Theoretical analysis of direct CP violation and differential decay width in D±→π±π+π- in phase space around the resonances ρ0(770) and f0(500)

We perform a theoretical study on direct CP violation in D±→π±π+π- in phase space around the intermediate states ρ0(770) and f0(500) . The possible interference between the amplitudes corresponding to the two resonances is taken into account, and the relative strong phase of the two amplitudes is treated as a free parameter. Our analysis shows that by a properly chosen strong phase, both the CP violation strength and the differential decay width accommodate the experimental results

The virial relation for the Q-balls in the thermal logarithmic potential revisited analytically

We study the properties of Q-balls dominated by the thermal logarithmic potential analytically instead of estimating the characters with only some specific values of model variables numerically. In particular, the analytical expressions for radius and energy of this kind of Q-ball are obtained. According to these explicit expressions we demonstrate strictly that the large Q-balls enlarge and the small ones become smaller in the background with lower temperature. The energy per unit charge will not be divergent if the charge is enormous. We find that the lower temperature will lead the energy per unit charge of Q-ball smaller. We also prove rigorously the necessary conditions that the model parameters should satisfy to keep the stability of the Q-balls. When one of model parameters of Q-balls, K , is positive, the Q-balls will not form or survive unless the temperature is high enough. In the case of negative K , the Q-balls are stable no matter the temperature is high or low

QCD NLO and EW NLO corrections to tt¯H production with top quark decays at hadron collider

Higgs boson production associated with a top quark pair is an important process in studying the nature of the newly discovered Higgs boson at the LHC. In this letter, we report on our calculations including the next-to-leading order (NLO) QCD and NLO electroweak corrections to the pp→tt¯H process in the standard model. We present the integrated cross sections at the 14 TeV LHC and even at the future proton–proton colliders with s=33 and 100TeV . Our calculation includes the top quark subsequent decays by adopting the narrow width approximation. The kinematic distributions of Higgs boson and top quark decay products at the LHC are provided. We find that the O(αs2αew2) corrections are quantitatively comparable with the O(αs3αew) corrections in some kinematic region

Lepton mixing in A 5 family symmetry and generalized CP

We study lepton mixing patterns which can be derived from the A 5 family symmetry and generalized CP. We find five phenomenologically interesting mixing patterns for which one column of the PMNS matrix is 5 + 5 10 , 1 5 + 5 , 1 5 + 5 T $${\left(\sqrt{\frac{5+\sqrt{5}}{10},}\frac{1}{\sqrt{5+\sqrt{5}}},\frac{1}{\sqrt{5+\sqrt{5}}}\right)}^T$$ (the first column of the golden ratio mixing), 5 − 5 10 1 5 − 5 1 5 − 5 T $${\left(\sqrt{\frac{5-\sqrt{5}}{10}},\frac{1}{\sqrt{5-\sqrt{5}}},\frac{1}{\sqrt{5-\sqrt{5}}}\right)}^T$$ (the second column of the golden ratio mixing), 1 1 1 T / 3 $${\left(1,1,1\right)}^T/\sqrt{3}$$ or 5 + 1 , − 2 , 5 − 1 T / 4 $${\left(\sqrt{5}+1,-2,\sqrt{5}-1\right)}^T/4$$ . The three lepton mixing angles are determined in terms of a single real parameter θ , and agreement with experimental data can be achieved for certain values of θ . The Dirac CP violating phase is predicted to be trivial or maximal while Majorana phases are trivial. We construct a supersymmetric model based on A 5 family symmetry and generalized CP. The lepton mixing is exactly the golden ratio pattern at leading order, and the mixing patterns of case III and case IV are reproduced after higher order corrections are considered

Deviation from bimaximal mixing and leptonic CP phases in S 4 family symmetry and generalized CP

The lepton flavor mixing matrix having one row or one column in common with the bimaximal mixing up to permutations is still compatible with the present neutrino oscillation data. We provide a thorough exploration of generating such a mixing matrix from S 4 family symmetry and generalized CP symmetry H CP . Supposing that S 4 ⋊ H CP is broken down to Z 2 S T 2 S U × H C P ν $${Z}_2^{S{T}^2SU}\times {H}_{\mathrm{CP}}^{\nu }$$ in the neutrino sector and Z 4 T S T 2 U ⋊ H C P l $${Z}_4^{TS{T}^2U}\rtimes {H}_{\mathrm{CP}}^l$$ in the charged lepton sector, one column of the PMNS matrix would be of the form 1 / 2 , 1 / 2 , 1 / 2 T $${\left(1/2,1/\sqrt{2},1/2\right)}^T$$ up to permutations, both Dirac CP phase and Majorana CP phases are trivial to accommodate the observed lepton mixing angles. The phenomenological implications of the remnant symmetry K 4 T S T 2 , T 2 U × H C P ν $${K}_4^{\left(TS{T}^2,{T}^2U\right)}\times {H}_{\mathrm{CP}}^{\nu }$$ in the neutrino sector and Z 2 SU  ×  H CP l in the charged lepton sector are studied. One row of PMNS matrix is determined to be 1 / 2 , 1 / 2 , − i / 2 $$\left(1/2,1/2,-i/\sqrt{2}\right)$$ , and all the three leptonic CP phases can only be trivial to fit the measured values of the mixing angles. Two models based on S 4 family symmetry and generalized CP are constructed to implement these model independent predictions enforced by remnant symmetry. The correct mass hierarchy among the charged leptons is achieved. The vacuum alignment and higher order corrections are discussed

Electroweak radiative corrections to W+W-γ production at the ILC

We provide and discuss the precision predictions for the W+W-γ production at the ILC including the full electroweak (EW) one-loop corrections and high order initial state radiation (ISR) contributions in the standard model. The dependence of the leading order (LO) and EW corrected cross sections on the colliding energy is investigated. We find that the EW correction suppresses the LO cross section significantly, and the ISR effect beyond O(α) is important near the threshold, but it is negligible in the high energy region. We provide the LO and EW corrected distributions of the transverse momenta and rapidities of final W- -boson and photon as well as the W -pair invariant mass. From the various kinematic distributions, we find that the EW correction strongly depends on the final state phase space. We investigate the leptonic decays of the final W-boson pair by adopting the narrow width approximation, and we find that the final produced photon and leptons can be well separated from each other

Diphoton plus Z production at the ILC at (α4)

A precision measurement for the production of a Z -boson in association with two photons is important for investigating the Higgs boson and exploring new physics at the International Linear Collider. It could be used to study the ZZγγ anomalous quartic gauge coupling. In this work we report on our calculation of the full (α4) contributions to the e+e−→Zγγ process in the standard model, and we analyze the electroweak (EW) quantum effect on the total cross section. We investigate the dependence of the Zγγ production rate on the event selection scheme and provide distributions for some important kinematic observables. We find that the next-to-leading order (NLO) EW corrections can enhance the total cross section quantitatively from 2.32 to 9.61% when the colliding energy goes up from 250 GeV to 1 TeV, and the NLO EW corrections show obviously a nontrivial phase space dependence. We conclude that in studying the signal process e+e−→ZH→Zγγ , the background process e+e−→Zγγ can be suppressed significantly if we take appropriate kinematic cuts on the final products

Phase structures of the black D p -D( p + 4)-brane system in various ensembles II: electrical and thermodynamic stability

By incorporating the electrical stability condition into the discussion, we continue the study on the thermodynamic phase structures of the D p -D( p + 4) black brane in GG, GC, CG, CC ensembles defined in our previous paper [27]. We find that including the electrical stability conditions in addition to the thermal stability conditions does not modify the phase structure of the GG ensemble but puts more constraints on the parameter space where black branes can stably exist in GC, CG, CC ensembles. In particular, the van der Waals-like phase structure which was supposed to be present in these ensembles when only thermal stability condition is considered would no longer be visible, since the phase of the small black brane is unstable under electrical fluctuations. However, the symmetry of the phase structure by interchanging the two kinds of brane charges and potentials is still preserved, which is argued to be the result of T-duality

Direct CP violation in τ±→K±ρ0(ω)ντ→K±π+π-ντ

We study the direct CP violation in the τ±→K±ρ0(ω)ντ→K±π+π-ντ decay process in the standard model. An interesting mechanism involving the charge symmetry violating mixing between ρ0 and ω is applied to enlarge the CP asymmetry. We find that the CP-violating asymmetry can be enhanced greatly via this ρ – ω mixing mechanism when the invariant mass of the π+π- pair is in the vicinity of the ω resonance. With this mechanism, the maximum differential and localized integrated CP asymmetries can reach -(5.6-1.7+2.9)×10-12 and 6.3-3.3+2.4×10-11 , respectively, which is still negligible

Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes

We investigate effects of the minimal length on quantum tunnelling from spherically symmetric black holes using the Hamilton-Jacobi method incorporating the minimal length. We first derive the deformed Hamilton-Jacobi equations for scalars and fermions, both of which have the same expressions. The minimal length correction to the Hawking temperature is found to depend on the black hole’s mass and the mass and angular momentum of emitted particles. Finally, we calculate a Schwarzschild black hole's luminosity and find the black hole evaporates to zero mass in infinite time