diff --git a/include/picongpu/param/pusher.param b/include/picongpu/param/pusher.param
index dcf5597be0..a30fa58e93 100644
--- a/include/picongpu/param/pusher.param
+++ b/include/picongpu/param/pusher.param
@@ -62,6 +62,15 @@ namespace picongpu
         namespace sqrt_Vay = precision64Bit;
     }
 
+    namespace particlePusherHigueraCary
+    {
+        /** Precision of the square roots during the push step
+         *  - precision32Bit
+         *  - precision64Bit
+         */
+        namespace sqrt_HigueraCary = precision64Bit;
+    }
+
     namespace particlePusherAxel
     {
 
@@ -78,6 +87,7 @@ namespace picongpu
     {
     namespace pusher
     {
+        struct HigueraCary;
         struct Vay;
         struct Boris;
         struct Photon;
diff --git a/include/picongpu/param/species.param b/include/picongpu/param/species.param
index 5ae23aa732..5d1a6b3f06 100644
--- a/include/picongpu/param/species.param
+++ b/include/picongpu/param/species.param
@@ -1,4 +1,4 @@
-/* Copyright 2014-2020 Rene Widera, Richard Pausch
+/* Copyright 2014-2020 Rene Widera, Richard Pausch, Annegret Roeszler
  *
  * This file is part of PIConGPU.
  *
@@ -74,8 +74,9 @@ using UsedParticleCurrentSolver = currentSolver::Esirkepov< UsedParticleShape >;
  *
  * Defining a pusher is optional for particles
  *
- * - particles::pusher::Vay : better suited relativistic boris pusher
- * - particles::pusher::Boris : standard boris pusher
+ * - particles::pusher::HigueraCary : Higuera & Cary's relativistic pusher preserving both volume and ExB velocity
+ * - particles::pusher::Vay : Vay's relativistic pusher preserving ExB velocity
+ * - particles::pusher::Boris : Boris' relativistic pusher preserving volume
  * - particles::pusher::ReducedLandauLifshitz : 4th order RungeKutta pusher
  *                                              with classical radiation reaction
  *
diff --git a/include/picongpu/particles/pusher/particlePusherHigueraCary.hpp b/include/picongpu/particles/pusher/particlePusherHigueraCary.hpp
new file mode 100644
index 0000000000..f33c924fe3
--- /dev/null
+++ b/include/picongpu/particles/pusher/particlePusherHigueraCary.hpp
@@ -0,0 +1,145 @@
+/* Copyright 2013-2020 Heiko Burau, Rene Widera, Richard Pausch, Annegret Roeszler, Klaus Steiniger
+ *
+ * This file is part of PIConGPU.
+ *
+ * PIConGPU is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * PIConGPU is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with PIConGPU.
+ * If not, see <http://www.gnu.org/licenses/>.
+ */
+
+#pragma once
+
+#include "picongpu/simulation_defines.hpp"
+#include "picongpu/traits/attribute/GetMass.hpp"
+#include "picongpu/traits/attribute/GetCharge.hpp"
+
+
+namespace picongpu
+{
+namespace particlePusherHigueraCary
+{
+
+/** Implementation of the Higuera-Cary pusher as presented in doi:10.1063/1.4979989.
+ *
+ * A correction is applied to the given formulas as documented by the WarpX team:
+ * (https://github.com/ECP-WarpX/WarpX/issues/320).
+ *
+ * Note, while Higuera and Ripperda present the formulas for the quantity u = gamma * v,
+ * PIConGPU uses the real momentum p = gamma * m * v = u * m for calculations.
+ * Here, all auxiliary quantities are equal to those used in Ripperda's article.
+ *
+ * Further references:
+ * [Higuera's article on arxiv](https://arxiv.org/abs/1701.05605)
+ * [Riperda's comparison of relativistic particle integrators](https://doi.org/10.3847/1538-4365/aab114)
+ *
+ * @tparam Velocity functor to compute the velocity of a particle with momentum p and mass m
+ * @tparam Gamma functor to compute the Lorentz factor (= Energy/mc^2) of a particle with momentum p and mass m
+ */
+template<
+    typename Velocity,
+    typename Gamma
+>
+struct Push
+{
+    /* this is an optional extension for sub-sampling pushes that enables grid to particle interpolation
+     * for particle positions outside the super cell in one push
+     */
+    using LowerMargin = typename pmacc::math::CT::make_Int<simDim,0>::type;
+    using UpperMargin = typename pmacc::math::CT::make_Int<simDim,0>::type;
+
+    template< typename T_FunctorFieldE, typename T_FunctorFieldB, typename T_Particle, typename T_Pos >
+    HDINLINE void operator()(
+        T_FunctorFieldB const functorBField,
+        T_FunctorFieldE const functorEField,
+        T_Particle & particle,
+        T_Pos & pos,
+        uint32_t const
+    )
+    {
+        float_X const weighting = particle[ weighting_ ];
+        float_X const mass = attribute::getMass( weighting , particle );
+        float_X const charge = attribute::getCharge( weighting , particle );
+
+        using MomType = momentum::type;
+        MomType const mom = particle[ momentum_ ];
+
+        auto bField  = functorBField(pos);
+        auto eField  = functorEField(pos);
+
+        float_X const deltaT = DELTA_T;
+
+
+        Gamma gamma;
+
+        /* Momentum update
+         * Notation is according to Ripperda's paper
+         */
+        // First half electric field acceleration
+        namespace sqrt_HC = sqrt_HigueraCary;
+
+        sqrt_HC::float3_X const mom_minus = precisionCast<sqrt_HC::float_X>( mom + float_X(0.5) * charge * eField * deltaT );
+
+        // Auxiliary quantitites
+        sqrt_HC::float_X const gamma_minus = gamma( mom_minus , mass );
+
+        sqrt_HC::float3_X const tau = precisionCast<sqrt_HC::float_X>( float_X(0.5) * bField * charge * deltaT / mass );
+
+        sqrt_HC::float_X const sigma = pmacc::math::abs2( gamma_minus ) - pmacc::math::abs2( tau );
+
+        sqrt_HC::float_X const u_star = pmacc::math::dot( mom_minus, tau ) / precisionCast<sqrt_HC::float_X>( mass * SPEED_OF_LIGHT );
+
+        sqrt_HC::float_X const gamma_plus = math::sqrt(
+                sqrt_HC::float_X(0.5) * ( sigma + math::sqrt(
+                        pmacc::math::abs2( sigma ) + sqrt_HC::float_X(4.0) * ( pmacc::math::abs2( tau ) + pmacc::math::abs2( u_star ) )
+                    ) )
+            );
+
+        sqrt_HC::float3_X const t_vector = tau / gamma_plus;
+
+        sqrt_HC::float_X const s = sqrt_HC::float_X(1.0) / ( sqrt_HC::float_X(1.0) + pmacc::math::abs2( t_vector ) );
+
+        // Rotation step
+        sqrt_HC::float3_X const mom_plus = s * ( mom_minus
+                + pmacc::math::dot( mom_minus , t_vector ) * t_vector
+                + pmacc::math::cross( mom_minus , t_vector )
+            );
+
+        // Second half electric field acceleration (Note correction mom_minus -> mom_plus here compared to Ripperda)
+        MomType const mom_diff1 = float_X(0.5) * charge * eField * deltaT;
+        MomType const mom_diff2 = precisionCast<float_X>( pmacc::math::cross( mom_plus , t_vector ) );
+        MomType const mom_diff = mom_diff1 + mom_diff2;
+
+        MomType const new_mom = precisionCast<float_X>( mom_plus ) + mom_diff;
+
+        particle[ momentum_ ] = new_mom;
+
+        // Position update
+        Velocity velocity;
+
+        float3_X const vel = velocity( new_mom , mass );
+
+        for( uint32_t d=0 ; d<simDim ; ++d )
+        {
+            pos[d] += ( vel[d] * deltaT ) / cellSize[d];
+        }
+    }
+
+    static pmacc::traits::StringProperty getStringProperties()
+    {
+        pmacc::traits::StringProperty propList( "name", "HigueraCary" );
+        return propList;
+    }
+};
+
+} // namespace particlePusherHigueraCary
+} // namespace picongpu
diff --git a/include/picongpu/unitless/pusher.unitless b/include/picongpu/unitless/pusher.unitless
index c43aa7d2e4..0088cbca6d 100644
--- a/include/picongpu/unitless/pusher.unitless
+++ b/include/picongpu/unitless/pusher.unitless
@@ -1,4 +1,4 @@
-/* Copyright 2013-2020 Axel Huebl, Rene Widera, Richard Pausch
+/* Copyright 2013-2020 Axel Huebl, Rene Widera, Richard Pausch, Annegret Roeszler
  *
  * This file is part of PIConGPU.
  *
@@ -25,6 +25,7 @@
 #include "picongpu/particles/pusher/particlePusherAcceleration.hpp"
 #include "picongpu/particles/pusher/particlePusherBoris.hpp"
 #include "picongpu/particles/pusher/particlePusherVay.hpp"
+#include "picongpu/particles/pusher/particlePusherHigueraCary.hpp"
 #include "picongpu/particles/pusher/particlePusherFree.hpp"
 #include "picongpu/particles/pusher/particlePusherPhoton.hpp"
 #include "picongpu/particles/pusher/particlePusherProbe.hpp"
@@ -68,6 +69,11 @@ public particlePusherVay::Push<Velocity, Gamma<> >
 {
 };
 
+struct HigueraCary :
+public particlePusherHigueraCary::Push<Velocity, Gamma<> >
+{
+};
+
 struct Free :
 public particlePusherFree::Push<Velocity, Gamma<> >
 {
diff --git a/share/picongpu/examples/Bunch/include/picongpu/param/species.param b/share/picongpu/examples/Bunch/include/picongpu/param/species.param
index 86aea1bffb..4f6e2fb152 100644
--- a/share/picongpu/examples/Bunch/include/picongpu/param/species.param
+++ b/share/picongpu/examples/Bunch/include/picongpu/param/species.param
@@ -65,8 +65,9 @@ using UsedParticleCurrentSolver = currentSolver::Esirkepov< UsedParticleShape >;
  *
  * Defining a pusher is optional for particles
  *
- * - particles::pusher::Vay : better suited relativistic boris pusher
- * - particles::pusher::Boris : standard boris pusher
+ * - particles::pusher::HigueraCary : Higuera & Cary's relativistic pusher preserving both volume and ExB velocity
+ * - particles::pusher::Vay : Vay's relativistic pusher preserving ExB velocity
+ * - particles::pusher::Boris : Boris' relativistic pusher preserving volume
  * - particles::pusher::ReducedLandauLifshitz : 4th order RungeKutta pusher
  *                                              with classical radiation reaction
  *
diff --git a/share/picongpu/examples/KelvinHelmholtz/include/picongpu/param/species.param b/share/picongpu/examples/KelvinHelmholtz/include/picongpu/param/species.param
index 388415199c..fa2dedad45 100644
--- a/share/picongpu/examples/KelvinHelmholtz/include/picongpu/param/species.param
+++ b/share/picongpu/examples/KelvinHelmholtz/include/picongpu/param/species.param
@@ -71,8 +71,9 @@ using UsedParticleCurrentSolver = currentSolver::PARAM_CURRENTSOLVER;
  *
  * Defining a pusher is optional for particles
  *
- * - particles::pusher::Vay : better suited relativistic boris pusher
- * - particles::pusher::Boris : standard boris pusher
+ * - particles::pusher::HigueraCary : Higuera & Cary's relativistic pusher preserving both volume and ExB velocity
+ * - particles::pusher::Vay : Vay's relativistic pusher preserving ExB velocity
+ * - particles::pusher::Boris : Boris' relativistic pusher preserving volume
  * - particles::pusher::ReducedLandauLifshitz : 4th order RungeKutta pusher
  *                                              with classical radiation reaction
  *
diff --git a/share/picongpu/examples/LaserWakefield/include/picongpu/param/species.param b/share/picongpu/examples/LaserWakefield/include/picongpu/param/species.param
index 6def4fdd61..398bd46adc 100644
--- a/share/picongpu/examples/LaserWakefield/include/picongpu/param/species.param
+++ b/share/picongpu/examples/LaserWakefield/include/picongpu/param/species.param
@@ -71,8 +71,9 @@ using UsedParticleCurrentSolver = currentSolver::PARAM_CURRENTSOLVER< UsedPartic
  *
  * Defining a pusher is optional for particles
  *
- * - particles::pusher::Vay : better suited relativistic boris pusher
- * - particles::pusher::Boris : standard boris pusher
+ * - particles::pusher::HigueraCary : Higuera & Cary's relativistic pusher preserving both volume and ExB velocity
+ * - particles::pusher::Vay : Vay's relativistic pusher preserving ExB velocity
+ * - particles::pusher::Boris : Boris' relativistic pusher preserving volume
  * - particles::pusher::ReducedLandauLifshitz : 4th order RungeKutta pusher
  *                                              with classical radiation reaction
  *
diff --git a/share/picongpu/examples/SingleParticleTest/include/picongpu/param/species.param b/share/picongpu/examples/SingleParticleTest/include/picongpu/param/species.param
index d6765d8bc3..cf073af2c1 100644
--- a/share/picongpu/examples/SingleParticleTest/include/picongpu/param/species.param
+++ b/share/picongpu/examples/SingleParticleTest/include/picongpu/param/species.param
@@ -65,8 +65,9 @@ using UsedParticleCurrentSolver = currentSolver::Esirkepov<UsedParticleShape>;
  *
  * Defining a pusher is optional for particles
  *
- * - particles::pusher::Vay : better suited relativistic boris pusher
- * - particles::pusher::Boris : standard boris pusher
+ * - particles::pusher::HigueraCary : Higuera & Cary's relativistic pusher preserving both volume and ExB velocity
+ * - particles::pusher::Vay : Vay's relativistic pusher preserving ExB velocity
+ * - particles::pusher::Boris : Boris' relativistic pusher preserving volume
  * - particles::pusher::ReducedLandauLifshitz : 4th order RungeKutta pusher
  *                                              with classical radiation reaction
  *
diff --git a/share/picongpu/examples/TransitionRadiation/include/picongpu/param/species.param b/share/picongpu/examples/TransitionRadiation/include/picongpu/param/species.param
index 86aea1bffb..4f6e2fb152 100644
--- a/share/picongpu/examples/TransitionRadiation/include/picongpu/param/species.param
+++ b/share/picongpu/examples/TransitionRadiation/include/picongpu/param/species.param
@@ -65,8 +65,9 @@ using UsedParticleCurrentSolver = currentSolver::Esirkepov< UsedParticleShape >;
  *
  * Defining a pusher is optional for particles
  *
- * - particles::pusher::Vay : better suited relativistic boris pusher
- * - particles::pusher::Boris : standard boris pusher
+ * - particles::pusher::HigueraCary : Higuera & Cary's relativistic pusher preserving both volume and ExB velocity
+ * - particles::pusher::Vay : Vay's relativistic pusher preserving ExB velocity
+ * - particles::pusher::Boris : Boris' relativistic pusher preserving volume
  * - particles::pusher::ReducedLandauLifshitz : 4th order RungeKutta pusher
  *                                              with classical radiation reaction
  *