205 research outputs found
Π‘ΡΡΡΠΊΡΡΡΠ° ΠΈΠ·Π½ΠΎΡΠΎΡΡΠΎΠΉΠΊΠΈΡ ΠΏΠΎΠΊΡΡΡΠΈΠΉ ΠΊΠ°Π±ΠΎΠ½ΠΈΡΡΠΈΠ΄Π° ΡΠΈΡΠΊΠΎΠ½ΠΈΡ
A structure of zirconium carbonitride coatings obtained by an arc cathodic deposition in the medium of reactant mixture of nitrogen and acetylene was investigated. Using X-ray diffraction and X-ray photoelectron spectroscopy it was shown that the coatings consist of both ultra dispersive Ξ΄ phase zirconium carbonitride and amorphous carbon containing considerable amount of sp3 bonds. The coatings were textured greatly with texture axis (111). The texture degree influenced a substrate material like tool steel X12M and cemented carbide BK6.ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Π° ΠΊΡΠΈΡΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠ°Ρ ΡΡΡΡΠΊΡΡΡΠ° ΠΏΠΎΠΊΡΡΡΠΈΠΉ ΠΊΠ°ΡΠ±ΠΎΠ½ΠΈΡΡΠΈΠ΄Π° ΡΠΈΡΠΊΠΎΠ½ΠΈΡ, ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΡ
ΠΊΠ°ΡΠΎΠ΄Π½ΠΎ-Π΄ΡΠ³ΠΎΠ²ΡΠΌ ΠΎΡΠ°ΠΆΠ΄Π΅Π½ΠΈΠ΅ΠΌ Π² ΡΠ΅Π°ΠΊΡΠΈΠΎΠ½Π½ΠΎΠΉ ΡΡΠ΅Π΄Π΅ ΡΠΌΠ΅ΡΠΈ Π³Π°Π·ΠΎΠ² Π°Π·ΠΎΡΠ° ΠΈ Π°ΡΠ΅ΡΠΈΠ»Π΅Π½Π°. ΠΠ΅ΡΠΎΠ΄Π°ΠΌΠΈ ΡΠ΅Π½ΡΠ³Π΅Π½ΠΎΠ³ΡΠ°ΡΠΈΠΈ ΠΈ ΡΠ΅Π½ΡΠ³Π΅Π½ΠΎΠ²ΡΠΊΠΎΠΉ ΡΠΎΡΠΎΡΠ»Π΅ΠΊΡΡΠΎΠ½Π½ΠΎΠΉ ΡΠΏΠ΅ΠΊΡΡΠΎΡΠΊΠΎΠΏΠΈΠΈ ΠΏΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎ ΡΡΡΡΠΊΡΡΡΠ° ΠΏΠΎΠΊΡΡΡΠΈΡ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½Π° ΡΠ»ΡΡΡΠ°Π΄ΠΈΡΠΏΠ΅ΡΡΠ½ΠΎΠΉ Ξ΄-ΡΠ°Π·ΠΎΠΉ ΠΊΠ°ΡΠ±ΠΎΠ½ΠΈΡΡΠΈΠ΄Π° ΡΠΈΡΠΊΠΎΠ½ΠΈΡ ΠΈ Π°ΠΌΠΎΡΡΠ½ΠΎΠ³ΠΎ Π°Π»ΠΌΠ°Π·ΠΎΠΏΠΎΠ΄ΠΎΠ±Π½ΠΎΠ³ΠΎ ΡΠ³Π»Π΅ΡΠΎΠ΄Π° Ρ Π±ΠΎΠ»ΡΡΠΈΠΌ ΡΠΎΠ΄Π΅ΡΠΆΠ°Π½ΠΈΠ΅ΠΌ sΡ3-ΡΠ²ΡΠ·Π°Π½Π½ΡΡ
Π°ΡΠΎΠΌΠΎΠ². ΠΠΎΠΊΡΡΡΠΈΡ ΡΠΈΠ»ΡΠ½ΠΎ ΡΠ΅ΠΊΡΡΡΡΠΈΡΠΎΠ²Π°Π½Ρ Ρ ΠΎΡΡΡ ΡΠ΅ΠΊΡΡΡΡΡ (111). ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎ Π½Π° ΡΡΠ΅ΠΏΠ΅Π½Ρ ΡΠ΅ΠΊΡΡΡΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ Π·Π½Π°ΡΠΈΡΠ΅Π»ΡΠ½ΠΎ Π²Π»ΠΈΡΠ΅Ρ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π» ΠΎΡΠ½ΠΎΠ²Ρ, Π² ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΠΊΠΎΡΠΎΡΠΎΠΉ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π»Π°ΡΡ ΠΈΠ½ΡΡΡΡΠΌΠ΅Π½ΡΠ°Π»ΡΠ½Π°Ρ ΡΡΠ°Π»Ρ Π₯12Π ΠΈ ΡΠ²Π΅ΡΠ΄ΡΠΉ ΡΠΏΠ»Π°Π² ΠΠ6
Tuning supersymmetric models at the LHC: A comparative analysis at two-loop level
We provide a comparative study of the fine tuning amount (Delta) at the
two-loop leading log level in supersymmetric models commonly used in SUSY
searches at the LHC. These are the constrained MSSM (CMSSM), non-universal
Higgs masses models (NUHM1, NUHM2), non-universal gaugino masses model (NUGM)
and GUT related gaugino masses models (NUGMd). Two definitions of the fine
tuning are used, the first (Delta_{max}) measures maximal fine-tuning wrt
individual parameters while the second (Delta_q) adds their contribution in
"quadrature". As a direct result of two theoretical constraints (the EW minimum
conditions), fine tuning (Delta_q) emerges as a suppressing factor (effective
prior) of the averaged likelihood (under the priors), under the integral of the
global probability of measuring the data (Bayesian evidence p(D)). For each
model, there is little difference between Delta_q, Delta_{max} in the region
allowed by the data, with similar behaviour as functions of the Higgs, gluino,
stop mass or SUSY scale (m_{susy}=(m_{\tilde t_1} m_{\tilde t_2})^{1/2}) or
dark matter and g-2 constraints. The analysis has the advantage that by
replacing any of these mass scales or constraints by their latest bounds one
easily infers for each model the value of Delta_q, Delta_{max} or vice versa.
For all models, minimal fine tuning is achieved for M_{higgs} near 115 GeV with
a Delta_q\approx Delta_{max}\approx 10 to 100 depending on the model, and in
the CMSSM this is actually a global minimum. Due to a strong (
exponential) dependence of Delta on M_{higgs}, for a Higgs mass near 125 GeV,
the above values of Delta_q\approx Delta_{max} increase to between 500 and
1000. Possible corrections to these values are briefly discussed.Comment: 23 pages, 46 figures; references added; some clarifications (section
2
Interpreting a 1 fb^-1 ATLAS Search in the Minimal Anomaly Mediated Supersymmetry Breaking Model
Recent LHC data significantly extend the exclusion limits for supersymmetric
particles, particularly in the jets plus missing transverse momentum channels.
The most recent such data have so far been interpreted by the experiment in
only two different supersymmetry breaking models: the constrained minimal
supersymmetric standard model (CMSSM) and a simplified model with only squarks
and gluinos and massless neutralinos. We compare kinematical distributions of
supersymmetric signal events predicted by the CMSSM and anomaly mediated
supersymmetry breaking (mAMSB) before calculating exclusion limits in mAMSB. We
obtain a lower limit of 900 GeV on squark and gluino masses at the 95%
confidence level for the equal mass limit, tan(beta)=10 and mu>0.Comment: 18 pages, 11 figure
R-parity Conservation via the Stueckelberg Mechanism: LHC and Dark Matter Signals
We investigate the connection between the conservation of R-parity in
supersymmetry and the Stueckelberg mechanism for the mass generation of the B-L
vector gauge boson. It is shown that with universal boundary conditions for
soft terms of sfermions in each family at the high scale and with the
Stueckelberg mechanism for generating mass for the B-L gauge boson present in
the theory, electric charge conservation guarantees the conservation of
R-parity in the minimal B-L extended supersymmetric standard model. We also
discuss non-minimal extensions. This includes extensions where the gauge
symmetries arise with an additional U(1)_{B-L} x U(1)_X, where U(1)_X is a
hidden sector gauge group. In this case the presence of the additional U(1)_X
allows for a Z' gauge boson mass with B-L interactions to lie in the sub-TeV
region overcoming the multi-TeV LEP constraints. The possible tests of the
models at colliders and in dark matter experiments are analyzed including
signals of a low mass Z' resonance and the production of spin zero bosons and
their decays into two photons. In this model two types of dark matter
candidates emerge which are Majorana and Dirac particles. Predictions are made
for a possible simultaneous observation of new physics events in dark matter
experiments and at the LHC.Comment: 38 pages, 7 fig
Constraints on supersymmetry with light third family from LHC data
We present a re-interpretation of the recent ATLAS limits on supersymmetry in
channels with jets (with and without b-tags) and missing energy, in the context
of light third family squarks, while the first two squark families are
inaccessible at the 7 TeV run of the Large Hadron Collider (LHC). In contrast
to interpretations in terms of the high-scale based constrained minimal
supersymmetric standard model (CMSSM), we primarily use the low-scale
parametrisation of the phenomenological MSSM (pMSSM), and translate the limits
in terms of physical masses of the third family squarks. Side by side, we also
investigate the limits in terms of high-scale scalar non-universality, both
with and without low-mass sleptons. Our conclusion is that the limits based on
0-lepton channels are not altered by the mass-scale of sleptons, and can be
considered more or less model-independent.Comment: 20 pages, 8 figures, 2 tables. Version published in JHE
Π‘ΡΡΡΠΊΡΡΡΠ° ΠΈ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΠ²ΠΎΠΉΡΡΠ²Π° ΠΏΠΎΠΊΡΡΡΠΈΠΉ Π°Π»ΠΌΠ°Π·ΠΎΠΏΠΎΠ΄ΠΎΠ±Π½ΠΎΠ³ΠΎ ΡΠ³Π»Π΅ΡΠΎΠ΄Π°
Using a hybrid method of cathodic arc (PVD) and chemical (CVD) deposition from the gas phase, a new type of coatings containing high amount of sp3 bonds of carbon, capable of absorbing effectively light has been developed.This thin film material is a promised one for optical devices operating in open space environment as antireflective coating Β for photoreceiver bodies. The hybrid method permits to obtain effective light absorbing coatings having excellent mechanical and tribological properties and is able to sustain temperature cycling in a range from plus 150 to minus 100 oC. Β The optical characteristics of DLC coatings were studied depending on the content of sp2bound content. The combined physical and chemical deposition of DLC coatings allows to achieve a sufficiently high light absorption (a~10 5 cmβ1) and low reflection with a relatively small coating thickness about 1 mm. It has been established that the antireflective properties of such coatings depend on the conditions for their preparation, first of all on hydrocarbon gas pressureΒ Π‘ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ Π³ΠΈΠ±ΡΠΈΠ΄Π½ΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π° ΠΊΠ°ΡΠΎΠ΄Π½ΠΎΒΠ΄ΡΠ³ΠΎΠ²ΠΎΠ³ΠΎ (PVD) ΠΈ Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ (CVD) ΠΎΡΠ°ΠΆΠ΄Π΅Π½ΠΈΡ ΠΈΠ· Π³Π°Π·ΠΎΠ²ΠΎΠΉ ΡΠ°Π·Ρ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½ Π½ΠΎΠ²ΡΠΉ ΡΠΈΠΏ ΠΏΠΎΠΊΡΡΡΠΈΠΉ Ρ Π±ΠΎΠ»ΡΡΠΈΠΌ ΡΠΎΠ΄Π΅ΡΠΆΠ°Π½ΠΈΠ΅ΠΌ sp2ΒΡ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈ ΡΠ²ΡΠ·Π°Π½Π½ΡΡ
Π°ΡΠΎΠΌΠΎΠ² ΡΠ³Π»Π΅ΡΠΎΠ΄Π°, ΡΠΏΠΎΡΠΎΠ±Π½ΡΡ
ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎ ΠΏΠΎΠ³Π»ΠΎΡΠ°ΡΡ Π²ΠΈΠ΄ΠΈΠΌΠΎΠ΅ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΠΈΠ·Π»ΡΡΠ΅Π½ΠΈΠ΅.ΠΠΌΠΎΡΡΠ½ΡΠΉ ΡΠΎΠ½ΠΊΠΎΠΏΠ»Π΅Π½ΠΎΡΠ½ΡΠΉ ΡΠ³Π»Π΅ΡΠΎΠ΄Π½ΡΠΉ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π» ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΏΠ΅ΡΡΠΏΠ΅ΠΊΡΠΈΠ²Π½ΡΠΌ Π΄Π»Ρ Π½Π°Π½Π΅ΡΠ΅Π½ΠΈΡ ΠΏΠΎΠ³Π»ΠΎΡΠ°ΡΡΠΈΡ
Π°Π½ΡΠΈΠ±Π»ΠΈΠΊΠΎΠ²ΡΡ
ΠΏΠΎΠΊΡΡΡΠΈΠΉ Π½Π° ΠΊΠΎΡΠΏΡΡΠ½ΡΠ΅ Π΄Π΅ΡΠ°Π»ΠΈ ΡΠΎΡΠΎΠΏΡΠΈΠ΅ΠΌΠ½ΠΈΠΊΠΎΠ² ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΈΠ·Π»ΡΡΠ΅Π½ΠΈΡ, ΡΠ°Π±ΠΎΡΠ°ΡΡΠΈΡ
Π² ΠΎΡΠΊΡΡΡΠΎΠΌ ΠΊΠΎΡΠΌΠΎΡΠ΅. ΠΠΈΠ±ΡΠΈΠ΄Π½ΡΠΉ ΠΌΠ΅ΡΠΎΠ΄ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ ΠΏΠΎΠ»ΡΡΠ°ΡΡ ΡΠΈΠ»ΡΠ½ΠΎΠΏΠΎΠ³Π»ΠΎΡΠ°ΡΡΠΈΠ΅ ΠΏΠΎΠΊΡΡΡΠΈΡ, ΠΎΠ±Π»Π°Π΄Π°ΡΡΠΈΠ΅ ΡΠ°ΠΊΠΆΠ΅ Π²ΡΡΠΎΠΊΠΈΠΌΠΈ ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΈΠΌΠΈ ΠΈ ΡΡΠΈΠ±ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠΌΠΈ ΡΠ²ΠΎΠΉΡΡΠ²Π°ΠΌΠΈ ΠΈ ΡΠΏΠΎΡΠΎΠ±Π½ΡΠ΅ Π²ΡΠ΄Π΅ΡΠΆΠΈΠ²Π°ΡΡ ΡΠ΅ΡΠΌΠΎΡΠΈΠΊΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΎΡ + 150 Π΄ΠΎ β 100 Β°Π‘.ΠΡΠΎΠ²Π΅Π΄Π΅Π½ΠΎ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΈΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ ΠΠΠ£ ΠΏΠΎΠΊΡΡΡΠΈΠΉ Π² Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΎΡ ΡΠΎΠ΄Π΅ΡΠΆΠ°Π½ΠΈΡ sp2ΒΡΠ²ΡΠ·Π°Π½Π½ΡΡ
Π°ΡΠΎΠΌΠΎΠ² ΡΠ³Π»Π΅ΡΠΎΠ΄Π°. ΠΠΎΠ»ΡΡΠ΅Π½Π½ΡΠΉ ΠΊΠΎΠΌΠ±ΠΈΠ½ΠΈΡΠΎΠ²Π°Π½Π½ΡΠΌ ΡΠΏΠΎΡΠΎΠ±ΠΎΠΌ ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΈ Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΎΡΠ°ΠΆΠ΄Π΅Π½ΠΈΡ ΠΠΠ£ Π² Π²ΠΈΠ΄Π΅ ΡΠΎΠ½ΠΊΠΈΡ
ΡΠ»ΠΎΠ΅Π² ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ Π΄ΠΎΡΡΠΈΡΡ Π΄ΠΎΡΡΠ°ΡΠΎΡΠ½ΠΎ Π²ΡΡΠΎΠΊΠΎΠ³ΠΎ ΠΏΠΎΠ³Π»ΠΎΡΠ΅Π½ΠΈΡ ΠΈ Π½ΠΈΠ·ΠΊΠΎΠ³ΠΎ ΠΎΡΡΠ°ΠΆΠ΅Π½ΠΈΡ ΠΏΡΠΈ ΡΡΠ°Π²Π½ΠΈΡΠ΅Π»ΡΠ½ΠΎ ΠΌΠ°Π»ΠΎΠΉ ΡΠΎΠ»ΡΠΈΠ½Π΅ ΠΏΠΎΠΊΡΡΡΠΈΡ (a ~ 105 ΡΠΌβ1). Π£ΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΎ, ΡΡΠΎ Π°Π½ΡΠΈΠ±Π»ΠΈΠΊΠΎΠ²ΡΠ΅ ΡΠ²ΠΎΠΉΡΡΠ²Π° ΡΠ°ΠΊΠΈΡ
ΠΏΠΎΠΊΡΡΡΠΈΠΉ Π·Π°Π²ΠΈΡΡΡ ΠΎΡ ΡΡΠ»ΠΎΠ²ΠΈΠΉ Π΅Π³ΠΎ ΠΏΠΎΠ»ΡΡΠ΅Π½ΠΈΡ, ΠΈ ΠΏΡΠ΅ΠΆΠ΄Π΅ Π²ΡΠ΅Π³ΠΎ β ΠΎΡ Π΄Π°Π²Π»Π΅Π½ΠΈΡ Π³Π°Π·Π° ΡΠ³Π»Π΅Π²ΠΎΠ΄ΠΎΡΠΎΠ΄ΠΎΠ²
New perturbation theory representation of the conformal symmetry breaking effects in gauge quantum field theory models
We propose a hypothesis on the detailed structure for the representation of
the conformal symmetry breaking term in the basic Crewther relation generalized
in the perturbation theory framework in QCD renormalized in the scheme. We establish the validity of this representation in the
approximation. Using the variant of the generalized Crewther
relation formulated here allows finding relations between specific
contributions to the QCD perturbation series coefficients for the flavor
nonsinglet part of the Adler function for the electron-positron
annihilation in hadrons and to the perturbation series coefficients for the
Bjorken sum rule for the polarized deep-inelastic lepton-nucleon
scattering. We find new relations between the coefficients of
and . Satisfaction of one of them serves as an
additional theoretical verification of the recent computer analytic
calculations of the terms of order in the expressions for these
two quantities.Comment: 12 pages, Title modified, abstract modified, improved and extended
variant of the talks, presented at Int. Seminar "Quarks-2010" (6-12 June,
2010, Kolomna) and Int. Workshop Hadron Structure and QCD: From Low to High
Energies (5-9 July 2010, Gatchina
Exploring the Higgs Portal with 10/fb at the LHC
We consider the impact of new exotic colored and/or charged matter
interacting through the Higgs portal on Standard Model Higgs boson searches at
the LHC. Such Higgs portal couplings can induce shifts in the effective
Higgs-gluon-gluon and Higgs-photon-photon couplings, thus modifying the Higgs
production and decay patterns. We consider two possible interpretations of the
current LHC Higgs searches based on ~ 5/fb of data at each detector: 1) a Higgs
boson in the mass range (124-126) GeV and 2) a `hidden' heavy Higgs boson which
is underproduced due to the suppression of its gluon fusion production cross
section. We first perform a model independent analysis of the allowed sizes of
such shifts in light of the current LHC data. As a class of possible candidates
for new physics which gives rise to such shifts, we investigate the effects of
new scalar multiplets charged under the Standard Model gauge symmetries. We
determine the scalar parameter space that is allowed by current LHC Higgs
searches, and compare with complementary LHC searches that are sensitive to the
direct production of colored scalar states.Comment: 27 pages, 11 figures; v2: references added, correction to scalar form
factor, numerical results updated with Moriond 2012 data, conclusions
unchange
The Intermediate Scale MSSM, the Higgs Mass and F-theory Unification
Even if SUSY is not present at the Electro-Weak scale, string theory suggests
its presence at some scale M_{SS} below the string scale M_s to guarantee the
absence of tachyons. We explore the possible value of M_{SS} consistent with
gauge coupling unification and known sources of SUSY breaking in string theory.
Within F-theory SU(5) unification these two requirements fix M_{SS} ~ 5 x
10^{10} GeV at an intermediate scale and a unification scale M_c ~ 3 x 10^{14}
GeV. As a direct consequence one also predicts the vanishing of the quartic
Higgs SM self-coupling at M_{SS} ~10^{11} GeV. This is tantalizingly consistent
with recent LHC hints of a Higgs mass in the region 124-126 GeV. With such a
low unification scale M_c ~ 3 x 10^{14} GeV one may worry about too fast proton
decay via dimension 6 operators. However in the F-theory GUT context SU(5) is
broken to the SM via hypercharge flux. We show that this hypercharge flux
deforms the SM fermion wave functions leading to a suppression, avoiding in
this way the strong experimental proton decay constraints. In these
constructions there is generically an axion with a scale of size f_a ~
M_c/(4\pi)^2 ~ 10^{12} GeV which could solve the strong CP problem and provide
for the observed dark matter. The prize to pay for these attractive features is
to assume that the hierarchy problem is solved due to anthropic selection in a
string landscape.Comment: 48 pages, 8 figures. v3: further minor correction
Probing the charged Higgs boson at the LHC in the CP-violating type-II 2HDM
We present a phenomenological study of a CP-violating two-Higgs-doublet Model
with type-II Yukawa couplings at the Large Hadron Collider (LHC). In the light
of recent LHC data, we focus on the parameter space that survives the current
and past experimental constraints as well as theoretical bounds on the model.
Once the phenomenological scenario is set, we analyse the scope of the LHC in
exploring this model through the discovery of a charged Higgs boson produced in
association with a W boson, with the former decaying into the lightest neutral
Higgs and a second W state, altogether yielding a b\bar b W^+W^- signature, of
which we exploit the W^+W^- semileptonic decays.Comment: 37 pages, 16 figures; v2 updated treatment of LHC constraint
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