bounding the higgs width using interferometry l. dixon bounding the higgs widthradcor2013 1 lance...
TRANSCRIPT
![Page 1: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/1.jpg)
Bounding the Higgs Width using Interferometry
L. Dixon Bounding the Higgs width RADCOR2013 1
Lance Dixon (SLAC)with Ye Li [1305.3854] and Stefan HöcheRADCOR2013, Lumley Castle, England
Sept. 25, 2013
![Page 2: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/2.jpg)
Introduction• Often said that LHC cannot measure the
width of the Higgs boson.• However, using interference with the continuum
background for gg gg, it will be possible to put an upper limit on the Higgs width that is much better than ~ 1-5 GeV possible directly.
• It may eventually be possible to get close to the Standard Model width of 4 MeV.
• Similar idea can work for gg ZZ, far from Higgs resonance Kauer; Caola, Melnikov, 1307.4935
L. Dixon Bounding the Higgs width RADCOR2013 2
![Page 3: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/3.jpg)
Schrödinger’s Higgs
How to use quantum superposition
to learn something new about the Higgs (its lifetime)
L. Dixon Bounding the Higgs width RADCOR2013 3
![Page 4: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/4.jpg)
Narrow resonance interference
L. Dixon Bounding the Higgs width RADCOR2013 4
shifts peak position
(apparent mass)
or spin 2 “G”
(assume)
dominantly real
shifts peak height
(event yield)
![Page 5: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/5.jpg)
Interference effects and G
• All non-interference measurements at LHC give signal proportional to ci
2 . cf2/ G
• Invariant under scaling all ci,f uniformly,
ci,f x ci,f
G x4 G• Interference effects go like ci
. cf ,
break this degeneracy• Allow one to measure or bound Higgs width
L. Dixon Bounding the Higgs width RADCOR2013 5
LD, Y. Li 1305.3854
![Page 6: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/6.jpg)
Mass shift from real part
L. Dixon Bounding the Higgs width RADCOR2013 6
Smear lineshape with Gaussian with width s = 1.7 GeV
Perform least squares fit to Gaussian at mass M + dM dM ~ 100 MeV in SM at LO
S. Martin, 1208.1533, 1303.3342; D. de Florian et al, 1303.1397
![Page 7: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/7.jpg)
Diagrams for NLO mass shift LD, Y. Li, 1305.3854
L. Dixon Bounding the Higgs width RADCOR2013 7
Bern, de Freitas, LD, hep-ph/0109078
![Page 8: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/8.jpg)
Mass shift at NLO
• Reduced by 40% from LO LD, Y. Li, 1305.3854
• Interference increases, but signal increases more
L. Dixon Bounding the Higgs width RADCOR2013 8
![Page 9: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/9.jpg)
NLO mass shift vs. jet veto pT
L. Dixon Bounding the Higgs width RADCOR2013 9
![Page 10: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/10.jpg)
NLO mass shift vs. lower cut on Higgs pT
• Big cancellation between gg and qg channel at large pT
• Allows use of pT > 30 or 40 GeV sample as “control” mass L. Dixon Bounding the Higgs width RADCOR2013 10
Also S. Martin 1303.3342
![Page 11: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/11.jpg)
Two other possible control masses
1. ZZ* 4 leptons
2. Mass in gg in VBF enhanced sample LD, S. Hoeche, Y. Li, in progress
• In general, comparing two gg masses could reduce systematics associated with e g energy calibration.
L. Dixon Bounding the Higgs width RADCOR2013 11
Kauer,Passarino,1206.4803
![Page 12: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/12.jpg)
Mass shift increases with G
• Allows one to measure or bound Higgs width• All non-interference measurements at LHC
give signal proportional to ci2 . cf
2/ G• Interference effects go like ci
. cf ,
break degeneracy of scaling all ci,f uniformly,
ci,f x ci,f
G x4 G
L. Dixon Bounding the Higgs width RADCOR2013 12
![Page 13: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/13.jpg)
Coupling vs. width
• Coupling product cg . cg = cgg determined
by requiring that event yield is unaffected:
• Ignoring I,
L. Dixon Bounding the Higgs width RADCOR2013 13
![Page 14: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/14.jpg)
Mass shift vs. width
• Measurement statistically limited now, ~ 800 MeV• Systematically limited in HL-LHC era, ~ 100-200 MeV
L. Dixon Bounding the Higgs width RADCOR2013 14
![Page 15: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/15.jpg)
What about spin 2?
• Rejection of spin 2 vs. spin 0
relies on distribution in
cosq* for gg .gg• Without interference, this is
~ 1 spin 0
~ 1 + 6 cos2q* + cos4q* 2m+
• How much distortion from
interference effects?• SM Higgs: < few % LD, Siu, hep-ph/0302233
L. Dixon Bounding the Higgs width RADCOR2013 15
LD, Höche, Li, to appear
ATLAS, 1307.1432
![Page 16: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/16.jpg)
Strong helicity dependence of Im part of background 1-loop amplitude
L. Dixon Bounding the Higgs width RADCOR2013 16
Im
+
-
+-+
+-= O(mq
2/mH2) ~ 0
Im
+-+
+-= O(1)
Spin 0
Spin 2m+
Non-minimalspin 2 can interfere withother helicity amplitudes,but only thishelicity config.has Im part
Dicus, Willenbrock (1988)
![Page 17: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/17.jpg)
(spin 2) - 1-loop interference simple
L. Dixon Bounding the Higgs width RADCOR2013 17
G
![Page 18: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/18.jpg)
Im part remarkably flat in cosq
L. Dixon Bounding the Higgs width RADCOR2013 18
LO pT cut
![Page 19: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/19.jpg)
Size of interference as function of width G
L. Dixon Bounding the Higgs width RADCOR2013 19
• Event yield ~ • Normalize to SM Higgsat photon pT
cut = 40 GeV.• Quadratic equation for• Constructive, destructive solutions • Completely model independent with respect to coupling strengths,other channels.
![Page 20: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/20.jpg)
Spin 2 yield might be strongly affected– even if cosq* distribution is not
L. Dixon Bounding the Higgs width RADCOR2013 20
![Page 21: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/21.jpg)
Conclusions• Interference effects, in particular the mass shift in gg, allow the possibility of bounding the Higgs width to well under the direct experimental resolution, maybe eventually approaching the SM width. Now under study experimentally.
• A few possible control masses.• In principle, interference effects also important for
testing non-SM hypotheses – e.g. spin 2 in gg. In practice, distortion of the cosq* distribution is very small where it is measurable.
L. Dixon Bounding the Higgs width RADCOR2013 21
![Page 22: Bounding the Higgs Width using Interferometry L. Dixon Bounding the Higgs widthRADCOR2013 1 Lance Dixon (SLAC) with Ye Li [1305.3854] and Stefan Höche](https://reader036.vdocument.in/reader036/viewer/2022081519/56649ee15503460f94bf25d7/html5/thumbnails/22.jpg)
Spin-2 mass shift from real part
L. Dixon Bounding the Higgs width RADCOR2013 22
Smear lineshape with Gaussian with width s = 1.7 GeV.Do least squares fit to Gaussian at mass M + dM.