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

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resonance continuum interference in gg h bb

_

Resonance-Continuum Interference in gg H  bb

Lance Dixon (CERN & SLAC)

and Yorgos Sofianatos (SLAC)

0812.3712

LCWS2010, CERN/Geneva, 19 October

motivation
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
motivation in pictures
Motivation in pictures

L. Dixon Resonance-Continuum Interference

motivation cont
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%.

motivation cont1
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.
amplitude interference
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

in search of a phase
In search of a phase

L. Dixon Resonance-Continuum Interference

Need

All mostly real in SM.

computing the phase
Computing the phase

L. Dixon Resonance-Continuum Interference

A little algebra 

2nd term dominates

Comes just from

this cut graph

analytical result
Analytical result

For all but very forward scattering angles, we can let mb 0

in the brackets, obtaining:

L. Dixon Resonance-Continuum Interference

numer ical result at 45
Numerical result at 45◦

L. Dixon Resonance-Continuum Interference

dependence on scattering angle
Dependence on scattering angle

L. Dixon Resonance-Continuum Interference

beyond sm
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

conclusions
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