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July 21-27, 2005
HEP2005 Conference, Lisboa
Miguel A. Sanchis-Lozano
(IFIC Valencia)
1
Searching for NNeeww Physicsin
Bottomonium Decays
Department of Theoretical Physics & IFICUniversity of Valencia CSIC
Spain
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July 21-27, 2005
HEP2005 Conference, Lisboa
Miguel A. Sanchis-Lozano
(IFIC Valencia)
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Lepton Universality Breaking?
0.00 0.132.03 0.28 %2.03 0.08 %(2S)
0.06 0.042.64 0.16 %2.49 0.07 %(1S)
0.30 1.231.70 1.60 %1.31 0.21 %(2S)
0.12 0.082.67 0.16 %2.38 0.11 %(1S)
0.08 0.072.67 0.16 %2.48 0.06 %(1S)
0.05 0.092.51 0.26 %2.39 0.12 %(3S)
0.27 1.201.70 1.60 %1.34 0.20 %(2S)
R/BF[+-]BF[+ -]BF[e+e-]Channel: *
Four first rows: from 2004 PDG listing without recent CLEO measurements Three last rows: from new CLEO data (talk by J. Duboscq)
Statistical and systematic (conservative) errors are summed in quadrature
LU
=
=
=
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July 21-27, 2005
HEP2005 Conference, Lisboa
Miguel A. Sanchis-Lozano
(IFIC Valencia)
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Lepton Universality Breaking?
LU
R/l0.0 0.1 0.2- 0.1
All seven independent experimental measurements of R/l(nS)
R/e(1S)
R/(1S)
R/e(2S)
R/
(2S)
R/(1S)
R/(2S)
R/(3S)
0.3 1.5
Hypothesis test:Lepton universality can be rejected
at a level of significance of 5%
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July 21-27, 2005
HEP2005 Conference, Lisboa
Miguel A. Sanchis-Lozano
(IFIC Valencia)
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Lepton Universality Breaking?
(nS) s A0 ( )
Such NP contribution would be unwittingly ascribed tothe leptonic branching fraction (photon undetected!):
actually only for the tauonic decay mode
A leptonic mass dependence of the decay width would
break lepton universality. The importance of the
NP contribution can be assessed using the ratio
!
=
+=
Van Royen-Weisskopf formula
Notice that a light non-standard Higgs
boson has not been excluded by LEP
direct searches for a broad range ofmodel parameters in different scenarios
n=1,2,3 and A0 stands for a light (possibly CP-odd) Higgs particle
-
+A0
s
M1 transition
Prejudice against a light Higgs?
b intermediatestate or bb continuum"
"
Tree-level NP processtheoretically very simple!
Our conjecture to interpret a possible Lepton Universality breakdown
photon unseen!
LU
+
Key ideas:
=
=
=
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HEP2005 Conference, Lisboa
Miguel A. Sanchis-Lozano
(IFIC Valencia)
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###### $!
==
###### $
!
==
A large value of tan would imply a large A0 coupling to the bottom quark but a small coupling
(i.e. small cot ) to the charm quark. Therefore, in the quest for NP effects we will focus onbottomonium decays and spectroscopy but not on charmonium
tan stands for the 2 Higgs VEVs ratio/ and v=246 GeV
*The MSSM is a particular 2HDM(II) realizationCPC: 1 CP-odd Higgs (A0)
2 CP-even Higgses
h0 =-1sin +2cos
H0= 1sin -2cos2 charged H
At tree level:
In a general 2HDM:
Coupling of fermions and the CP-odd Higgs A0
In a 2HDM of type II
CPV MSSM
Two-Higgs Doublet Model (II)*
Higgs sector
=
=
++
!!%#%
At one-loop level, MSSM with complex parameters is not CP conserving
The three Higgs neutral bosons mix together and the resulting three physical mass eigenstatesH1, H2 and H3 (MH1 < MH2 < MH3) have mixed parities
Higgs couplings to the Z boson would vary: the H1ZZ coupling can be significantly suppressed
raising the possibility of a relatively light H1 boson having evaded detection at LEP [hep-ph/0211467]
composite Higgs [hep-ph/0008192]extra dimensions: e.g. graviscalars, radions [hep-ph/9811350]
&
' +=
( ) $
'
! +=
Other scenarios
Kyle Hollingsworths CD"Never odd or even"
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July 21-27, 2005
HEP2005 Conference, Lisboa
Miguel A. Sanchis-Lozano
(IFIC Valencia)
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Light Higgs windows at LEP (2HDM(II))
hep-ex/0408097hep-ex/0408097
Excluded (mA,mh) region independent of the CP even Higgs
mixing angle , from flavor-independent and b-taggingsearches at LEP interpreted according to a 2HDM(II)
Excluded regions in the (mA,tan) plane for different choices of .In the MSSM -/2 0 ; in a general 2HDM(II) -/2 /2
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July 21-27, 2005
HEP2005 Conference, Lisboa
Miguel A. Sanchis-Lozano
(IFIC Valencia)
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Light Higgs windows at LEP (MSSM CPV)
hep-ex/0406057hep-ex/0406057
hep-ex/0406057
CPX MSSM 95% exclusion areas using scans with different values
of arg (At,b). The region excluded by Yukawa searches, Z-widthconstraints or decay independent searches is shown in red
CPX MSSM 95% exclusion areas using scans with different
values of the top mass
Diagram illustrating the effective coupling of a Higgsmass eigenstate H1 to the Z. Only the CP-even admixtureh and H couple to Z while the CP-odd A does not: hencethe coupling of the H1 is reduced wrt a CPC scenario.
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July 21-27, 2005
HEP2005 Conference, Lisboa
Miguel A. Sanchis-Lozano
(IFIC Valencia)
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Next-to-Minimal Supersymmetric Standard Model (NMSSM)
Higgs sector in the NMSSM: (seven)
2 neutral CP-odd Higgs bosons (a1,2)3 neutral CP-even Higgs bosons (h1,2,3 )2 charged Higgs bosons (h)
A new singlet superfield is added to the Higgs sector:
>
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July 21-27, 2005
HEP2005 Conference, Lisboa
Miguel A. Sanchis-Lozano
(IFIC Valencia)
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Contribution from the continuum
[ ]
)
!*
=
+
( )
(
(
+
+ =
Let us perform a perturbative calculation of the contribution from the continuum, i.e.
without formation of intermediate bound states assuming the Higgs boson off-shell
(
*
!
!
=
Numerica
lestima
tes
Rather large values of tan (are needed to obtain R ~ 10%
[ ]
+ >
#
! !
!
!
(
where the square amplitude is
and the decay width (leading term):
(nS) A0 ( )
Higgs boson on-shell
=
"
!
Wilczek formula
R=0.1
tan ~ 15
Somewhat higher values of tanfor the relativistic treatment
""
One should also consider:
Experimentally excluded region +nothing:BF < 1.3 x10-5 for MA0 < 5 GeV
[CLEO, PRD 51, 2053 (1995)]
!
+
,- !
+ B(A0 + -) 1
even for moderate tan
Eschers sky and waterImage source:
National Gallery of Canada
. !
!.
MY-MA=0.25 GeV
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Miguel A. Sanchis-Lozano
(IFIC Valencia)
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Intermediate bound states
""++
"
("
"(
"
=
=
(nS) s b ( A0* (H1
*) )
""
!(
!"
= +
("
+
+
/!
For tan
We consider that a prior magnetic dipole transition of the Upsilon yields an intermediatebound state, subsequently annihilating into a lepton pair via A0 (or H1)-exchange
A cascade decay formula applies:
The NP contribution would almost saturate the b decay rateeven for moderate tan ! Direct M1 transition
Numerica
lestima
tes
Fock states
Higher Fock components beyond the heavy quark-antiquark pair can play animportant role in both production and decays of heavy quarkonium (NRQCD)
"!0
""0""
+!
(
++=
( ) ( )++ = 1"1" !
In a 2HDM(II)
$(
1" !!
!Factorization la NRQCD
M (GeV)
hep-ph/0407320
[hep-ph/9407339]
Range of tan fora given M value
++= ""0 ! replacing a gluon by a photon
Defining
"! =
Mass difference betweenthe Higgs boson and the b
Analog of a quark-antiquarkbound state
Intermediate real 0-+ state
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July 21-27, 2005
HEP2005 Conference, Lisboa
Miguel A. Sanchis-Lozano
(IFIC Valencia)
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(nS) b0 ( ! + -)
n=2,3 ( H1 + -)
!!(!!!! "!"! ++
CPCP--even Higgs bosoneven Higgs boson
R 0.1tan ~ 15
2("
! +
!3
!!
= +
Using M=0.25 GeV, tan 15, B( b0) 3-6% (PDG) and B
as reference values,we get:
h0-mediated decay width under the assumption that sin(-) 0
i.e. non-decoupling limit: h0 couplings deviate maximally from SM
whereas the H0 becomes a SM-like Higgs:
Cascade decay viaCascade decay via b0b0 resonancesresonances
Numeric
alesti
mates
[ ]
2
!
!
!
!)*
=Normalizing the above partial width to
Again only for the tauonic modewould the NP contribution be significant
leading to lepton universality breaking!
A light CP-even Higgs boson is not excluded by LEP searches for parameter ranges of the MSSM
A CP-even Higgs boson can couple to an intermediate b0 resonance after a E1 transition of the
setting s(M) = 0.15 and |Rn(0)|2 = 1.5 GeV5 45(!
!
Available only for (2S) and (3S) resonances
Possible discrimination among differentsorts of Higgs bosons
Intermediate real 0++ state
67""
=+
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HEP2005 Conference, Lisboa
Miguel A. Sanchis-Lozano
(IFIC Valencia)
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Possible spectroscopic consequences in bottomonium
Searches for b states at CLEO: No signal found!
A0-b
mixing? Mass shift yielding larger hyperfine splitting thanexpected in the SM (i.e. more than 100 MeV).
Higgs Yukawa couplings to fermions canbe affected too, allowing quite large tanfor special Higgs mass values
hep-ex/0207057
Broad b states? Widths of order 50 MeV could be expectedeven for moderate values of tan ( ~ 40)
hep-ex/0207057 hep-ex/0207057
tan
(LEP)hep-ex/0111010
Is there any point to which you would wish to draw my attention?To the curious incident of the dog in the night-time
The dog did nothing in the night-timeThat was the curious incident, remarked Sherlock Holmes
from Silver Blaze by A.C.D.
Most theoretical modelsare ruled out !
The search for b states would
eventually be a way of hunting
a light non-standard Higgs!
If b decay happens to be
saturated by theA0-mediatedchannel
b A0* + -
Drees and Hikasa,PRD 41, 1547 (1990)
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July 21-27, 2005
HEP2005 Conference, Lisboa
Miguel A. Sanchis-Lozano
(IFIC Valencia)
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Conclusions
The simplest explanation to any problem isthe best explanation William of Ockham
Things should be as simple aspossible but not simpler A. Einstein
Keep also an eye on the related issue:
g-2 muon anomaly (which might require a CP-odd light Higgs contribution in a two-loop
calculation) but still controversial
If lepton universality is found to be (slightly) broken in Upsilon decays, the simplestexplanation would require a light non-standard mediated Higgs contribution (subsequent to
a M1 transition of the resonance) unwittingly ascribed to the tauonic decay mode
If not, those light Higgs mass windows could be closed using CLEO data!
Probably too hard a job for the LHC!
Reasonable values of tan in a 2HDM(II) are needed to yield R of order 10%
Different scenarios beyond the SM could explain (quite naturally) such a LU breaking
Further exp tests suggested: - search for soft photons in the +
-
sub-sample- polarization studies
Based on:hep-ph/0503266hep-ph/0407320hep-ph/0307313hep-ph/0210364hep-ph/0206156
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July 21-27, 2005HEP2005 Conference, Lisboa
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g-2 muon anomaly in a 2HDM(II)
hep-ph/0302111
The 2 allowed regions in the (mA,mh) plane due to the constraints of aand Rb for tan=40. The blue region is where the total
2 is less than 4while the yellow region is where the total 2 is less than the 2 (SM)
One.loop vertex correction
Two-loop vertex correction
h,A
h,A
f