Rodrigo Alonso’s research while affiliated with The University of Tokyo and other places

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Publications (20)


Covariant derivative expansion for the renormalization of gravity
  • Preprint

December 2019

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7 Reads

Rodrigo Alonso

The one loop UV divergences of Hilbert-Einstein gravity with a cosmological constant and spin 0, 1/2 and 1 matter are computed making use of a covariant derivative expansion and functional methods. For this purpose the transformation that yields the covariant derivative is extended to include a dynamical metric and the expansion in the fields themselves is made covariant which is relevant for the effective action due to the non-linear character of gravity


Amplitudes, resonances, and the ultraviolet completion of gravity
  • Article
  • Full-text available

November 2019

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15 Reads

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17 Citations

Physical Review D

This paper constructs, making use of the on-shell spinor-helicity formalism, a possible ultraviolet completion of gravity following a “bottom-up” approach. The assumptions of locality, unitarity, and causality i) require an infinite tower of resonances with increasing spin and quantized mass, ii) introduce a duality relation among crossed scattering channels, and iii) dress all gravitational amplitudes in the Standard Model with a form factor that closely resembles either the Veneziano or the Virasoro-Shapiro amplitude in string theory. As a consequence of unitarity, the theory predicts leading order deviations from General Relativity in the coupling of gravity to fermions that could be explained if space-time has torsion in addition to curvature.

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Exploring the ultra-light to sub-MeV dark matter window with atomic clocks and co-magnetometers

July 2019

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44 Reads

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37 Citations

Journal of High Energy Physics

A bstract Particle dark matter could have a mass anywhere from that of ultralight candidates, m χ ∼ 10 ⁻²¹ eV, to scales well above the GeV. Conventional laboratory searches are sensitive to a range of masses close to the weak scale, while new techniques are required to explore candidates outside this realm. In particular lighter candidates are difficult to detect due to their small momentum. Here we study two experimental set-ups which do not require transfer of momentum to detect dark matter: atomic clocks and co-magnetometers. These experiments probe dark matter that couples to the spin of matter via the very precise measurement of the energy difference between atomic states of different angular momenta. This coupling is possible (even natural) in most dark matter models, and we translate the current experimental sensitivity into implications for different dark matter models. It is found that the constraints from current atomic clocks and co-magnetometers can be competitive in the mass range m χ ∼ 10 ⁻²¹ −10 ³ eV, depending on the model. We also comment on the (negligible) effect of different astrophysical neutrino backgrounds.


On amplitudes, resonances and the ultraviolet completion of gravity

June 2019

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9 Reads

This letter constructs, making use of the on-shell spinor-helicity formalism, a possible ultraviolet completion of gravity following a "bottom-up" approach. The assumptions of locality, unitarity and causality i) require an infinite tower of resonances with increasing spin and quantized mass, ii) introduce a duality relation among crossed scattering channels, and iii) dress all gravitational amplitudes in the Standard Model with a form factor that closely resembles either the Veneziano or the Virasoro-Shapiro amplitude in string theory. As a consequence of unitarity, the theory predicts leading order deviations from General Relativity in the coupling of gravity to fermions that could be explained if space-time has torsion in addition to curvature.


FIG. 1. Frequency shift [in units of Re½f 1 − f 2 Š=ðkd 2 TÞ] for Rabi (blue) and Ramsey (orange) spectroscopy as a function of the time t c at which scattering takes place.
Scattering of light dark matter in atomic clocks

May 2019

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46 Reads

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25 Citations

Physical Review D

We present a detailed analysis of the effect of light dark matter (DM) on atomic clocks, for the case where DM mass and density are such that occupation numbers are low and DM must be considered as particles scattering off the atoms, rather than a classical field. We show that the resulting atomic clock frequency shifts are first order in the scattering amplitudes and particularly suited to constrain DM models in the regime where the DM mass mχ≪ GeV. We provide some rough order of magnitude estimates of sensitivity that can be confronted to any DM model that allows for nonzero differential scattering amplitudes of the two atomic states involved in the clock.


Figure 1: Kinematics of the decay chain B → Dν[τ → dν(¯ ν)], where d = {π, ρ, }. The momenta of the D meson and the tau lepton span the plane in B → Dτν decays (in green). The momenta of the tau lepton and its visible decay product d span a second plane in the subsequent decay τ → dν(¯ ν) (in blue).
Figure 2: Decay rate dΓ and angular asymmetries A d of final-state particles d = π, ρ, .
Tau polarimetry in B meson decays

February 2019

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64 Reads

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8 Citations

SciPost Physics Proceedings

This article summarizes recent developments in B\to D^{(\ast)}\tau\nuB→D(*)τν decays. We explain how to extract the tau lepton’s production properties from the kinematics of its decay products. The focus is on hadronic tau decays, which are most sensitive to the tau polarizations. We present new results for effects of new physics in tau polarization observables and quantify the observation prospects at BELLE II.


Tau Polarimetry in B Meson Decays

November 2018

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2 Reads

This article summarizes recent developments in BD()τνB\to D^{(\ast)}\tau\nu decays. We explain how to extract the tau lepton's production properties from the kinematics of its decay products. The focus is on hadronic tau decays, which are most sensitive to the tau polarizations. We present new results for effects of new physics in tau polarization observables and quantify the observation prospects at BELLE II.


Scattering of light dark matter in atomic clocks

October 2018

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20 Reads

We present a detailed analysis of the effect of light Dark Matter (DM) on atomic clocks, for the case where DM mass and density are such that occupation numbers are low and DM must be considered as particles scattering off the atoms, rather than a classical field. We show that the resulting atomic clock frequency shifts are first order in the scattering amplitudes, and particularly suited to constrain DM models in the regime where the DM mass mχm_\chi \ll GeV. We provide some rough order of magnitude estimates of sensitivity that can be confronted to any DM model that allows for non zero differential scattering amplitudes of the two atomic states involved in the clock.


Exploring the ultra-light to sub-MeV dark matter window with atomic clocks and co-magnetometers

October 2018

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18 Reads

Particle dark matter could have a mass anywhere from that of ultralight candidates, mχ1021m_\chi\sim 10^{-21}\,eV, to scales well above the GeV. Conventional laboratory searches are sensitive to a range of masses close to the weak scale, while new techniques are required to explore candidates outside this realm. In particular lighter candidates are difficult to detect due to their small momentum. Here we study two experimental set-ups which {\it do not require transfer of momentum} to detect dark matter: atomic clocks and co-magnetometers. These experiments probe dark matter that couples to the spin of matter via the very precise measurement of the energy difference between atomic states of different angular momenta. This coupling is possible (even natural) in most dark matter models, and we translate the current experimental sensitivity into implications for different dark matter models. It is found that the constraints from current atomic clocks and co-magnetometers can be competitive in the mass range mχ1021103m_\chi\sim 10^{-21}-10^3\,eV, depending on the model. We also comment on the (negligible) effect of different astrophysical neutrino backgrounds.


Figure 1. A single clockwork chain with a chiral fermion, ψ R,0 , on the 0-th node, and vector-like fermion pairs, ψ R,i , ψ L,i , on the other N nodes. The pattern of mass couplings is denoted in blue.
Figure 6. Top: the traditional FN chain with the fields on the same node carrying the same U(1) H horizontal (and electroweak) charges. The chiral fields on the outermost nodes are charged under U(1) H. Bottom: re-grouping into two clockwork chains connected through a Higgs Yukawa interaction on the middle node after flavon obtains a vev, φ = 0.
Figure 9. Example upper bounds on the total number of colored Dirac fermions (N f = 6 + N gears ) or, equivalently, on the effective number of gears per quark flavor ( ¯ N gears ≡ N gears /12) as a function of the assumed common gear mass, M. Requiring there is no Landau pole in α s below Λ Landau = 10(100)M gives the bounds shown as orange (lower, green) lines, when rounding N f to the closest integer.
Figure 13. Distribution of the lower-mass bounds (in TeV) for a million pairs of randomly generated anarchic Yukawa matrices, Y U,D , such that the SM quark masses and CKM matrix elements are at their experimental values. The lower bounds on the M u,d,Q masses follow from low-energy observables assuming that only one type of gear is active at a time.
A clockwork solution to the flavor puzzle

October 2018

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81 Reads

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61 Citations

Journal of High Energy Physics

Rodrigo Alonso

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Barry M. Dillon

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A bstract We introduce a set of clockwork models of flavor that can naturally explain the large hierarchies of the Standard Model quark masses and mixing angles. Since the clockwork only contains chains of new vector-like fermions without any other dynamical fields, the flavor constraints allow for relatively light new physics scale. For two benchmarks with gear masses just above 1 TeV, allowed by flavor constraints, we discuss the collider searches and the possible ways of reconstructing gear spectra at the LHC. We also examine the similarities and differences with the other common solutions to the SM flavor puzzle, i.e., with the Froggatt-Nielsen models, where we identify a new clockworked version, and with the Randall-Sundrum models.


Citations (12)


... In general, at the very least, all global symmetries are expected to be explicitly broken in the presence of gravity [8][9][10][11][12]. One definite origin of the symmetry breaking is coming from non-perturbative gravitational effects, which include gravitational instantons represented by Euclidean wormhole solutions [8,[13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. For the QCD axion scenario, this explicit PQ symmetry breaking becomes another source in addition to the QCD instanton effects, which shifts the vacuum expectation value (vev) away from the desired value that solves the strong CP problem, leading to the 'axion quality problem' [28][29][30][31][32]. ...

Reference:

Wormhole-induced ALP dark matter
Wormholes and masses for Goldstone bosons
  • Citing Preprint
  • June 2017

... The first few N 's are drawn in eqs. (1)(2)(3)(4)(5), up and bottom being the two sides of the shoe with holes marked as small circles. For N = 1 the laces out of a hole have to go to the only other hole but it could be that the string coming out on top on one side goes in from the top or bottom on the other for a total of two. ...

Amplitudes, resonances, and the ultraviolet completion of gravity

Physical Review D

... Such an axion gradient affects the SM particles through the second term in Eq. (1). In the limit that the SM particles are nonrelativistic as is the case in most detectors, the corresponding interaction in the Hamiltonian is (see, e.g., [12,13] for recent reviews) ...

Exploring the ultra-light to sub-MeV dark matter window with atomic clocks and co-magnetometers

Journal of High Energy Physics

... This requires to study in detail how the whole wave function of the elements of the device evolve with time. An example that may be illuminating is the work for atomic clocks and dark matter particles in [27,28]. With these operators, we can proceed and study their consequences (with our quantum technologies colleagues). ...

Scattering of light dark matter in atomic clocks

Physical Review D

... Clearly such an extraction scheme relies on the reconstruction of the τ rest frame, which in turn depends on detection of the τ momentum. For the QE scattering in this work, we expect that the τ three-momentum can be determined by detecting the Λ c momentum, contrary to the B-hadron semitauonic decays [60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75][76], the (anti-)neutrinonucleus inclusive scattering (ν τ ðν τ ÞA Z → τ ∓ X) [77,78], or the electron-ion inclusive collision (ep → τX) [79,80], in which the τ three-momentum cannot be determined precisely. ...

Tau polarimetry in B meson decays

SciPost Physics Proceedings

... Assuming that these operators are generated in the UV completion of the model through heavy particle exchange with presumably Oð1Þ coefficients (see, e.g., Refs. [5][6][7]), the hierarchies of the Yukawa couplings in the flavor basis are generated by the Uð1Þ X charge assignments of the SM fields and the flavon vev relative to the UV scale, ϵ. ...

A clockwork solution to the flavor puzzle

Journal of High Energy Physics

... Consequently, their mass can naturally be larger than the electroweak symmetry-breaking scale, enabling us to treat their effects in the framework of Standard Model Effective Field Theory (SMEFT). Such particles are ubiquitous across the broad beyond the Standard Model landscape, appearing in various models addressing the hierarchy problem [39][40][41][42][43][44][45][46], the flavour puzzle [47][48][49], the strong CP problem [50,51], as well as in the models explaining the origin of CP violation [52]. Moreover, vector-like quarks appear in supersymmetric theories [53][54][55][56] and as Kaluza-Klein modes in models with extra dimensions [57][58][59]. ...

A clockwork solution to the flavor puzzle
  • Citing Preprint
  • July 2018

... In case another source of explicit lepton number symmetry breaking (e.g. quantum gravity [97][98][99][100][101][102][103][104][105][106]) is responsible for significantly larger Majoron masses and thus domain wall tensions, we could use the comparatively tiny contribution from the weak anomaly in Eq. (5) as a bias term to make these walls collapse [107][108][109][110]. If the domain walls are present during BBN, they are subject to limits on the abundance of dark radiation [95]. ...

Wormholes and masses for Goldstone bosons

Journal of High Energy Physics

... Therefore, this model is severely constrained by different scattering experiments and cosmological observations [19,23,34]. On the other hand, the case of L i − L j [35], B − 3L i [36,37], B i − 3L j [38,39] etc., where i, j ¼ 1, 2, 3 denote the generations of SM fermions which are charged under the corresponding symmetry, constitutes a class of less constrained symmetries [19,21,23]. This is because for these symmetries not all quarks and leptons couple to Z 0 boson at the tree level. ...

Flavoured BLB-L Local Symmetry and Anomalous Rare B Decays

Physics Letters B

... For example, at higher energies these singlets may be charged under a flavored gauge symmetry that has been spontaneously broken at energies above NP , such as gauged horizontal baryon number U (1) B 1 −B 3 or third-generation baryon minus lepton number U (1) (B−L) 3 . For further such considerations we refer to, for example, [98][99][100][101][102][103][104], among many such works. ...

Anomaly-free local horizontal symmetry and anomaly-full rare B-decays

Physical Review D