Mon·Sep 28, 2020Monday·September 28, 2020

1. 01*

   Diffusion Monte Carlo calculations of fully-heavy (multiquark) bound states

   M.C. Gordillo🇪🇸 · F. De Soto🇪🇸 · J. Segovia🇪🇸

   We use a diffusion Monte Carlo method to solve the many-body Schrödinger equation describing fully-heavy tetraquark systems. This approach allows to reduce the uncertainty of the numerical calculation at the percent level, accounts for multi-particle correlations in the physical observables, and avoids the usual quark-clustering assumed in other theoretical techniques applied to the same problem. The interaction between particles was modeled by the most general and accepted potential, i.e. a pairwise interaction including Coulomb, linear-confining and hyperfine spin-spin terms. This means that, in principle, our analysis should provide some rigorous statements about the mass location of the all-heavy tetraquark ground states, which is particularly timely due to the very recent observation made by the LHCb collaboration of some enhancements in the invariant mass spectra of $J/\psi$-pairs. Our main results are: (i) the $cc\bar{c}\bar{c}$, $cc\bar{b}\bar{b}$ ($bb\bar{c}\bar{c}$) and $bb\bar{b}\bar{b}$ lowest-lying states are located well above their corresponding meson-meson thresholds; (ii) the $J^{PC}=0^{++}$ $cc\bar{c}\bar{c}$ ground state with preferred quark-antiquark pair configurations is compatible with the enhancement(s) observed by the LHCb collaboration; (iii) our results for the $cc\bar{c}\bar{b}$ and $bb\bar{c}\bar{b}$ sectors seem to indicate that the $0^{+}$ and $1^{+}$ ground states are almost degenerate with the $2^{+}$ located around $100\text{MeV}$ above them; (iv) smaller mass splittings for the $cb\bar{c}\bar{b}$ system are predicted, with absolute mass values in reasonable agreement with other theoretical works; (v) the $1^{++}$ $cb\bar{c}\bar{b}$ tetraquark ground state lies at its lowest $S$-wave meson-meson threshold and it is compatible with a molecular configuration.

   hep-phhep-exhep-latnucl-ex+1PRD(2020)·100 citations
2. 02*

   Forward dijets in proton-nucleus collisions at next-to-leading order: the real corrections

   Edmond Iancu🇫🇷 · Yair Mulian🇫🇮

   Using the CGC effective theory together with the hybrid factorisation, we study forward dijet production in proton-nucleus collisions beyond leading order. In this paper, we compute the "real" next-to-leading order (NLO) corrections, i.e. the radiative corrections associated with a three-parton final state, out of which only two are being measured. To that aim, we start by revisiting our previous results for the three-parton cross-section presented in our previous paper. After some reshuffling of terms, we deduce new expressions for these results, which not only look considerably simpler, but are also physically more transparent. We also correct several errors in this process. The real NLO corrections to inclusive dijet production are then obtained by integrating out the kinematics of any of the three final partons. We explicitly work out the interesting limits where the unmeasured parton is either a soft gluon, or the product of a collinear splitting. We find the expected results in both limits: the B-JIMWLK evolution of the leading-order dijet cross-section in the first case (soft gluon) and, respectively, the DGLAP evolution of the initial and final states in the second case (collinear splitting). The "virtual" NLO corrections to dijet production will be presented in a subsequent publication.

   hep-phhep-thnucl-thJHEP(2021)·38 citations
3. 03*

   New estimate of the chromomagnetic dipole moment of quarks in the standard model

   A.I Hernández-Juárez🇲🇽 · G. Tavares-Velasco🇲🇽 · A. Moyotl🇲🇽

   A new estimate of the one loop contributions of the standard model to the chromomagnetic dipole moment (CMDM) ${\hat{\mu }}_q(q^2)$ of quarks is presented with the aim to address a few disagreements arising in previous calculations. We consider the most general case with an off-shell gluon with transfer momentum $q^2$ and obtain analytical results in terms of Feynman parameter integrals and Passarino-Veltman scalar functions, which are then expressed in terms of closed form functions when possible. The calculation is done via a renormalizable linear $R_{\xi }$ gauge and the background field method, which allows one to corroborate that the resulting ${\hat{\mu }}_q(q^2)$ is gauge independent and thus a valid observable quantity. It is found that the QCD contribution from a three-gluon Feynman diagram has an infrared divergence, which agrees with a previous evaluation and stems from the fact that the static CMDM [$\hat{\mu }(0)$] has no sense in perturbative QCD. For the numerical analysis we consider the region 30 GeV$<\Vert q\Vert <$ 1000 GeV and analyze the behavior of ${\hat{\mu }}_q(q^2)$ for all the standard model quarks. It is found that the CMDM of light quarks is considerably smaller than that of the top quark as it is directly proportional to the quark mass. In the considered energy interval, both the real and imaginary parts of ${\hat{\mu }}_t(q^2)$ are of the order of $10^{-2}-10^{-3}$, with the largest contribution arising from the QCD induced diagrams, though around the threshold $q^2=4m_t^2$ there are also important contributions from diagrams with $Z$ gauge boson and Higgs boson exchange.

   hep-phEur.Phys.J.Plus(2021)·17 citations
4. 04*

   Caravel: A C++ Framework for the Computation of Multi-Loop Amplitudes with Numerical Unitarity

   S. Abreu🇧🇪 · J. Dormans🇩🇪 · F. Febres Cordero🇺🇸 · H. Ita🇩🇪 · M. Kraus🇺🇸 · B. Page🇫🇷 · E. Pascual🇩🇪 · M. S. Ruf🇩🇪 · V. Sotnikov🇩🇪

   We present the first public version of Caravel, a C++17 framework for the computation of multi-loop scattering amplitudes in quantum field theory, based on the numerical unitarity method. Caravel is composed of modules for the $D$-dimensional decomposition of integrands of scattering amplitudes into master and surface terms, the computation of tree-level amplitudes in floating point or finite-field arithmetic, the numerical computation of one- and two-loop amplitudes in QCD and Einstein gravity, and functional reconstruction tools. We provide programs that showcase Caravel's main functionalities and allow to compute selected one- and two-loop amplitudes.

   hep-phhep-thComput.Phys.Commun.(2021)·83 citations
5. 05*

   Hexaquark picture for $d^{\ast }(2380)$

   Hungchong Kim🇰🇷 · K. S. Kim🇰🇷 · Makoto Oka🇯🇵

   Hexaquark wave function with the quantum numbers $I(J^P)=0(3^{+})$, which might be relevant for $d^{\ast }(2380)$, is constructed under an assumption that this is composed only of $u,d$ quarks in an $S$-wave. By combining three diquarks of either type, (${\bar{3}}_c,I=1$) or ($6_c,I=0$), we demonstrate that there are five possible configurations for the six-quark state. The fully antisymmetric wave function is constructed by linearly combining the five configurations on an equal footing. We then take this wave function as well as the five configurations to calculate the hexaquark mass using the contact type effective potential consisting of the color-spin, color electric and constant shift. The mass is found to be the same regardless of the configurations being used including the fully antisymmetric one. This result can be traced to the fact that the hexaquark system has a freedom in choosing three diquarks in the construction of its wave function. The calculated hexaquark mass using the empirical parameters independently fixed from the baryon spectroscopy is found to be around $2342$ MeV, which is indeed very close to the experimental mass of $d^{\ast }(2380)$. Therefore, the hexaquark picture is promising for $d^{\ast }(2380)$ as far as the mass is concerned.

   hep-phhep-exnucl-thPRD(2020)·29 citations
6. 06*

   Inclusive ${\rm Y}(1S,2S,3S)$ photoproduction at the CEPC

   Xi-Jie Zhan🇨🇳 · Jian-Xiong Wang🇨🇳

   The inclusive ${\rm Y}(1S,2S,3S)$ photoproduction at the future Circular-Electron-Positron-Collider (CEPC) is studied based on the non-relativistic QCD (NRQCD). Including the contributions from both direct and resolved photons, we present different distributions for ${\rm Y}(1S,2S,3S)$ production and the results show there will be considerable events, which means that a well measurements on the ${\rm Y}$ photoprodution could be performed to further study on the heavy quarkonium physics at electron-positron collider in addition to hadron colliders. This supplement study is very important to clarify the current situation of the heavy quarkonium production mechanism.

   hep-ph0 citations
7. 07*

   Neutrino Portal via Loops

   Wei Chao🇨🇳

   One loop correction to the dark matter (DM) annihilation cross section is usually assumed to be sub-dominate in calculating the DM relic density. In this paper, we propose a scenario where DM freezes out mainly via loops in the neutrino portal. For a scalar DM annihilating into neutrino via a triangle diagram, or a Majorana DM annihilating into neutrino via a box diagram, the observed DM relic density can be generated if the mediator is Majorana fermion. We further work out the neutrino Debye mass and neutrino oscillation probabilities in the dark halo. Numerical results show that impactions of DM to these physical observables are negligible on the Earth, however the analytical results can be applied to evaluate neutrino properties in a dense DM environment.

   hep-ph5 citations
8. 08*

   Information theoretical view of QCD effective model with heavy quarks

   Kouji Kashiwa🇯🇵 · Hiroaki Kouno🇯🇵

   To understand the phase transition phenomena, information theoretical approaches can pick up some important properties of the phenomena based on the probability distribution. In this paper, we show information theoretical aspects of the 3-dimensional 3-state Potts model with the external field which is corresponding to the QCD effective model with heavy quarks. The transfer mutual information which represents the information flow of two spin variables is numerically estimated based on the Markov-chain Monte-Carlo method. The transfer mutual information has the peak near the confinement-deconfinement transition, and it may be used to detect the precursors of the transition. Since the transfer mutual information still have the peak even if the Polyakov-loop changes continuously and smoothly, we may pick up some aspects of the confinement-deconfinement nature from the information flow properties. Particularly, the transfer mutual information shows the significantly different behavior below and above the Roberge-Weiss endpoint existed in the pure imaginary chemical potential region, which may indicate the system change by the confinement-deconfinement transition.

   hep-phhep-latPRD(2021)·6 citations
9. 09*

   Lepton flavor model with modular $A_4$ symmetry in large volume limit

   Takehiko Asaka🇯🇵 · Yongtae Heo🇯🇵 · Takahiro Yoshida🇯🇵

   We consider the modular symmetry associated with the compactification of extra dimensions as the flavor symmetry on lepton sector. Especially, we propose a model based on the modular $A_4$ symmetry with three right-handed neutrinos and a gauge singlet Higgs, which works well in the so-called large volume limit of the extra dimensions, i.e., $\text{mbox}Im\tau \to \infty$ for a modulus $\tau$. The right-handed neutrinos are introduced to realize the seesaw mechanism for tiny neutrino masses observed in oscillation experiments. The vacuum expectation value of the singlet Higgs gives the Majorana masses for right-handed neutrinos and the $\mu$-term for Higgs fields. The model can explain the observed masses and mixing angles of neutrinos successfully. We find that one of the mixing angles should be in the range ${\sin }^2{\theta }_{23}\ge 0.58$. Importantly, the CP violating phases of neutrinos are predicted in the two restricted regions. One is that the Dirac phase is ${\delta }_{\mathrm{CP}}\simeq -0.5\pi$ and the Majorana phases are ${\alpha }_{21}\simeq 0$ and ${\alpha }_{31}\simeq \pi$. The other is ${\delta }_{\mathrm{CP}}\simeq +0.5\pi$, ${\alpha }_{21}\simeq 2\pi$ and ${\alpha }_{31}\simeq \pi$. The effective neutrino mass in the neutrinoless double beta decay is found to be $m_{\mathrm{eff}}=0.037$--0.047 eV. These predictions will be tested in the future neutrino experiments.

   hep-phPLB(2020)·85 citations
10. 10*

    Can neutron disappearance/reappearance experiments definitively rule out the existence of hidden braneworlds endowed with a copy of the Standard Model?

    Stasser Coraline🇧🇪 · Michael Sarrazin🇫🇷

    Many works, aiming to explain the origin of dark matter or dark energy, consider the existence of hidden (brane)worlds parallel to our own visible world - our usual universe - in a multidimensional bulk. Hidden braneworlds allow for hidden copies of the Standard Model. For instance, atoms hidden in a hidden brane could exist as dark matter candidates. As a way to constrain such hypotheses, the possibility for neutron-hidden neutron swapping can be tested thanks to disappearance-reappearance experiments also known as passing-through-walls neutron experiments. The neutron-hidden neutron coupling $g$ can be constrained from those experiments. While $g$ could be arbitrarily small, previous works involving a $M_4\times R_1$ bulk, with DGP branes, show that $g$ then possesses a value which is reachable experimentally. It is of crucial interest to know if a reachable value for $g$ is universal or not and to estimate its magnitude. Indeed, it would allow, in a near future, to reject definitively - or not - the existence of hidden braneworlds from experiments. In the present paper, we explore this issue by calculating $g$ for DGP branes, for $M_4\times S_1/Z_2$, $M_4\times R_2$ and $M_4\times T^2$ bulks. As a major result, no disappearance-reappearance experiment would definitively universally rules out the existence of hidden worlds endowed with their own copy of Standard Model particles, excepted for specific scenarios with conditions reachable in future experiments.

    hep-phInt.J.Mod.Phys.A(2020)·5 citations
11. 11*

    Gribov-Zwanziger confinement, high energy evolution and large impact parameter behaviour of the scattering amplitude

    E. Gotsman (Tel Aviv U.)🇮🇱 · E. Levin (Tel Aviv U./UTFSM)🇮🇱

    In this paper we derive the high energy evolution equation in the Gribov-Zwanziger approach, for the confinement of quarks and gluons. We demonstrate that the new equation generates an exponential decrease of the scattering amplitude at large impact parameter, and resolves the main difficulties of CGC (Colour Glass Condensate) high energy effective theory. Such behaviour occurs if the gluon propagator in Gribov-Zwanziger approach, does not vanish at small momenta. Solving the non-linear equation for deep inelastic scattering, we show that the suggested equation leads to a Froissart disc with radius ($R_F$), which increases as $R_F\propto Y=\ln (1/x)$, and with a finite width for the distribution over $|b-R_F|$.

    hep-phhep-thPRD(2021)·9 citations
12. 12*

    Vector bosons and jets at the LHC

    Mathieu Pellen🇬🇧

    In these proceedings I review recent theoretical predictions describing processes involving vector bosons and jets at the LHC. Such processes possess very distinctive phenomenologies and their theoretical accuracy is very different. I focus here on three illustrative cases: the production of a Z boson in association with a b jet, W-pair production in association with a jet, and vector-boson scattering. Some of these theoretical results are also compared to experimental data.

    hep-phhep-exPoS(2021)·0 citations
13. 13*

    Enhanced violation of Leggett-Garg Inequality in three flavour neutrino oscillations via non-standard interactions

    Sheeba Shafaq🇮🇳 · Poonam Mehta🇮🇳

    Neutrino oscillations occur due to non-zero masses and mixings and most importantly they are believed to maintain quantum coherence even over astrophysical length scales. In the present study, we explore the quantumness of three flavour neutrino oscillations by studying the extent of violation of Leggett-Garg inequalities (LGI) if non-standard interactions are taken into account. We report an enhancement in violation of LGI with respect to the standard scenario for appropriate choice of NSI parameters.

    hep-phquant-phJ.Phys.G(2021)·21 citations
14. 14*

    Sufficient and Necessary Conditions for CP Conservation in the Case of Degenerate Majorana Neutrino Masses

    Bingrong Yu🇨🇳 · Shun Zhou🇨🇳

    In this paper, we carry out a systematic study of the sufficient and necessary conditions for CP conservation in the leptonic sector with massive Majorana neutrinos. In particular, the emphasis is placed on the number of CP-violating phases in the presence of a partial mass degeneracy (e.g., $m_1^{}=m_2^{}\ne m_3^{}$) or a complete mass degeneracy $m_1^{}=m_2^{}=m_3^{}$, where $m_i^{}$ (for $i=1,2,3$) stand for the masses of three ordinary neutrinos. In the canonical seesaw model with three right-handed neutrino singlets, CP-violating phases in the special case of a partial (e.g., $M_1^{}=M_2^{}\ne M_3^{}$) or complete (i.e., $M_1^{}=M_2^{}=M_3^{}$) mass degeneracy of three heavy Majorana neutrinos are also examined. In addition, we derive the renormalization-group equations of the weak-basis invariants in the effective theory with a general mass spectrum of Majorana neutrinos, to which the solutions establish the direct connection between CP violation at low- and high-energy scales.

    hep-phPRD(2021)·25 citations
15. 15*

    Four-lepton decays of neutral vector mesons

    Wen Chen🇨🇦 · Yu Jia🇨🇳 · Zhewen Mo🇨🇳 · Jichen Pan🇨🇳 · Xiaonu Xiong🇨🇳

    We investigate the rare electromagnetic decays of neutral vector mesons (exemplified by $J/\psi$, ${\rm Y}$, ${\rho }^0$, $\omega ,\varphi$, \ldots) into four charged leptons ($2(e^{+}{e}^{-})$, $2({\mu }^{+}{\mu }^{-})$, $2({\tau }^{+}{\tau }^{-})$, $e^{+}{e}^{-}{\mu }^{+}{\mu }^{-}$, $e^{+}{e}^{-}{\tau }^{+}{\tau }^{-}$, \ldots) at lowest order in QED. In contrast to the case of vector meson decay into a single pair of leptons, the lepton mass must be retained in these four-lepton decay channels to cutoff the mass singularity. Owing to more pronounced collinear enhancement, the branching fractions of vector mesons decays into $2(e^{+}{e}^{-})$ are considerably greater than those for decays into $2({\mu }^{+}{\mu }^{-})$. The decay channels $J/\psi ({\rm Y})\to 2(e^{+}{e}^{-}),e^{+}{e}^{-}{\mu }^{+}{\mu }^{-}$ are predicted to have branching fractions of order $10^{-5}$, which appear to have bright observation prospect at {\tt BESIII}, {\tt Belle 2} and {\tt LHC} experiments.

    hep-phhep-exPRD(2021)·13 citations
16. 16*

    Gauge Invariant Second Order Gravitational Waves

    Zhe Chang🇨🇳 · Sai Wang🇨🇳 · Qing-Hua Zhu🇨🇳

    We investigate the gauge invariance of the second order gravitational waves induced by the first order scalar perturbations by following the Lie derivative method. It is shown explicitly that the second order gravitational waves are gauge invariant in the synchronous frame. In the gauge invariant framework, we derive the equation of motion of the second order gravitational waves and show that the second order gravitational waves are sourced from the first order scalar perturbations described well in the gauge invariant Newtonian frame. Since the observables of gravitational waves are measured in the synchronous frame, we define the energy density spectrum of the second order gravitational waves in terms of the gauge invariant synchronous variables. This way guarantees no fictitious tensor perturbations. It is shown that the gauge invariant energy density spectrum of the second order gravitational waves coincides with the one in the Newtonian gauge.

    ↳ gr-qcastro-ph.COhep-ph35 citations
17. 17*

    The special point on the hybrid star mass--radius diagram and its multi--messenger implications

    Mateusz Cierniak🇵🇱 · David Blaschke🇵🇱

    We show the existence and investigate the location of the special point (SP) in which hybrid neutron star mass-radius (M-R) curves have to cross each other when they belong to a class of hybrid equation of state (EoS) constructed with generic constant--speed--of--sound (CSS) quark matter models for which the onset deconfinement is varied. We demonstrate that for a three-parameter CSS model the position of the SP in the M-R diagram is largely independent of the choice of the hadronic EoS, but in dependence on the stiffness of the quark matter EoS it spans a region that we identify. We find that the difference between the maximum mass and the SP mass depends on the mass at the onset of deconfinement so that an upper limit of $0.19M_{\odot }$ for this difference is obtained from which a lower limit on the radius of hybrid stars is deduced. Together with a lower limit on the radius of hadronic stars, derived from a class of reasonably soft hadronic EoS including hyperons, we identify a region in the M-R diagram which can be occupied only by hybrid stars. Accordingly, we suggest that a NICER radius measurement on the massive pulsar PSR J0740+6620 in the range of 8.6-11.9 km would indicate that this pulsar is a hybrid neutron star with deconfined quark matter in the inner core.

    ↳ astro-ph.HEhep-phnucl-thEur.Phys.J.ST(2020)·30 citations
18. 18*

    Low-energy Scattering and Effective Interactions of Two Baryons at $m_{\pi }\sim 450$ MeV from Lattice Quantum Chromodynamics

    Marc Illa🇪🇸 · Silas R. Beane🇺🇸 · Emmanuel Chang · Zohreh Davoudi🇺🇸 · William Detmold🇺🇸 · David J. Murphy🇺🇸 · Kostas Orginos🇺🇸 · Assumpta Parreño🇪🇸 · Martin J. Savage🇺🇸 · Phiala E. Shanahan🇺🇸 · Michael L. Wagman🇺🇸 · Frank Winter🇺🇸

    The interactions between two octet baryons are studied at low energies using lattice QCD (LQCD) with larger-than-physical quark masses corresponding to a pion mass of $m_{\pi }\sim 450$ MeV and a kaon mass of $m_K\sim 596$ MeV. The two-baryon systems that are analyzed range from strangeness $S=0$ to $S=-4$ and include the spin-singlet and triplet $NN$, $\Sigma N$ ($I=3/2$), and $\Xi \Xi$ states, the spin-singlet $\Sigma \Sigma$ ($I=2$) and $\Xi \Sigma$ ($I=3/2$) states, and the spin-triplet $\Xi N$ ($I=0$) state. The $s$-wave scattering phase shifts, low-energy scattering parameters, and binding energies when applicable, are extracted using Lüscher's formalism. While the results are consistent with most of the systems being bound at this pion mass, the interactions in the spin-triplet $\Sigma N$ and $\Xi \Xi$ channels are found to be repulsive and do not support bound states. Using results from previous studies at a larger pion mass, an extrapolation of the binding energies to the physical point is performed and is compared with experimental values and phenomenological predictions. The low-energy coefficients in pionless EFT relevant for two-baryon interactions, including those responsible for $SU(3)$ flavor-symmetry breaking, are constrained. The $SU(3)$ symmetry is observed to hold approximately at the chosen values of the quark masses, as well as the $SU(6)$ spin-flavor symmetry, predicted at large $N_c$. A remnant of an accidental $SU(16)$ symmetry found previously at a larger pion mass is further observed. The $SU(6)$-symmetric EFT constrained by these LQCD calculations is used to make predictions for two-baryon systems for which the low-energy scattering parameters could not be determined with LQCD directly in this study, and to constrain the coefficients of all leading $SU(3)$ flavor-symmetric interactions, demonstrating the predictive power of two-baryon EFTs matched to LQCD.

    ↳ hep-lathep-phnucl-thPRD(2021)·55 citations
19. 19*

    Finite-volume energy spectrum of the $K^{-}{K}^{-}{K}^{-}$ system

    Andrei Alexandru🇺🇸 · Ruairí Brett🇺🇸 · Chris Culver🇬🇧 · Michael Döring🇺🇸 · Dehua Guo🇺🇸 · Frank X. Lee🇺🇸 · Maxim Mai🇺🇸

    The dynamics of multi-kaon systems are of relevance for several areas of nuclear physics. However, even the simplest systems, two and three kaons, are hard to prepare and study experimentally. Here we show how to extract this information using first-principle lattice QCD results. We (1) extend the relativistic three-body quantization condition to the strangeness sector, predicting for the first time the excited level finite-volume spectrum of three kaon systems at maximal isospin, and (2) present a first lattice QCD calculation of the excited levels of this system in a finite box. We compare our predictions with the lattice results reported here and with previous ground state calculations and find very good agreement.

    ↳ hep-lathep-phnucl-thPRD(2020)·84 citations
20. 20*

    A unique gravitational wave signal from phase transition during inflation

    Haipeng An🇨🇳 · Kun-Feng Lyu🇨🇳 · Lian-Tao Wang🇺🇸 · Siyi Zhou🇸🇪

    We study the properties of the gravitational wave (GW) signals produced by first order phase transitions during the inflation era. We show that the power spectrum of the GW oscillates with its wave number. This signal can be observed directly by future terrestrial and spatial gravitational wave detectors and through the B-mode spectrum in CMB. This oscillatory feature of GW is generic for any approximately instantaneous sources occurring during inflation and is distinct from the GW from phase transitions after the inflation. The details of the GW spectrum contain information about the scale of the phase transition and the later evolution of the universe.

    ↳ astro-ph.COhep-phCPC(2022)·32 citations
21. 21*

    QCD phase diagram at finite isospin and baryon chemical potentials with the self-consistent mean field approximation

    Zu-Qing Wu🇨🇳 · Jia-Lun Ping🇨🇳 · Hong-Shi Zong🇨🇳

    The self-consistent mean field approximation of two-flavor NJL model with introducing a free parameter $\alpha$ to reflect the competition between "direct" channel and the "exchange" channel, is employed to study QCD phase structure at finite isospin chemical potential ${\mu }_I$, finite baryon chemical potential ${\mu }_B$ and finite temperature $T$, especially the location of the QCD critical point. It is found that, for fixed isospin chemical potentials the lower temperature of phase transition is obtained with $\alpha$ increasing in the $T-{\mu }_I$ plane, and the largest difference of the phase transition temperature with different $\alpha$'s appears at ${\mu }_I\sim 1.5m_{\pi }$. At ${\mu }_I=0$ the temperature of the QCD critical end point (CEP) decreases with $\alpha$ increasing, while the critical baryon chemical potential increases. At high isospin chemical potential (${\mu }_I=500$ MeV), the temperature of the QCD tricritical point (TCP) increases with $\alpha$ increasing, and in the regions of low temperature the system will transit from pion superfluidity phase to the normal phase as ${\mu }_B$ increases. At low temperatures, the critical temperature of QCD phase transition with different $\alpha$'s rapidly increases with ${\mu }_I$ at the beginning, and then increases smoothly around ${\mu }_I>300$ MeV. In high baryon density region, the increase of the isospin chemical potential will raise the critical baryon chemical potential of phase transition.

    ↳ nucl-thhep-phCPC(2021)·7 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.