PaperPanorama

HEP Phenomenology·hep-ph

Wed·Feb 3, 2016

29 papers21 primary·8 cross-listed·reconstructed*

  1. 01*

    Cosmic ray air showers from sphalerons

    Gustaaf Brooijmans🇺🇸 · Peter Schichtel🇬🇧 · Michael Spannowsky🇬🇧

    The discovery of the Higgs boson marks a key ingredient to establish the electroweak structure of the Standard Model. Its non-abelian gauge structure gives rise to, yet unobserved, non-perturbative baryon and lepton number violating processes. We propose to use cosmic ray air showers, as measured at the Pierre Auger Observatory, to set a limit on the hadronic production cross section of sphalerons. We identify several observables to discriminate between sphaleron and QCD induced air showers.

    hep-phPLB(2016)·27 citations
  2. 02*

    Sterile Neutrino Fits to Short Baseline Data

    G.H. Collin🇺🇸 · C.A. Argüelles🇺🇸 · J.M. Conrad🇺🇸 · M.H. Shaevitz🇺🇸

    Neutrino oscillation models involving extra mass eigenstates beyond the standard three (3+N) are fit to global short baseline experimental data. We find that 3+1 has a best fit of Delta m^2_41 = 1.75 eV^2 with a Delta chi^2 [null-min] (dof) of 52.34 (3). The 3+2 fit has a Delta chi^2 [null-min] (dof) of 56.99 (7). Bayesian credible intervals are shown for the first time for a 3+1 model. These are found to be in agreement with frequentist intervals. The results of these new fits favor a higher Delta m^2 value than previous studies, which may have an impact on future sterile neutrino searches such as the Fermilab SBN program.

    hep-phhep-exNPB(2016)·84 citations
  3. 03*

    Lepton Flavor Violating Decays of Neutral Higgses in Extended Mirror Fermion Model

    Chia-Feng Chang🇹🇼 · Chia-Hung Vincent Chang🇹🇼 · Chrisna Setyo Nugroho🇹🇼 · Tzu-Chiang Yuan🇹🇼

    We perform the one-loop induced charged lepton flavor violating decays of the neutral Higgses in an extended mirror fermion model with non-sterile electroweak-scale right-handed neutrinos and a horizontal symmetry in the lepton sector. We demonstrate that for the 125 GeV scalar there is tension between the recent LHC result 1% and the stringent limits on the rare processes and or from low energy experiments.

    hep-phNPB(2016)·28 citations
  4. 04*

    CPT, CP, and C transformations of fermions, and their consequences, in theories with B-L violation

    Susan Gardner🇺🇸 · Xinshuai Yan🇺🇸

    We consider the transformation properties of fermions under the discrete symmetries CPT, CP, and C in the presence of B-L violation. We thus generalize the analysis of the known properties of Majorana neutrinos, probed via neutrinoless double beta decay, to include the case of Dirac fermions with B-L violation, which can be probed via neutron-antineutron oscillations. We show that the resulting CPT phase has implications for the interplay of neutron-antineutron oscillations with external fields and sources and consider the differences in the Majorana dynamics of neutrinos and neutrons in the context of theories with self-conjugate isospin I=0 and I=1/2 fields.

    hep-phnucl-thPRD(2016)·25 citations
  5. 05*

    High precision determination of the gluon fusion Higgs boson cross-section at the LHC

    Charalampos Anastasiou🇨🇭 · Claude Duhr🇨🇭 · Falko Dulat🇨🇭 · Elisabetta Furlan🇨🇭 · Thomas Gehrmann🇨🇭 · Franz Herzog🇳🇱 · Achilleas Lazopoulos🇨🇭 · Bernhard Mistlberger🇨🇭

    We present the most precise value for the Higgs boson cross-section in the gluon-fusion production mode at the LHC. Our result is based on a perturbative expansion through NLO in QCD, in an effective theory where the top-quark is assumed to be infinitely heavy, while all other Standard Model quarks are massless. We combine this result with QCD corrections to the cross-section where all finite quark-mass effects are included exactly through NLO. In addition, electroweak corrections and the first corrections in the inverse mass of the top-quark are incorporated at three loops. We also investigate the effects of threshold resummation, both in the traditional QCD framework and following a SCET approach, which resums a class of contributions to all orders. We assess the uncertainty of the cross-section from missing higher-order corrections due to both perturbative QCD effects beyond NLO and unknown mixed QCD-electroweak effects. In addition, we determine the sensitivity of the cross-section to the choice of parton distribution function (PDF) sets and to the parametric uncertainty in the strong coupling constant and quark masses. For a Higgs mass of and an LHC center-of-mass energy of , our best prediction for the gluon fusion cross-section is \[ \sigma = 48.58\,{\rm pb} {}^{+2.22\, {\rm pb}\, (+4.56\%)}_{-3.27\, {\rm pb}\, (-6.72\%)} \mbox{ (theory)} \pm 1.56 \,{\rm pb}\, (3.20\%) \mbox{ (PDF+)} \]

    hep-phJHEP(2016)·675 citations
  6. 06*

    Self-induced neutrino flavor conversion without flavor mixing

    Sovan Chakraborty🇩🇪 · Rasmus Sloth Hansen🇩🇪 · Ignacio Izaguirre🇩🇪 · Georg Raffelt🇩🇪

    Neutrino-neutrino refraction in dense media can cause self-induced flavor conversion triggered by collective run-away modes of the interacting flavor oscillators. The growth rates were usually found to be of order a typical vacuum oscillation frequency . However, even in the simple case of a beam interacting with an opposite-moving beam, and allowing for spatial inhomogeneities, the growth rate of the fastest-growing Fourier mode is of order , a typical -- interaction energy. This growth rate is much larger than the vacuum oscillation frequency and gives rise to flavor conversion on a much shorter time scale. This phenomenon of "fast flavor conversion" occurs even for vanishing and thus does not depend on energy, but only on the angle distributions. Moreover, it does not require neutrinos to mix or to have masses, except perhaps for providing seed disturbances. We also construct a simple homogeneous example consisting of intersecting beams and study a schematic supernova model proposed by Ray Sawyer, where and emerge with different zenith-angle distributions, the key ingredient for fast flavor conversion. What happens in realistic astrophysical scenarios remains to be understood.

    hep-phastro-ph.SRJCAP(2016)·158 citations
  7. 07*

    Sigma Models with Negative Curvature

    Rodrigo Alonso🇺🇸 · Elizabeth E. Jenkins🇺🇸 · Aneesh V. Manohar🇺🇸

    We construct Higgs Effective Field Theory (HEFT) based on the scalar manifold H^n, which is a hyperbolic space of constant negative curvature. The Lagrangian has a non-compact O(n,1) global symmetry group, but it gives a unitary theory as long as only a compact subgroup of the global symmetry is gauged. Whether the HEFT manifold has positive or negative curvature can be tested by measuring the S-parameter, and the cross sections for longitudinal gauge boson and Higgs boson scattering, since the curvature (including its sign) determines deviations from Standard Model values.

    hep-phPLB(2016)·69 citations
  8. 08*

    Hidden SU(N) Glueball Dark Matter

    Amarjit Soni🇺🇸 · Yue Zhang🇺🇸

    We investigate the possibility that the dark matter candidate is from a pure non-abelian gauge theory of the hidden sector, motivated in large part by its elegance and simplicity. The dark matter is the lightest bound state made of the confined gauge fields, the hidden glueball. We point out this simple setup is capable of providing rich and novel phenomena in the dark sector, especially in the parameter space of large N. They include self-interacting and warm dark matter scenarios, Bose-Einstein condensation leading to massive dark stars possibly millions of times heavier than our sun giving rise to gravitational lensing effects, and indirect detections through higher dimensional operators as well as interesting collider signatures.

    hep-phastro-ph.COPRD(2016)·169 citations
  9. 09*

    Neutrino oscillations and the seesaw origin of neutrino mass

    O. G. Miranda🇲🇽 · J. W. F. Valle🇪🇸

    The historical discovery of neutrino oscillations using solar and atmospheric neutrinos, and subsequent accelerator and reactor studies, has brought neutrino physics to the precision era. We note that CP effects in oscillation phenomena could be difficult to extract in the presence of unitarity violation. As a result upcoming dedicated leptonic CP violation studies should take into account the non-unitarity of the lepton mixing matrix. Restricting non-unitarity will shed light on the seesaw scale, and thereby guide us towards the new physics responsible for neutrino mass generation.

    hep-phhep-exNPB(2016)·42 citations
  10. 10*

    Lepton Flavor Violation in Exclusive Decays

    Damir Becirevic🇫🇷 · Olcyr Sumensari🇫🇷 · Renata Zukanovich Funchal🇧🇷

    Starting from the general effective hamiltonian relevant to the transitions, we derive the expressions for the full angular distributions of the decay modes, as well as for (). We point out the differences in the treatment of the lepton flavor violating modes with respect to the lepton flavor conserving ones. Concerning the relevant Wilson coefficients we evaluate them in two different scenarios: (i) The (pseudo-)scalar coefficients are obtained using the (pseudo-)scalar coupling extracted from the experimental non-zero value of , (ii) Revisiting a -model in which the flavor changing neutral couplings are allowed. We provide the numerical estimates of the branching fractions of the above-mentioned modes in both scenarios.

    hep-phhep-exhep-latEPJC(2016)·172 citations
  11. 11*

    Asymptotic regimes for hadron diffractive scatterings and coulomb interaction. Arguments for the black disk mode

    V.V. Anisovich🇷🇺 · V.A. Nikonov🇷🇺 · J. Nyiri🇭🇺

    Comparative analysis of the interplay of hadron and Coulomb interactions in scattering amplitudes is performed in a broad energy interval, TeV, for two extreme cases: for the asymptotic interactions of hadrons in black disk and resonant disk modes. The interactions are discussed in terms of the -matrix function technique. In the asymptotic regime the real part of the hadronic amplitude is concentrated in both cases on the boundary of the disks in the impact parameter space but the LHC energy region is not asymptotic for the resonant disk mode that lead to a specific interplay of hadronic and coulombic amplitudes. For the scattering at TeV an interplay of the hadron and Coulomb interactions in the resonant disk modes is realized in a shoulder in at GeV. The absence of such a shoulder in the data at 8 TeV can be considered as an argument against the resonant disk mode.

    hep-phInt.J.Mod.Phys.A(2016)·2 citations
  12. 12*

    Double Froggatt--Nielsen Mechanism

    Kenji Nishiwaki🇰🇷 · Yusuke Shimizu🇯🇵 · Yoshiyuki Tatsuta🇯🇵

    We present a doubly parametric extension of the standard Froggatt--Nielsen (FN) mechanism. As is well known, mass matrices of the up- and down-type quark sectors and the charged lepton sector in the standard model can be parametrized well by a parameter which is usually taken to be the sine of the Cabibbo angle (). However, in the neutrino sector, there is still room to realize the two neutrino mass squared differences and , two large mixing angles and , and non-zero . Then we consider an extension with an additional parameter in addition to . Taking the relevant FN charges for a power of and additional FN charges for a power of , which we assume to be less than one, we can reproduce the ratio of the two neutrino mass squared differences and three mixing angles. In the normal neutrino mass hierarchy, we show several patterns for taking relevant FN charges and the magnitude of . We find that if is measured more precisely, we can distinguish each pattern. This is testable in the near future, for example in neutrino oscillation experiments. In addition, we predict the Dirac CP-violating phase for each pattern.

    hep-phPTEP(2016)·2 citations
  13. 13*

    The radius of the rho meson determined from its decay constant

    A.F. Krutov🇷🇺 · R.G. Polezhaev🇷🇺 · V.E. Troitsky🇷🇺

    We present a unified model describing electroweak properties of the pi and rho mesons. Using a general method of relativistic parametrization of matrix elements of local operators, adjusted for the nondiagonal in total angular momentum case, we calculate the rho-meson lepton-decay constant f_rho using the same parameters of free constituent quarks that have ensured exclusively good results for the pi meson previously. The only free parameter, characterizing quark interactions, which include additional spin-spin contribution and hence differ from the -meson case, is fixed by matching the decay constant to its experimental value. The mean square charge radius is calculated, <r^2_rho>=(0.56+-0.04) fm^2. This result verifies, for the rho-meson case, the conjecture of equality between electromagnetic and strong radii of hadrons tested previously for proton, pi and K mesons.

    hep-phnucl-thPRD(2016)·43 citations
  14. 14*

    A Brief Comment on Multi-Gluon Amplitudes and Double Parton Interactions

    Daniele Treleani🇮🇹 · Giorgio Calucci🇮🇹

    A typical contribution to a color ordered multi-gluon amplitude, which can split into two weakly correlated two-body gluon scattering amplitudes and may thus contribute to a Double Parton Interaction, is briefly discussed. We find that the color ordered amplitude is not enhanced in the typical configuration generated by a DPI, where the transverse momenta of final state gluons are compensated pairwise, while a dominant contribution to the multi-gluon amplitude is due to terms proportional to the fusion amplitude of two initial state gluons. Which corresponds to an amplitude effectively describing a two rather than a three-body partonic interaction.

    hep-ph0 citations
  15. 15*

    The coherent cross section of vector mesons in ultraperipheral PbPb collisions at the LHC

    Ya-ping Xie🇨🇳 · Xurong Chen🇨🇳

    The coherent cross section of , , are computed in dipole model in the ultraperipheral PbPb collisions, the IP-Sat and IIM model are applied in the calculation of the differential cross section of the dipole scattering off the nucleon, three kinds of forward vector meson wave functions are used in the overlap. The prediction of and is compared with the experimental data of the ALICE Collaboration, and the prediction of is also given in this paper.

    hep-phEPJC(2016)·26 citations
  16. 16*

    Interplay of quark and meson degrees of freedom in near-threshold states: A practical parametrisation for line shapes

    F.-K. Guo🇨🇳 · C. Hanhart🇩🇪 · Yu.S. Kalashnikova🇷🇺 · P. Matuschek🇩🇪 · R.V. Mizuk🇷🇺 · A.V. Nefediev🇷🇺 · Q. Wang🇩🇪 · J.-L. Wynen🇩🇪

    We propose a practical parametrisation for the line shapes of near-threshold states compatible with all requirements of unitarity and analyticity. The coupled-channel system underlying the proposed parametrisation includes bare poles and an arbitrary number of elastic and inelastic channels treated fully nonperturbatively. The resulting formulae are general enough to be used for a simultaneous analysis of the data in all available production and decay channels of the (system of) state(s) under consideration for a quite wide class of reactions. As an example, we fit the experimental data currently available for several decay channels for the charged states in the spectrum of bottomonia and find a good overall description of the data. We find the present data to be consistent with the as a virtual state and with the as a resonance, both residing very close to the and threshold, respectively.

    hep-phhep-exhep-latnucl-thPRD(2016)·93 citations
  17. 17*

    A coordinate description of partonic processes

    Ozan Erdogan🇺🇸 · George Sterman🇺🇸

    We review a perturbative description of amplitudes in coordinate space, aiming at an intuitive perspective on the roles of "long" and "short" distances. We begin with coordinate-space leading regions for fixed-angle scattering amplitudes, and develop approximations and factorizations in analogy to similar procedures in momentum space. There are also applications to products of Wilson lines, including the familiar cusp amplitude. We briefly discuss cross sections from the coordinate viewpoint, and the mechanism by which infrared singularities cancel in inclusive cross sections.

    hep-phhep-thPoS(2016)·5 citations
  18. 18*

    Diphotons from Diaxions

    Luis Aparicio🇮🇹 · Aleksandr Azatov🇮🇹 · Edward Hardy🇮🇹 · Andrea Romanino🇮🇹

    We study models in which the 750 GeV diphoton excess is due to a scalar decaying to two pseudo-Nambu-Goldstone bosons that subsequently decay into two pairs of highly boosted photons, misidentified as individual photons. Performing a model independent analysis we find that, with axion mass around MeV, this class of theories can naturally explain the observed signal with a large width, without violating monojet constraints. At the same time the requirement of a prompt axion decay can be satisfied only with a relatively large axion-photon coupling, leading to many new charged particles at the TeV scale. However, the required multiplicities of such fields is still moderately reduced relative to models with direct diphoton production.

    hep-phJHEP(2016)·58 citations
  19. 19*

    Systematic Study of Diphoton Resonance at 750 GeV from Sgoldstino

    Ran Ding🇨🇳 · Yizhou Fan🇨🇳 · Li Huang🇨🇳 · Chuang Li🇨🇳 · Tianjun Li🇨🇳 · Shabbar Raza🇨🇳 · Bin Zhu🇨🇳

    The ATLAS and CMS Collaborations of the Large Hadron Collider (LHC) have reported an excess of events in diphoton channel with invariant mass of about 750 GeV. With low energy supersymmetry breaking, we systematically consider the sgoldstino scalar as the new resonance, which is a linear combination of the CP-even scalar and CP-odd pseudoscalar . Because we show that and can be degenerated or have large mass splitting, we consider two cases for all the following three scenarios: (1) Single resonance. is the 750 GeV resonance decays to a pair of 1 GeV pseudoscalar . With suitable decay length, these two decay into collimated pair of photons which cannot be distinguished at the LHC and may appear as diphotons instead of four photons. (2) Twin resonances. with a mass difference of about 40 GeV and both and decay into diphoton pairs. For productions, we consider three scenarios: (I) vector boson fusion; (II) gluon gluon fusion; (III) pair production. In all these scenarios with two kinds of resonances, we find the parameter space that satisfies the diphoton production cross section from 3 to 13 and all the other experimental constraints. And we address the decay width as well. In particular, in the third scenario, we observe that the production cross section is small but the decay width of or can be from 40 to 60 GeV.

    hep-phInt.J.Mod.Phys.A(2016)·37 citations
  20. 20*

    Hadronic contributions to electroweak observables in the framework of DPT

    A.V.Nesterenko🇷🇺

    The hadronic contributions to the muon anomalous magnetic moment and to the shift of the electromagnetic fine structure constant at the scale of Z boson mass are evaluated within dispersively improved perturbation theory (DPT). The latter merges the corresponding perturbative input with intrinsically nonperturbative constraints, which originate in the respective kinematic restrictions. The obtained results conform with recent assessments of the quantities on hand.

    hep-ph3 citations
  21. 21*

    Extracting constraints from direct detection searches of supersymmetric dark matter in the light of null results from the LHC in the squark sector

    Q. Riffard🇫🇷 · F. Mayet🇫🇷 · G. Bélanger🇫🇷 · M.-H. Genest🇫🇷 · D. Santos🇫🇷

    The comparison of the results of direct detection of Dark Matter, obtained with various target nuclei, requires model-dependent, or even arbitrary, assumptions. Indeed, to draw conclusions either the spin-dependent (SD) or the spin-independent (SI) interaction has to be neglected. In the light of the null results from supersymmetry searches at the LHC, the squark sector is pushed to high masses. We show that for a squark sector at the TeV scale, the framework used to extract contraints from direct detection searches can be redefined as the number of free parameters is reduced. Moreover, the correlation observed between SI and SD proton cross sections constitutes a key issue for the development of the next generation of Dark Matter detectors.

    hep-phastro-ph.COhep-exPRD(2016)·7 citations
  22. 22*

    Neutrino Interactions with Nucleons and Nuclei: Importance for Long-Baseline Experiments

    Ulrich Mosel🇩🇪

    This article reviews our present knowledge of neutrino interactions with nucleons and discusses the interactions with nuclei, the target material of all presently running and planned long-baseline experiments. I emphasize descriptions of semi-inclusive reactions and full descriptions of the final state; the latter are needed to reconstruct the incoming neutrino energy from final-state observations. I then discuss Monte Carlo generator and more advanced transport theoretical approaches in connection with experimental results on various reaction mechanisms. Finally, I describe the effects of uncertainties in the reconstruction of the incoming neutrino energy on oscillation parameters. The review argues that the precision era of neutrino physics also needs precision-era generators.

    nucl-thhep-exhep-phnucl-exAnn.Rev.Nucl.Part.Sci.(2016)·128 citations
  23. 23*

    The DBI Action, Higher-derivative Supergravity, and Flattening Inflaton Potentials

    Sjoerd Bielleman🇪🇸 · Luis E. Ibanez🇪🇸 · Francisco G. Pedro🇪🇸 · Irene Valenzuela🇩🇪 · Clemens Wieck🇪🇸

    In string theory compactifications it is common to find an effective Lagrangian for the scalar fields with a non-canonical kinetic term. We study the effective action of the scalar position moduli of Type II D-branes. In many instances the kinetic terms are in fact modified by a term proportional to the scalar potential itself. This can be linked to the appearance of higher-dimensional supersymmetric operators correcting the Kähler potential. We identify the supersymmetric dimension-eight operators describing the corrections captured by the D-brane Dirac-Born-Infeld action. Our analysis then allows an embedding of the D-brane moduli effective action into an supergravity formulation. The effects of the potential-dependent kinetic terms may be very important if one of the scalars is the inflaton, since they lead to a flattening of the scalar potential. We analyze this flattening effect in detail and compute its impact on the CMB observables for single-field inflation with monomial potentials.

    hep-thastro-ph.COhep-phJHEP(2016)·29 citations
  24. 24*

    Holography Inspired Stringy Hadrons

    Jacob Sonnenschein🇮🇱

    Holography inspired stringy hadrons (HISH) is a set of models that describe hadrons: mesons, baryons and glueballs as strings in four dimensional space time. The models are based on a "map" from stringy hadrons of holographic confining backgrounds. In this note we review the "derivation" of the models. We start with a brief reminder of the passage from the AdS5xS5 string theory to certain flavored confining holographic models. We then describe the string configurations in holographic backgrounds that correspond to a Wilson line,a meson,a baryon and a glueball. The key ingredients of the four dimensional picture of hadrons are the "string endpoint mass" and the "baryonic string vertex". We determine the classical trajectories of the HISH. We review the current understanding of the quantization of the hadronic strings. We end with a summary of the comparison of the outcome of the HISH models with the PDG data about mesons and baryons. We extract the values of the tension, masses and intercepts from best fits, write down certain predictions for higher excited hadrons and present attempts to identify glueballs

    hep-thhep-exhep-lathep-ph+1PPNP(2017)·40 citations
  25. 25*

    Les composantes obscures de l'Univers

    Luc Blanchet🇫🇷 · Benoit Famaey🇫🇷

    This article is the detailed version of a paper on dark matter, dark energy, and modified gravity, published in the December 2015-January 2016 special issue of "La Recherche" (in French)

    physics.pop-phastro-ph.COastro-ph.GAgr-qc+1La Recherche, Hors-Serie 16, pages 70-76,…·1 citation
  26. 26*

    Entanglement Entropy of Scattering Particles

    Robi Peschanski🇫🇷 · Shigenori Seki🇰🇷

    We study the entanglement entropy between the two outgoing particles in an elastic scattering process. It is formulated within an S-matrix formalism using the partial wave expansion of two-body states, which plays a significant role in our computation. As a result, we obtain a novel formula that expresses the entanglement entropy in a high energy scattering by the use of physical observables, namely the elastic and total cross sections and a physical bound on the impact parameter range, related to the elastic differential cross-section.

    hep-thcond-mat.stat-mechhep-phPLB(2016)·96 citations
  27. 27*

    HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalizedhypergeometric functions: Fc hypergeometric function of three variables

    V. Bytev🇩🇪 · B. Kniehl🇩🇪

    We present a further extension of the HYPERDIRE project, which is devoted to the creation of a set of Mathematica-based program packages for manipulations with Horn-type hypergeometric functions on the basis of differential equations. Specifically, we present the implementation of the differential reduction for the Lauricella function of three variables.

    math-phcs.SChep-phhep-th+1Comput.Phys.Commun.(2016)·20 citations
  28. 28*

    Constraints on Dark Matter Annihilation/Decay from the Isotropic Gamma-Ray Background

    Wei Liu🇨🇳 · Xiao-Jun Bi🇨🇳 · Su-Jie Lin🇨🇳 · Peng-Fei Yin🇨🇳

    In this work we study the constraints on dark matter (DM) annihilation/decay from the Fermi-LAT Isotropic Gamma-Ray Background (IGRB) observation. We consider the contributions from both extragalactic and galactic DM components. For DM annihilation, the evolutions of extragalactic DM halos are taken into account. We find that the IGRB constraints under some DM subhalo models can be comparable to those derived from the observations of dwarf spheroidal galaxies. We also use the IGRB results to constrain the parameter regions accounting for the latest AMS-02 electron-positron anomaly. We find that the majority of DM annihilation/decay channels are strongly disfavored by the latest Fermi-LAT IGRB observation; only DM annihilation/decay to may be valid.

    astro-ph.COastro-ph.HEhep-phCPC(2017)·64 citations
  29. 29*

    Chiral Random Matrix Model at Finite Chemical Potential: Characteristic Determinant and Edge Universality

    Yizhuang Liu🇺🇸 · Maciej A. Nowak🇵🇱 · Ismail Zahed🇺🇸

    We derive an exact formula for the stochastic evolution of the characteristic determinant of a class of deformed Wishart matrices following from a chiral random matrix model of QCD at finite chemical potential. In the WKB approximation, the characteristic determinant describes a sharp droplet of eigenvalues that deforms and expands at large stochastic times. Beyond the WKB limit, the edges of the droplet are fuzzy and described by universal edge functions. At the chiral point, the characteristic determinant in the microscopic limit is universal. Remarkably, the physical chiral condensate at finite chemical potential may be extracted from current and quenched lattice Dirac spectra using the universal edge scaling laws, without having to solve the QCD sign problem.

    hep-lathep-phhep-thmath-ph+1NPB(2016)·2 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.