozeandSjostrand (90) StrasslerandPeskin (91) Hagiwara, SuminoandYokoya (08)
Toymodel: • Use opticaltheorem to findcorrection to thecrosssection: • is the amplitude for ggscattering via a higgs loop. • Goal: compute this amplitude in thenonrelativisticlimitincluding • contributionsfromthehidden sector.
Summingupladderdiagrams: Integral Bethe-Salpeterequation:
Nonrelativisticapproximation (after Fourier transform) results in a Schroedinger-likeequation: Solve equationnumerically.
Enhancementdependson: “strengthofnewinteraction” • Solidline: SM • = 0.01, 0.1, 0.3
Largeenhancements for largecouplings: Peaks are due to HH bound states belowthreshold • Solidline: SM • = 0.1, 0.7 and 1
Conclusions • InitialstudyontheenhancementofHiggspairproductionnearthresholddue to newphysics in Higgs sector; • Enhancementoccurs for strongcouplings; • Simplestmodelwithan extra scalarfield does not lead to enhancementsbecauseofmixing: • Signal: excessof 4 gaugebosonsproductionbelowHiggspairthreshold (small background)
ICTP-SouthAmericanInstitute for Fundamental Research • AgreementbetweentheStateUniversityof São Paulo (UNESP) and ICTP: • newinstitutewillbehostedby IFT-UNESP • UNESP willhire 5 researchers in 5 years (light teachingload) selectedbyan • internationalscientificcommitteeand 3 administrative staff • ICTP will help in organizingeventsandraisingfunds November 8