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Resonance-Continuum Interference in Higgs Boson Decay: Motivations and Implications

This study explores the resonance-continuum interference in the decay of the Higgs boson, focusing on motivations and implications. The analysis delves into the significance of interference effects on the continuum background, experimental uncertainties, and potential deviations from the Standard Model. Various theoretical and numerical results are presented to elucidate the impact of interference in different decay modes. The conclusion discusses the implications of enhanced Yukawa couplings on interference effects, highlighting the need for further investigation in non-SM scenarios.

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Resonance-Continuum Interference in Higgs Boson Decay: Motivations and Implications

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  1. _ Resonance-Continuum Interference in gg H  bb Lance Dixon (CERN & SLAC) and Yorgos Sofianatos (SLAC) 0812.3712 LCWS2010, CERN/Geneva, 19 October

  2. Motivation L. Dixon Resonance-Continuum Interference • One of the principal motivations for building a ggcollider is to produce a light Higgs boson viagg H, and then detect its dominant decay to b quark pairs. • In order to extract Higgs couplings, would like to interpret the size of the bump as • But this is not necessarily true if the signal interferes appreciably with the continuum background, in this case

  3. Motivation in pictures L. Dixon Resonance-Continuum Interference

  4. Motivation (cont.) L. Dixon Resonance-Continuum Interference For the anticipated experimental uncertainty in assuming 80 fb-1 in the high-energy peak and mH < 140 GeV is 2% Melles, Stirling, Khoze, hep-ph/9970238; Ginsburg, Krawczyk, Osland, hep-ph/0101208, hep-ph/0101229; Soldner-Rembold, Jikia, hep-ex/0101056; Niezurawski, Zarnecki and Krawczyk, hep-ph/0208034, hep-ph/0307183; Nieurawski, hep-ph/0503295, hep-ph/0507004; Bechtel et al., physics/0601204; K. Monig and A. Rosca, 0705.1259. So we should check whether the peak height is equal to this quantity to better than 2%.

  5. Motivation (cont.) L. Dixon Resonance-Continuum Interference • Another place resonance-continuum interference could be significant is in the SM Higgs gg decay mode at the LHC (gluon fusion production). LD, Siu, hep-ph/0302233 • Here effect is 3-5%, smaller than currently envisaged experimental uncertainties, and smaller than some of the estimated theoretical uncertainties (but not all). • But not a lot smaller.

  6. Amplitude interference Dicus, Stange, Willenbrock, hep-ph/9404359 L. Dixon Resonance-Continuum Interference Total amplitude: Interference term has 2 pieces: First term vanishes upon integration overas long as don’t vary too quickly

  7. In search of a phase L. Dixon Resonance-Continuum Interference Need All mostly real in SM.

  8. Computing the phase L. Dixon Resonance-Continuum Interference A little algebra  2nd term dominates Comes just from this cut graph

  9. Analytical result For all but very forward scattering angles, we can let mb 0 in the brackets, obtaining: L. Dixon Resonance-Continuum Interference

  10. Numerical result at 45◦ L. Dixon Resonance-Continuum Interference

  11. Dependence on scattering angle L. Dixon Resonance-Continuum Interference

  12. Beyond SM? • We did not study this very thoroughly; however, d scales • withYukawa coupling lb (for a while): • E.g., MSSM “intense coupling regime” can have large lb • Boos, Djouadi, Muhlleitner, Vologdin, hep-ph/0205160; • Boos Djouadi, Nikitenko, hep-ph/0307079 • As an example, we took lb = 20 x lb(SM) • d = - 4% for mH = 130 GeV, q = 45◦ . • (Now is significant too.) L. Dixon Resonance-Continuum Interference

  13. Conclusions • In the SM, resonance-continuum interference in the process is safely below the anticipated experimental uncertainties for • However, if there is evidence that the b quark Yukawa coupling is greatly enhanced over that in the SM, then the interference effect could be significant and should be investigated further, as a function of model parameters. L. Dixon Resonance-Continuum Interference

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